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</childnode>
</node>
<node id="9">
<label>src/include/serif/backend/mfem/solver/equilibrium.hpp</label>
<link refid="backend_2mfem_2solver_2equilibrium_8hpp"/>
<childnode refid="10" relation="include">
</childnode>
</node>
<node id="8">
<label>src/include/serif/backend/mfem/solver/nonlinear/stellar_problem.hpp</label>
<link refid="stellar__problem_8hpp"/>
<childnode refid="9" relation="include">
</childnode>
</node>
<node id="11">
<label>src/include/serif/solver/continuation/equilibrium.hpp</label>
<link refid="solver_2continuation_2equilibrium_8hpp"/>
<childnode refid="12" relation="include">
</childnode>
</node>
<node id="10">
<label>src/include/serif/solver/equilibrium.hpp</label>
<link refid="solver_2equilibrium_8hpp"/>
<childnode refid="11" relation="include">
</childnode>
<childnode refid="12" relation="include">
</childnode>
</node>
<node id="12">
<label>src/include/serif/solver/solver.hpp</label>
<link refid="solver_2solver_8hpp"/>
</node>
<node id="22">
<label>src/lib/serif/backend/mfem/model/system_selection.cpp</label>
<link refid="system__selection_8cpp"/>
</node>
</invincdepgraph>
<innernamespace refid="namespaceserif">serif</innernamespace>
<innernamespace refid="namespaceserif_1_1operators">serif::operators</innernamespace>
<innernamespace refid="namespaceserif_1_1operators_1_1backend">serif::operators::backend</innernamespace>
<innernamespace refid="namespaceserif_1_1operators_1_1backend_1_1mfem">serif::operators::backend::mfem</innernamespace>
<briefdescription>
</briefdescription>
<detaileddescription>
</detaileddescription>
<programlisting>
<codeline lineno="1"><highlight class="preprocessor">#pragma<sp/>once</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="2"><highlight class="normal"></highlight></codeline>
<codeline lineno="3"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;algorithm&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="4"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;array&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="5"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;functional&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="6"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;span&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="7"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;tuple&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="8"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;vector&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="9"><highlight class="normal"></highlight></codeline>
<codeline lineno="10"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="volume__inputs_8hpp" kindref="compound">serif/backend/mfem/operators/volume_inputs.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="11"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="element__evaluation_8hpp" kindref="compound">serif/backend/mfem/operators/element_evaluation.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="12"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="element__transpose_8hpp" kindref="compound">serif/backend/mfem/operators/element_transpose.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="13"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&quot;<ref refid="parallel_8hpp" kindref="compound">serif/backend/mfem/shared/parallel.hpp</ref>&quot;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="14"><highlight class="normal"></highlight></codeline>
<codeline lineno="15"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem" kindref="compound">serif::operators::backend::mfem</ref><sp/>{</highlight></codeline>
<codeline lineno="17"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>SchemaT&gt;</highlight></codeline>
<codeline lineno="18"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a2ce0b21e25c656b47e0495e92d737149" kindref="member">validate_volume_data</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_volume_data" kindref="compound">VolumeData&lt;EquationT, SchemaT&gt;</ref>&amp;<sp/>data)<sp/>{</highlight></codeline>
<codeline lineno="19"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/>namespace<sp/></highlight><highlight class="normal">utils::errors;</highlight></codeline>
<codeline lineno="20"><highlight class="normal"></highlight></codeline>
<codeline lineno="21"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref><sp/>=<sp/>data.configuration-&gt;discretization;</highlight></codeline>
<codeline lineno="22"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab7552fe569ef673db3da582a89ed1cbd" kindref="member">validate_volume_discretization</ref>(discretization);</highlight></codeline>
<codeline lineno="23"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">*<sp/>column<sp/>:<sp/>data.bindings.columns)<sp/>{</highlight></codeline>
<codeline lineno="24"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>column-&gt;validate();</highlight></codeline>
<codeline lineno="25"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="26"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::CACHE_FE_BINDING_ERROR&gt;(</highlight></codeline>
<codeline lineno="27"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.residual_binding.mesh().GetNodesSequence()<sp/>==<sp/>data.bindings.nodes_sequence,</highlight></codeline>
<codeline lineno="28"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="stringliteral">&quot;The<sp/>prepared<sp/>equation<sp/>mesh<sp/>changed;<sp/>prepare<sp/>again<sp/>or<sp/>rebuild<sp/>its<sp/>bindings.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="29"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="30"><highlight class="normal"></highlight></codeline>
<codeline lineno="32"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>SchemaT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>VisitT&gt;</highlight></codeline>
<codeline lineno="33"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a718862dd1fe657d4885b011fd55cde46" kindref="member">for_each_volume_element</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_volume_data" kindref="compound">VolumeData&lt;EquationT, SchemaT&gt;</ref>&amp;<sp/>data,<sp/>VisitT&amp;&amp;<sp/>visit)<sp/>{</highlight></codeline>
<codeline lineno="34"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[&amp;]&lt;std::size_t...<sp/>Indices&gt;(std::index_sequence&lt;Indices...&gt;)<sp/>{</highlight></codeline>
<codeline lineno="35"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>visit_contribution<sp/>=<sp/>[&amp;]&lt;std::size_t<sp/>Index&gt;()<sp/>{</highlight></codeline>
<codeline lineno="36"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Contribution<sp/>=<sp/>std::tuple_element_t&lt;Index,<sp/>equations::ContributionsOf&lt;EquationT&gt;&gt;;</highlight></codeline>
<codeline lineno="37"><highlight class="normal"></highlight></codeline>
<codeline lineno="38"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>element<sp/>:<sp/>data.contributions[Index])<sp/>{</highlight></codeline>
<codeline lineno="39"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>visit.template<sp/>operator()&lt;Contribution&gt;(*element);</highlight></codeline>
<codeline lineno="40"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="41"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="42"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>(visit_contribution.template<sp/>operator()&lt;Indices&gt;(),<sp/>...);</highlight></codeline>
