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  <div class="headertitle"><div class="title">boundary_trace.hpp File Reference</div></div>
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<p>File containing the definition of the restricted dof space for a scalar boundary trace. Note in FEM a trace is a restriction on a function to the boundary of a domain. Therefore, This file contains the definitions for getting the DOFs at the boundary of a scalar field.  
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;memory&gt;</code><br />
<code>#include &lt;utility&gt;</code><br />
<code>#include &quot;mfem/linalg/sparsemat.hpp&quot;</code><br />
<code>#include &quot;<a class="el" href="dof__selection_8hpp.html">serif/backend/mfem/discretization/dof_selection.hpp</a>&quot;</code><br />
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_scalar_boundary_trace.html">serif::discretization::backend::mfem::ScalarBoundaryTrace</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">An immutable scalar interpolation operator from supported coefficients to selected residual nodes.  <a href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_scalar_boundary_trace.html#details">More...</a><br /></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceserif.html">serif</a></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1discretization.html">serif::discretization</a></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1discretization_1_1backend.html">serif::discretization::backend</a></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1discretization_1_1backend_1_1mfem.html">serif::discretization::backend::mfem</a></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1discretization_1_1backend_1_1mfem_1_1detail.html">serif::discretization::backend::mfem::detail</a></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">concept &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="conceptserif_1_1discretization_1_1backend_1_1mfem_1_1_boundary_trace_term.html">serif::discretization::backend::mfem::BoundaryTraceTerm</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Concept Limiting the input term to either a global scalar term or a spatial term of rank 0 in the H1 family. Outside of H1, the trace is a vector (e.g. the normal trace for a H(div) field or the tangential trace for a H(curl) field). Further, for higher rank H1 fields the trace is a tensor. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:ac0719d69343bbf19f9c3d6273c69736f" id="r_ac0719d69343bbf19f9c3d6273c69736f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_scalar_boundary_trace.html">ScalarBoundaryTrace</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1discretization_1_1backend_1_1mfem_1_1detail.html#ac0719d69343bbf19f9c3d6273c69736f">serif::discretization::backend::mfem::detail::build_boundary_trace</a> (std::shared_ptr&lt; const <a class="el" href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_dof_selection.html">DofSelection</a> &gt; rows, const <a class="el" href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_dof_map.html">DofMap</a> &amp;input, const ::mfem::FiniteElementSpace *input_space)</td></tr>
<tr class="memdesc:ac0719d69343bbf19f9c3d6273c69736f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct one interpolation operator in the selected residual-node ordering.  <br /></td></tr>
<tr class="separator:ac0719d69343bbf19f9c3d6273c69736f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aaf9041e682100fb2b68269bc58564a77" id="r_aaf9041e682100fb2b68269bc58564a77"><td class="memTemplParams" colspan="2">template&lt;BoundaryTraceTerm TermT, domain::schema::IsSchema SchemaT&gt; </td></tr>
<tr class="memitem:aaf9041e682100fb2b68269bc58564a77"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_scalar_boundary_trace.html">ScalarBoundaryTrace</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1discretization_1_1backend_1_1mfem.html#aaf9041e682100fb2b68269bc58564a77">serif::discretization::backend::mfem::make_boundary_trace</a> (std::shared_ptr&lt; const <a class="el" href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_dof_selection.html">DofSelection</a> &gt; rows, const <a class="el" href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_term_binding.html">TermBinding</a>&lt; TermT, SchemaT &gt; &amp;input)</td></tr>
<tr class="memdesc:aaf9041e682100fb2b68269bc58564a77"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sample a continuous scalar field at the selected nodal H1 residual points.  <br /></td></tr>
<tr class="separator:aaf9041e682100fb2b68269bc58564a77"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab4a98b89b1efb0ebdeb6d1fc2beda6ae" id="r_ab4a98b89b1efb0ebdeb6d1fc2beda6ae"><td class="memTemplParams" colspan="2">template&lt;BoundaryTraceTerm TermT, domain::schema::IsSchema SchemaT&gt; </td></tr>
<tr class="memitem:ab4a98b89b1efb0ebdeb6d1fc2beda6ae"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_scalar_boundary_trace.html">ScalarBoundaryTrace</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1discretization_1_1backend_1_1mfem.html#ab4a98b89b1efb0ebdeb6d1fc2beda6ae">serif::discretization::backend::mfem::make_boundary_trace</a> (std::shared_ptr&lt; const <a class="el" href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_dof_selection.html">DofSelection</a> &gt;, <a class="el" href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_term_binding.html">TermBinding</a>&lt; TermT, SchemaT &gt; &amp;&amp;)=delete</td></tr>
<tr class="memdesc:ab4a98b89b1efb0ebdeb6d1fc2beda6ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">A trace borrows its input binding, so temporaries cannot supply its coefficient ordering.  <br /></td></tr>
<tr class="separator:ab4a98b89b1efb0ebdeb6d1fc2beda6ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a01137a1155cba1fb16ed3478b63f133e" id="r_a01137a1155cba1fb16ed3478b63f133e"><td class="memTemplParams" colspan="2">template&lt;BoundaryTraceTerm TermT, domain::schema::IsSchema SchemaT&gt; </td></tr>
<tr class="memitem:a01137a1155cba1fb16ed3478b63f133e"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_scalar_boundary_trace.html">ScalarBoundaryTrace</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1discretization_1_1backend_1_1mfem.html#a01137a1155cba1fb16ed3478b63f133e">serif::discretization::backend::mfem::make_boundary_trace</a> (std::shared_ptr&lt; const <a class="el" href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_dof_selection.html">DofSelection</a> &gt;, const <a class="el" href="classserif_1_1discretization_1_1backend_1_1mfem_1_1_term_binding.html">TermBinding</a>&lt; TermT, SchemaT &gt; &amp;&amp;)=delete</td></tr>
<tr class="memdesc:a01137a1155cba1fb16ed3478b63f133e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Const temporary bindings have the same lifetime restriction.  <br /></td></tr>
<tr class="separator:a01137a1155cba1fb16ed3478b63f133e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>File containing the definition of the restricted dof space for a scalar boundary trace. Note in FEM a trace is a restriction on a function to the boundary of a domain. Therefore, This file contains the definitions for getting the DOFs at the boundary of a scalar field. </p>
<dl class="section author"><dt>Author</dt><dd>Emily M. Boudreaux </dd></dl>
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