<codeline lineno="43"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}(std::make_index_sequence&lt;std::tuple_size_v&lt;equations::ContributionsOf&lt;EquationT&gt;&gt;&gt;{});</highlight></codeline>
<codeline lineno="44"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="45"><highlight class="normal"></highlight></codeline>
<codeline lineno="47"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>SchemaT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>VisitT&gt;</highlight></codeline>
<codeline lineno="48"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1abbac49d7d6daa9ce9fe76342339d94fe" kindref="member">for_each_volume_linearization</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_volume_data" kindref="compound">VolumeData&lt;EquationT, SchemaT&gt;</ref>&amp;<sp/>data,<sp/>VisitT&amp;&amp;<sp/>visit)<sp/>{</highlight></codeline>
<codeline lineno="49"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>[&amp;]&lt;std::size_t...<sp/>Indices&gt;(std::index_sequence&lt;Indices...&gt;)<sp/>{</highlight></codeline>
<codeline lineno="50"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>visit_contribution<sp/>=<sp/>[&amp;]&lt;std::size_t<sp/>Index&gt;()<sp/>{</highlight></codeline>
<codeline lineno="51"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal">Contribution<sp/>=<sp/>std::tuple_element_t&lt;Index,<sp/>equations::ContributionsOf&lt;EquationT&gt;&gt;;</highlight></codeline>
<codeline lineno="52"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>elements<sp/>=<sp/>data.contributions[Index];</highlight></codeline>
<codeline lineno="53"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(std::size_t<sp/>element<sp/>=<sp/>0;<sp/>element<sp/>&lt;<sp/>elements.size();<sp/>++element)<sp/>{</highlight></codeline>
<codeline lineno="54"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>visit.template<sp/>operator()&lt;Contribution&gt;(*elements[element],<sp/>*data.geometry_derivatives[Index][element]);</highlight></codeline>
<codeline lineno="55"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="56"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="57"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>(visit_contribution.template<sp/>operator()&lt;Indices&gt;(),<sp/>...);</highlight></codeline>
<codeline lineno="58"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}(std::make_index_sequence&lt;std::tuple_size_v&lt;equations::ContributionsOf&lt;EquationT&gt;&gt;&gt;{});</highlight></codeline>
<codeline lineno="59"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="60"><highlight class="normal"></highlight></codeline>
<codeline lineno="62"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>SchemaT&gt;</highlight></codeline>
<codeline lineno="63"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1aff66659e150d476efb64d1a9651cde42" kindref="member">volume_height</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_volume_data" kindref="compound">VolumeData&lt;EquationT, SchemaT&gt;</ref>&amp;<sp/>data)<sp/>{</highlight></codeline>
<codeline lineno="64"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a2ce0b21e25c656b47e0495e92d737149" kindref="member">validate_volume_data</ref>(data);</highlight></codeline>
<codeline lineno="65"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>data.configuration-&gt;discretization.residual_binding.size();</highlight></codeline>
<codeline lineno="66"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="67"><highlight class="normal"></highlight></codeline>
<codeline lineno="69"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>SchemaT&gt;</highlight></codeline>
<codeline lineno="70"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a33f731c05cee3a752100263240731095" kindref="member">volume_width</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_volume_data" kindref="compound">VolumeData&lt;EquationT, SchemaT&gt;</ref>&amp;<sp/>data)<sp/>{</highlight></codeline>
<codeline lineno="71"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a2ce0b21e25c656b47e0495e92d737149" kindref="member">validate_volume_data</ref>(data);</highlight></codeline>
<codeline lineno="72"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>size<sp/>=<sp/>data.configuration-&gt;discretization.displacement_binding.size();</highlight></codeline>
<codeline lineno="73"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">*<sp/>column<sp/>:<sp/>data.bindings.columns)<sp/>{</highlight></codeline>
<codeline lineno="74"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>size<sp/>+=<sp/>column-&gt;size();</highlight></codeline>
<codeline lineno="75"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="76"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>size;</highlight></codeline>
<codeline lineno="77"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="78"><highlight class="normal"></highlight></codeline>
<codeline lineno="80"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>SchemaT&gt;</highlight></codeline>
<codeline lineno="81"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>std::size_t<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a368650f559a68f188f858849afdd7471" kindref="member">tensor_element_count</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_volume_data" kindref="compound">VolumeData&lt;EquationT, SchemaT&gt;</ref>&amp;<sp/>data)<sp/>{</highlight></codeline>
<codeline lineno="82"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a2ce0b21e25c656b47e0495e92d737149" kindref="member">validate_volume_data</ref>(data);</highlight></codeline>
<codeline lineno="83"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::size_t<sp/>count<sp/>=<sp/>0;</highlight></codeline>
<codeline lineno="84"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a718862dd1fe657d4885b011fd55cde46" kindref="member">for_each_volume_element</ref>(data,<sp/>[&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>ContributionT&gt;(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>element)<sp/>{</highlight></codeline>
<codeline lineno="85"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/>tensor<sp/>=<sp/>element.basis-&gt;displacement_basis.uses_tensor()<sp/>||<sp/>element.geometry-&gt;test_basis.uses_tensor();</highlight></codeline>
<codeline lineno="86"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>basis<sp/>:<sp/>element.geometry-&gt;operand_basis)<sp/>{</highlight></codeline>
<codeline lineno="87"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>tensor<sp/>=<sp/>tensor<sp/>||<sp/>basis.uses_tensor();</highlight></codeline>
<codeline lineno="88"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="89"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>count<sp/>+=<sp/>tensor;</highlight></codeline>
<codeline lineno="90"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="91"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>count;</highlight></codeline>
<codeline lineno="92"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="93"><highlight class="normal"></highlight></codeline>
<codeline lineno="95"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>SchemaT&gt;</highlight></codeline>
<codeline lineno="96"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a3aa198a397c6c767f89de3518c127b76" kindref="member">integration_order</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_volume_data" kindref="compound">VolumeData&lt;EquationT, SchemaT&gt;</ref>&amp;<sp/>data,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>element)<sp/>{</highlight></codeline>
<codeline lineno="97"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/>namespace<sp/></highlight><highlight class="normal">utils::errors;</highlight></codeline>
<codeline lineno="98"><highlight class="normal"></highlight></codeline>
<codeline lineno="99"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a2ce0b21e25c656b47e0495e92d737149" kindref="member">validate_volume_data</ref>(data);</highlight></codeline>
<codeline lineno="100"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>order<sp/>=<sp/>-1;</highlight></codeline>
<codeline lineno="101"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a718862dd1fe657d4885b011fd55cde46" kindref="member">for_each_volume_element</ref>(data,<sp/>[&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>ContributionT&gt;(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>entry)<sp/>{</highlight></codeline>
<codeline lineno="102"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(entry.element<sp/>==<sp/>element)<sp/>{</highlight></codeline>
<codeline lineno="103"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>order<sp/>=<sp/>std::max(order,<sp/>entry.basis-&gt;rule-&gt;GetOrder());</highlight></codeline>
<codeline lineno="104"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="105"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="106"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::OUT_OF_RANGE_ERROR,<sp/>std::out_of_range&gt;(</highlight></codeline>
<codeline lineno="107"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>order<sp/>&gt;=<sp/>0,<sp/></highlight><highlight class="stringliteral">&quot;Element<sp/>{}<sp/>is<sp/>not<sp/>in<sp/>the<sp/>prepared<sp/>equation<sp/>support.&quot;</highlight><highlight class="normal">,<sp/>element);</highlight></codeline>
<codeline lineno="108"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>order;</highlight></codeline>
<codeline lineno="109"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="110"><highlight class="normal"></highlight></codeline>
<codeline lineno="112"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>SchemaT&gt;</highlight></codeline>
<codeline lineno="113"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a1efb6ecb2c7b725a60484600e7f82196" kindref="member">volume_residual</ref>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_volume_data" kindref="compound">VolumeData&lt;EquationT, SchemaT&gt;</ref>&amp;<sp/>data,<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref>&amp;<sp/>result)<sp/>{</highlight></codeline>
<codeline lineno="114"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a2ce0b21e25c656b47e0495e92d737149" kindref="member">validate_volume_data</ref>(data);</highlight></codeline>
<codeline lineno="115"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result<sp/>=<sp/>data.residual;</highlight></codeline>
<codeline lineno="116"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="117"><highlight class="normal"></highlight></codeline>
<codeline lineno="119"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;std::</highlight><highlight class="keywordtype">size_t</highlight><highlight class="normal"><sp/>Count&gt;</highlight></codeline>
<codeline lineno="120"><highlight class="normal"><sp/><sp/><sp/><sp/>[[nodiscard]]<sp/>std::array&lt;discretization::backend::mfem::DofMap::Elements,<sp/>Count&gt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1aec7527f93b877c641a13bc997d00a68e" kindref="member">column_elements</ref>(</highlight></codeline>
<codeline lineno="121"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::array&lt;const<sp/>discretization::backend::mfem::DofMap*,<sp/>Count&gt;&amp;<sp/>columns</highlight></codeline>
<codeline lineno="122"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="123"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::apply([](</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">*...<sp/>column)<sp/>{</highlight></codeline>
<codeline lineno="124"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal"><sp/>std::array&lt;discretization::backend::mfem::DofMap::Elements,<sp/>Count&gt;{column-&gt;validated_elements()...};</highlight></codeline>
<codeline lineno="125"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>},<sp/>columns);</highlight></codeline>
<codeline lineno="126"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="127"><highlight class="normal"></highlight></codeline>
<codeline lineno="129"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;</highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/>Fields<sp/>=<sp/>true,<sp/></highlight><highlight class="keywordtype">bool</highlight><highlight class="normal"><sp/>Geometry<sp/>=<sp/>true,<sp/>VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>SchemaT&gt;</highlight></codeline>
<codeline lineno="130"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1acf1a4b7b266494712953eae77707edc4" kindref="member">apply_volume_direction</ref>(</highlight></codeline>
<codeline lineno="131"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_volume_data" kindref="compound">VolumeData&lt;EquationT, SchemaT&gt;</ref>&amp;<sp/>data,</highlight></codeline>
<codeline lineno="132"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::array&lt;const<sp/>::mfem::Vector*,<sp/>EquationPlan&lt;EquationT&gt;::column_count&gt;&amp;<sp/>directions,</highlight></codeline>
<codeline lineno="133"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::Vector&amp;<sp/>displacement_direction,</highlight></codeline>
<codeline lineno="134"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_workspace" kindref="compound">Workspace</ref>&amp;<sp/>workspace,</highlight></codeline>
<codeline lineno="135"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref>&amp;<sp/>result</highlight></codeline>
<codeline lineno="136"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="137"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1compile__time__checks_1_1barotropic__density_1a49c3bd254d7b793129cead31e1803890" kindref="member">Plan</ref><sp/>=<sp/>EquationPlan&lt;EquationT&gt;;</highlight></codeline>
<codeline lineno="138"><highlight class="normal"></highlight></codeline>
<codeline lineno="139"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a2ce0b21e25c656b47e0495e92d737149" kindref="member">validate_volume_data</ref>(data);</highlight></codeline>
<codeline lineno="140"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref><sp/>=<sp/>data.configuration-&gt;discretization;</highlight></codeline>
<codeline lineno="141"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1_1volume__keys_1af83c50f3cf4a104f3e6c018312b0371b" kindref="member">Geometry</ref>)<sp/>{</highlight></codeline>
<codeline lineno="142"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.displacement_binding.validate_values(displacement_direction);</highlight></codeline>
<codeline lineno="143"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="144"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(Fields)<sp/>{</highlight></codeline>
<codeline lineno="145"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(std::size_t<sp/>column<sp/>=<sp/>0;<sp/>column<sp/>&lt;<sp/>Plan::column_count;<sp/>++column)<sp/>{</highlight></codeline>
<codeline lineno="146"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>data.bindings.columns[column]-&gt;validate_values(*directions[column]);</highlight></codeline>
<codeline lineno="147"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="148"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="149"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.full_result.SetSize(<ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.residual_binding.full_size());</highlight></codeline>
<codeline lineno="150"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.full_result<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="151"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.operand_values.resize(Plan::operand_count);</highlight></codeline>
<codeline lineno="152"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>utils::CompensatedSum<sp/>global_sum;</highlight></codeline>
<codeline lineno="153"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>rows<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.residual_binding.validated_elements();</highlight></codeline>
<codeline lineno="154"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>columns<sp/>=<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1aec7527f93b877c641a13bc997d00a68e" kindref="member">column_elements</ref>(data.bindings.columns);</highlight></codeline>
<codeline lineno="155"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>displacement<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.displacement_binding.validated_elements();</highlight></codeline>
<codeline lineno="156"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>Element<sp/>actions<sp/>are<sp/>independent<sp/>and<sp/>run<sp/>concurrently,<sp/>each<sp/>into<sp/>its<sp/>own<sp/>result.<sp/>They<sp/>are<sp/>then<sp/>added</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="157"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>into<sp/>the<sp/>residual<sp/>one<sp/>by<sp/>one<sp/>in<sp/>the<sp/>original<sp/>element<sp/>order,<sp/>so<sp/>every<sp/>sum<sp/>is<sp/>unchanged.</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="158"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;std::function&lt;void(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_workspace" kindref="compound">Workspace</ref>&amp;,<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref>&amp;)&gt;&gt;<sp/>actions;</highlight></codeline>
<codeline lineno="159"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;int&gt;<sp/>action_elements;</highlight></codeline>
<codeline lineno="160"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1abbac49d7d6daa9ce9fe76342339d94fe" kindref="member">for_each_volume_linearization</ref>(data,<sp/>[&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>ContributionT&gt;(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>element,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>geometry_derivatives)<sp/>{</highlight></codeline>
<codeline lineno="161"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>action_elements.push_back(element.element);</highlight></codeline>
<codeline lineno="162"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>actions.emplace_back([&amp;](<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_workspace" kindref="compound">Workspace</ref>&amp;<sp/>local,<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref>&amp;<sp/>element_result)<sp/>{</highlight></codeline>
<codeline lineno="163"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a33dcbcc9bc614c25f86da4cbe2a9aaae" kindref="member">element_jacobian_action&lt;EquationT, ContributionT, Fields, Geometry&gt;</ref>(</highlight></codeline>
<codeline lineno="164"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>element,<sp/>geometry_derivatives,<sp/>columns,<sp/>directions,<sp/>displacement,</highlight></codeline>
<codeline lineno="165"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>displacement_direction,<sp/>local,<sp/>element_result);</highlight></codeline>
<codeline lineno="166"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="167"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="168"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;::mfem::Vector&gt;<sp/>element_results(actions.size());</highlight></codeline>
<codeline lineno="169"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>workers<sp/>=<sp/><ref refid="namespaceserif_1_1utils_1_1parallel_1a845c655da35a46d0be87880f0e4fa2d9" kindref="member">utils::parallel::worker_count</ref>();</highlight></codeline>
<codeline lineno="170"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;Workspace&gt;<sp/>worker_workspaces(</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(workers<sp/>&gt;<sp/>1<sp/>?<sp/>workers<sp/>-<sp/>1<sp/>:<sp/>0));</highlight></codeline>
<codeline lineno="171"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>local<sp/>:<sp/>worker_workspaces)<sp/>{</highlight></codeline>
<codeline lineno="172"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>local.operand_values.resize(Plan::operand_count);</highlight></codeline>
<codeline lineno="173"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="174"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1utils_1_1parallel_1a453320d288c9e42300bdc59ee8dccd2d" kindref="member">utils::parallel::for_each_index</ref>(</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">int</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(actions.size()),<sp/>[&amp;](</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>worker)<sp/>{</highlight></codeline>
<codeline lineno="175"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Workspace&amp;<sp/>local<sp/>=<sp/>worker<sp/>==<sp/>0<sp/>?<sp/>workspace<sp/>:<sp/>worker_workspaces[static_cast&lt;std::size_t&gt;(worker<sp/>-<sp/>1)];</highlight></codeline>
<codeline lineno="176"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>actions[static_cast&lt;std::size_t&gt;(index)](local,<sp/>element_results[static_cast&lt;std::size_t&gt;(index)]);</highlight></codeline>
<codeline lineno="177"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="178"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(std::size_t<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref><sp/>=<sp/>0;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref><sp/>&lt;<sp/>actions.size();<sp/>++<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>)<sp/>{</highlight></codeline>
<codeline lineno="179"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(discretization::blocks::GlobalScalarTerm&lt;typename<sp/>Plan::Test&gt;)<sp/>{</highlight></codeline>
<codeline lineno="180"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>global_sum.add(element_results[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>][0]);</highlight></codeline>
<codeline lineno="181"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/>{</highlight></codeline>
<codeline lineno="182"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>rows.add_element(action_elements[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>],<sp/>element_results[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>],<sp/>workspace.full_result);</highlight></codeline>
<codeline lineno="183"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="184"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="185"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(discretization::blocks::GlobalScalarTerm&lt;typename<sp/>Plan::Test&gt;)<sp/>{</highlight></codeline>
<codeline lineno="186"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>workspace.full_result[0]<sp/>=<sp/>global_sum.value();</highlight></codeline>
<codeline lineno="187"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="188"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.residual_binding.accumulate_dual(workspace.full_result);</highlight></codeline>
<codeline lineno="189"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.residual_binding.validate_values(result);</highlight></codeline>
<codeline lineno="190"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="191"><highlight class="normal"></highlight></codeline>
<codeline lineno="197"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>SchemaT&gt;</highlight></codeline>
<codeline lineno="198"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a65e4f364402b0e2486b3bc0a849f5ca4" kindref="member">apply_volume_displacements</ref>(</highlight></codeline>
<codeline lineno="199"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_volume_data" kindref="compound">VolumeData&lt;EquationT, SchemaT&gt;</ref>&amp;<sp/>data,</highlight></codeline>
<codeline lineno="200"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::span&lt;const<sp/>::mfem::Vector*<sp/>const&gt;<sp/>displacement_directions,</highlight></codeline>
<codeline lineno="201"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::span&lt;::mfem::Vector*<sp/>const&gt;<sp/>results</highlight></codeline>
<codeline lineno="202"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="203"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1compile__time__checks_1_1barotropic__density_1a49c3bd254d7b793129cead31e1803890" kindref="member">Plan</ref><sp/>=<sp/>EquationPlan&lt;EquationT&gt;;</highlight></codeline>
<codeline lineno="204"><highlight class="normal"></highlight></codeline>
<codeline lineno="205"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a2ce0b21e25c656b47e0495e92d737149" kindref="member">validate_volume_data</ref>(data);</highlight></codeline>
<codeline lineno="206"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref><sp/>=<sp/>data.configuration-&gt;discretization;</highlight></codeline>
<codeline lineno="207"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">*<sp/>direction<sp/>:<sp/>displacement_directions)<sp/>{</highlight></codeline>
<codeline lineno="208"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.displacement_binding.validate_values(*direction);</highlight></codeline>
<codeline lineno="209"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="210"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>rows<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.residual_binding.validated_elements();</highlight></codeline>
<codeline lineno="211"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>columns<sp/>=<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1aec7527f93b877c641a13bc997d00a68e" kindref="member">column_elements</ref>(data.bindings.columns);</highlight></codeline>
<codeline lineno="212"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>displacement<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.displacement_binding.validated_elements();</highlight></codeline>
<codeline lineno="213"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;std::function&lt;void(<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_workspace" kindref="compound">Workspace</ref>&amp;,<sp/>std::span&lt;::mfem::Vector*<sp/>const&gt;)&gt;&gt;<sp/>actions;</highlight></codeline>
<codeline lineno="214"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;int&gt;<sp/>action_elements;</highlight></codeline>
<codeline lineno="215"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1abbac49d7d6daa9ce9fe76342339d94fe" kindref="member">for_each_volume_linearization</ref>(data,<sp/>[&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>ContributionT&gt;(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>element,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>geometry_derivatives)<sp/>{</highlight></codeline>
<codeline lineno="216"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>action_elements.push_back(element.element);</highlight></codeline>
<codeline lineno="217"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>actions.emplace_back([&amp;](<ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_workspace" kindref="compound">Workspace</ref>&amp;<sp/>local,<sp/>std::span&lt;::mfem::Vector*<sp/>const&gt;<sp/>element_results)<sp/>{</highlight></codeline>
<codeline lineno="218"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a613516d8052b46273adb13dc11dff403" kindref="member">element_geometry_actions&lt;EquationT, ContributionT&gt;</ref>(</highlight></codeline>
<codeline lineno="219"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>element,<sp/>geometry_derivatives,<sp/>displacement,<sp/>displacement_directions,<sp/>local,<sp/>element_results);</highlight></codeline>
<codeline lineno="220"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="221"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="222"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::size_t<sp/>elements<sp/>=<sp/>actions.size();</highlight></codeline>
<codeline lineno="223"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>std::size_t<sp/>count<sp/>=<sp/>displacement_directions.size();</highlight></codeline>
<codeline lineno="224"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="comment">//<sp/>element_results[direction<sp/>*<sp/>elements<sp/>+<sp/>element]</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="225"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;::mfem::Vector&gt;<sp/>element_results(elements<sp/>*<sp/>count);</highlight></codeline>
<codeline lineno="226"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>workers<sp/>=<sp/><ref refid="namespaceserif_1_1utils_1_1parallel_1a845c655da35a46d0be87880f0e4fa2d9" kindref="member">utils::parallel::worker_count</ref>();</highlight></codeline>
<codeline lineno="227"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;Workspace&gt;<sp/>worker_workspaces(</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(workers));</highlight></codeline>
<codeline lineno="228"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(</highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>local<sp/>:<sp/>worker_workspaces)<sp/>{</highlight></codeline>
<codeline lineno="229"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>local.operand_values.resize(Plan::operand_count);</highlight></codeline>
<codeline lineno="230"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="231"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1utils_1_1parallel_1a453320d288c9e42300bdc59ee8dccd2d" kindref="member">utils::parallel::for_each_index</ref>(</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">int</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(elements),<sp/>[&amp;](</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>element,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>worker)<sp/>{</highlight></codeline>
<codeline lineno="232"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::vector&lt;::mfem::Vector*&gt;<sp/>lanes(count);</highlight></codeline>
<codeline lineno="233"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(std::size_t<sp/>direction<sp/>=<sp/>0;<sp/>direction<sp/>&lt;<sp/>count;<sp/>++direction)<sp/>{</highlight></codeline>
<codeline lineno="234"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>lanes[direction]<sp/>=<sp/>&amp;element_results[direction<sp/>*<sp/>elements<sp/>+<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(element)];</highlight></codeline>
<codeline lineno="235"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="236"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>actions[</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(element)](worker_workspaces[</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(worker)],<sp/>lanes);</highlight></codeline>
<codeline lineno="237"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="238"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1utils_1_1parallel_1a453320d288c9e42300bdc59ee8dccd2d" kindref="member">utils::parallel::for_each_index</ref>(</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="keywordtype">int</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(count),<sp/>[&amp;](</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>direction,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal">)<sp/>{</highlight></codeline>
<codeline lineno="239"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>first<sp/>=<sp/></highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(direction)<sp/>*<sp/>elements;</highlight></codeline>
<codeline lineno="240"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref><sp/>full(<ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.residual_binding.full_size());</highlight></codeline>
<codeline lineno="241"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>full<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="242"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>utils::CompensatedSum<sp/>global_sum;</highlight></codeline>
<codeline lineno="243"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(std::size_t<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref><sp/>=<sp/>0;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref><sp/>&lt;<sp/>elements;<sp/>++<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>)<sp/>{</highlight></codeline>
<codeline lineno="244"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(discretization::blocks::GlobalScalarTerm&lt;typename<sp/>Plan::Test&gt;)<sp/>{</highlight></codeline>
<codeline lineno="245"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>global_sum.add(element_results[first<sp/>+<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>][0]);</highlight></codeline>
<codeline lineno="246"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/>{</highlight></codeline>
<codeline lineno="247"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>rows.add_element(action_elements[<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>],<sp/>element_results[first<sp/>+<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ab297c6eedd8df878b6af2135b05e4616" kindref="member">index</ref>],<sp/>full);</highlight></codeline>
<codeline lineno="248"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="249"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="250"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(discretization::blocks::GlobalScalarTerm&lt;typename<sp/>Plan::Test&gt;)<sp/>{</highlight></codeline>
<codeline lineno="251"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>full[0]<sp/>=<sp/>global_sum.value();</highlight></codeline>
<codeline lineno="252"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="253"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>result<sp/>=<sp/>*results[</highlight><highlight class="keyword">static_cast&lt;</highlight><highlight class="normal">std::size_t</highlight><highlight class="keyword">&gt;</highlight><highlight class="normal">(direction)];</highlight></codeline>
<codeline lineno="254"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.residual_binding.accumulate_dual(full);</highlight></codeline>
<codeline lineno="255"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.residual_binding.validate_values(result);</highlight></codeline>
<codeline lineno="256"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="257"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="258"><highlight class="normal"></highlight></codeline>
<codeline lineno="260"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>SchemaT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>CoefficientsT&gt;</highlight></codeline>
<codeline lineno="261"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a4942d6272956339f36fed0b324db245d" kindref="member">apply_jacobian</ref>(</highlight></codeline>
<codeline lineno="262"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_volume_data" kindref="compound">VolumeData&lt;EquationT, SchemaT&gt;</ref>&amp;<sp/>data,</highlight></codeline>
<codeline lineno="263"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/>CoefficientsT&amp;<sp/>direction,</highlight></codeline>
<codeline lineno="264"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::Vector&amp;<sp/>displacement_direction,</highlight></codeline>
<codeline lineno="265"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_workspace" kindref="compound">Workspace</ref>&amp;<sp/>workspace,</highlight></codeline>
<codeline lineno="266"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref>&amp;<sp/>result</highlight></codeline>
<codeline lineno="267"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="268"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/>namespace<sp/></highlight><highlight class="normal">utils::errors;</highlight></codeline>
<codeline lineno="269"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1compile__time__checks_1_1barotropic__density_1a49c3bd254d7b793129cead31e1803890" kindref="member">Plan</ref><sp/>=<sp/>EquationPlan&lt;EquationT&gt;;</highlight></codeline>
<codeline lineno="270"><highlight class="normal"></highlight></codeline>
<codeline lineno="271"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::array&lt;const<sp/>::mfem::Vector*,<sp/>Plan::column_count&gt;<sp/>directions;</highlight></codeline>
<codeline lineno="272"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Plan::for_each_column([&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>OperandT&gt;(OperandT,<sp/>std::size_t<sp/>column)<sp/>{</highlight></codeline>
<codeline lineno="273"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>input<sp/>=<sp/>direction.template<sp/>get&lt;typename<sp/>OperandT::term_type&gt;();</highlight></codeline>
<codeline lineno="274"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::CACHE_FE_BINDING_ERROR,<sp/>std::invalid_argument&gt;(</highlight></codeline>
<codeline lineno="275"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>&amp;input.binding<sp/>==<sp/>data.bindings.columns[column],</highlight></codeline>
<codeline lineno="276"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="stringliteral">&quot;Jacobian<sp/>directions<sp/>must<sp/>use<sp/>the<sp/>prepared<sp/>coefficient<sp/>bindings.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="277"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>directions[column]<sp/>=<sp/>&amp;input.values;</highlight></codeline>
<codeline lineno="278"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="279"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1acf1a4b7b266494712953eae77707edc4" kindref="member">apply_volume_direction</ref>(data,<sp/>directions,<sp/>displacement_direction,<sp/>workspace,<sp/>result);</highlight></codeline>
<codeline lineno="280"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="281"><highlight class="normal"></highlight></codeline>
<codeline lineno="283"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>SchemaT&gt;</highlight></codeline>
<codeline lineno="284"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a4942d6272956339f36fed0b324db245d" kindref="member">apply_jacobian</ref>(</highlight></codeline>
<codeline lineno="285"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_volume_data" kindref="compound">VolumeData&lt;EquationT, SchemaT&gt;</ref>&amp;<sp/>data,</highlight></codeline>
<codeline lineno="286"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::Vector&amp;<sp/>direction,</highlight></codeline>
<codeline lineno="287"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_workspace" kindref="compound">Workspace</ref>&amp;<sp/>workspace,</highlight></codeline>
<codeline lineno="288"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref>&amp;<sp/>result</highlight></codeline>
<codeline lineno="289"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="290"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/>namespace<sp/></highlight><highlight class="normal">utils::errors;</highlight></codeline>
<codeline lineno="291"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1compile__time__checks_1_1barotropic__density_1a49c3bd254d7b793129cead31e1803890" kindref="member">Plan</ref><sp/>=<sp/>EquationPlan&lt;EquationT&gt;;</highlight></codeline>
<codeline lineno="292"><highlight class="normal"></highlight></codeline>
<codeline lineno="293"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>serif_ensure&lt;SERiFErrorCode::INVALID_DOF_COUNT,<sp/>std::invalid_argument&gt;(</highlight></codeline>
<codeline lineno="294"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>direction.Size()<sp/>==<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a33f731c05cee3a752100263240731095" kindref="member">volume_width</ref>(data),<sp/></highlight><highlight class="stringliteral">&quot;Packed<sp/>equation<sp/>direction<sp/>has<sp/>the<sp/>wrong<sp/>size.&quot;</highlight><highlight class="normal">);</highlight></codeline>
<codeline lineno="295"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::array&lt;::mfem::Vector,<sp/>Plan::column_count&gt;<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>;</highlight></codeline>
<codeline lineno="296"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::array&lt;const<sp/>::mfem::Vector*,<sp/>Plan::column_count&gt;<sp/>directions;</highlight></codeline>
<codeline lineno="297"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>offset<sp/>=<sp/>0;</highlight></codeline>
<codeline lineno="298"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(std::size_t<sp/>column<sp/>=<sp/>0;<sp/>column<sp/>&lt;<sp/>Plan::column_count;<sp/>++column)<sp/>{</highlight></codeline>
<codeline lineno="299"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>[column].SetSize(data.bindings.columns[column]-&gt;size());</highlight></codeline>
<codeline lineno="300"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::copy_n(direction.GetData()<sp/>+<sp/>offset,<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>[column].Size(),<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>[column].GetData());</highlight></codeline>
<codeline lineno="301"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>directions[column]<sp/>=<sp/>&amp;<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>[column];</highlight></codeline>
<codeline lineno="302"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>offset<sp/>+=<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>[column].Size();</highlight></codeline>
<codeline lineno="303"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="304"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref><sp/>displacement_direction(data.configuration-&gt;discretization.displacement_binding.size());</highlight></codeline>
<codeline lineno="305"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::copy_n(direction.GetData()<sp/>+<sp/>offset,<sp/>displacement_direction.Size(),<sp/>displacement_direction.GetData());</highlight></codeline>
<codeline lineno="306"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1acf1a4b7b266494712953eae77707edc4" kindref="member">apply_volume_direction</ref>(data,<sp/>directions,<sp/>displacement_direction,<sp/>workspace,<sp/>result);</highlight></codeline>
<codeline lineno="307"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="308"><highlight class="normal"></highlight></codeline>
<codeline lineno="310"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">template</highlight><highlight class="normal"><sp/>&lt;VolumeEquation<sp/>EquationT,<sp/></highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>SchemaT&gt;</highlight></codeline>
<codeline lineno="311"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ad1aedc69453bbdc1c7746c64f8d88812" kindref="member">apply_jacobian_transpose</ref>(</highlight></codeline>
<codeline lineno="312"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_volume_data" kindref="compound">VolumeData&lt;EquationT, SchemaT&gt;</ref>&amp;<sp/>data,</highlight></codeline>
<codeline lineno="313"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>const<sp/>::mfem::Vector&amp;<sp/>residual_dual,</highlight></codeline>
<codeline lineno="314"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="structserif_1_1operators_1_1backend_1_1mfem_1_1_workspace" kindref="compound">Workspace</ref>&amp;<sp/>workspace,</highlight></codeline>
<codeline lineno="315"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref>&amp;<sp/>result</highlight></codeline>
<codeline lineno="316"><highlight class="normal"><sp/><sp/><sp/><sp/>)<sp/>{</highlight></codeline>
<codeline lineno="317"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">using<sp/></highlight><highlight class="normal"><ref refid="namespaceserif_1_1compile__time__checks_1_1barotropic__density_1a49c3bd254d7b793129cead31e1803890" kindref="member">Plan</ref><sp/>=<sp/>EquationPlan&lt;EquationT&gt;;</highlight></codeline>
<codeline lineno="318"><highlight class="normal"></highlight></codeline>
<codeline lineno="319"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a2ce0b21e25c656b47e0495e92d737149" kindref="member">validate_volume_data</ref>(data);</highlight></codeline>
<codeline lineno="320"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref><sp/>=<sp/>data.configuration-&gt;discretization;</highlight></codeline>
<codeline lineno="321"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.residual_binding.validate_values(residual_dual);</highlight></codeline>
<codeline lineno="322"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::array&lt;::mfem::Vector,<sp/>Plan::column_count&gt;<sp/>full_columns;</highlight></codeline>
<codeline lineno="323"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::array&lt;::mfem::Vector,<sp/>Plan::column_count&gt;<sp/>element_columns;</highlight></codeline>
<codeline lineno="324"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::array&lt;utils::CompensatedSum,<sp/>Plan::column_count&gt;<sp/>scalar_sums;</highlight></codeline>
<codeline lineno="325"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">for</highlight><highlight class="normal"><sp/>(std::size_t<sp/>column<sp/>=<sp/>0;<sp/>column<sp/>&lt;<sp/>Plan::column_count;<sp/>++column)<sp/>{</highlight></codeline>
<codeline lineno="326"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>full_columns[column].SetSize(data.bindings.columns[column]-&gt;full_size());</highlight></codeline>
<codeline lineno="327"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>full_columns[column]<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="328"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="329"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref><sp/>full_displacement(<ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.displacement_binding.full_size());</highlight></codeline>
<codeline lineno="330"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref><sp/>element_displacement;</highlight></codeline>
<codeline lineno="331"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>full_displacement<sp/>=<sp/>0.0;</highlight></codeline>
<codeline lineno="332"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>row_elements<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.residual_binding.validated_elements();</highlight></codeline>
<codeline lineno="333"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>columns<sp/>=<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1aec7527f93b877c641a13bc997d00a68e" kindref="member">column_elements</ref>(data.bindings.columns);</highlight></codeline>
<codeline lineno="334"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>displacement_elements<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.displacement_binding.validated_elements();</highlight></codeline>
<codeline lineno="335"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1abbac49d7d6daa9ce9fe76342339d94fe" kindref="member">for_each_volume_linearization</ref>(data,<sp/>[&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>ContributionT&gt;(</highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>element,<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal">&amp;<sp/>geometry_derivatives)<sp/>{</highlight></codeline>
<codeline lineno="336"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1ad4054fbf0b03c680467b334bc2da63c7" kindref="member">element_jacobian_transpose&lt;EquationT, ContributionT&gt;</ref>(</highlight></codeline>
<codeline lineno="337"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>element,<sp/>geometry_derivatives,<sp/>row_elements,<sp/>residual_dual,<sp/>workspace,</highlight></codeline>
<codeline lineno="338"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>element_columns,<sp/>element_displacement);</highlight></codeline>
<codeline lineno="339"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Plan::for_each_column([&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>OperandT&gt;(OperandT,<sp/>std::size_t<sp/>column)<sp/>{</highlight></codeline>
<codeline lineno="340"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/>(element_columns[column].Size()<sp/>==<sp/>0)<sp/>{</highlight></codeline>
<codeline lineno="341"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">return</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="342"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="343"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(discretization::blocks::GlobalScalarTerm&lt;typename<sp/>OperandT::term_type&gt;)<sp/>{</highlight></codeline>
<codeline lineno="344"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>scalar_sums[column].add(element_columns[column][0]);</highlight></codeline>
<codeline lineno="345"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}<sp/></highlight><highlight class="keywordflow">else</highlight><highlight class="normal"><sp/>{</highlight></codeline>
<codeline lineno="346"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>columns[column].add_element(element.element,<sp/>element_columns[column],<sp/>full_columns[column]);</highlight></codeline>
<codeline lineno="347"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="348"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="349"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>displacement_elements.add_element(element.element,<sp/>element_displacement,<sp/>full_displacement);</highlight></codeline>
<codeline lineno="350"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="351"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a317d4e0bea2ef8780ac3747cfe62bf72" kindref="member">::mfem::Vector</ref><sp/>packed(<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1a33f731c05cee3a752100263240731095" kindref="member">volume_width</ref>(data));</highlight></codeline>
<codeline lineno="352"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>offset<sp/>=<sp/>0;</highlight></codeline>
<codeline lineno="353"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>Plan::for_each_column([&amp;]&lt;</highlight><highlight class="keyword">typename</highlight><highlight class="normal"><sp/>OperandT&gt;(OperandT,<sp/>std::size_t<sp/>column)<sp/>{</highlight></codeline>
<codeline lineno="354"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordflow">if</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">constexpr</highlight><highlight class="normal"><sp/>(discretization::blocks::GlobalScalarTerm&lt;typename<sp/>OperandT::term_type&gt;)<sp/>{</highlight></codeline>
<codeline lineno="355"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>full_columns[column][0]<sp/>=<sp/>scalar_sums[column].value();</highlight></codeline>
<codeline lineno="356"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="357"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref><sp/>=<sp/>data.bindings.columns[column]-&gt;accumulate_dual(full_columns[column]);</highlight></codeline>
<codeline lineno="358"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>data.bindings.columns[column]-&gt;validate_values(<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>);</highlight></codeline>
<codeline lineno="359"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::copy_n(<ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.GetData(),<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.Size(),<sp/>packed.GetData()<sp/>+<sp/>offset);</highlight></codeline>
<codeline lineno="360"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>offset<sp/>+=<sp/><ref refid="namespaceserif_1_1operators_1_1backend_1_1mfem_1adf1d7a29193c8b8a6cd17745686a04d8" kindref="member">values</ref>.Size();</highlight></codeline>
<codeline lineno="361"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>});</highlight></codeline>
<codeline lineno="362"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal"><sp/></highlight><highlight class="keyword">auto</highlight><highlight class="normal"><sp/>displacement<sp/>=<sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.displacement_binding.accumulate_dual(full_displacement);</highlight></codeline>
<codeline lineno="363"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="namespaceserif_1_1discretization_1_1quadrature_1a2170ba7c65dd986e68afb2cc85f2ad88a39629fd04651ccd980a12031e92a4bbf" kindref="member">discretization</ref>.displacement_binding.validate_values(displacement);</highlight></codeline>
<codeline lineno="364"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>std::copy_n(displacement.GetData(),<sp/>displacement.Size(),<sp/>packed.GetData()<sp/>+<sp/>offset);</highlight></codeline>
<codeline lineno="365"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/>result<sp/>=<sp/>packed;</highlight></codeline>
<codeline lineno="366"><highlight class="normal"><sp/><sp/><sp/><sp/>}</highlight></codeline>
<codeline lineno="367"><highlight class="normal">}<sp/></highlight><highlight class="comment">//<sp/>namespace<sp/>serif::operators::backend::mfem</highlight><highlight class="normal"></highlight></codeline>
</programlisting>
<location file="src/include/serif/backend/mfem/operators/volume_application.hpp"/>
</compounddef>
</doxygen>