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Note for now much of the docs is LLM written. This was done to save time and focus on code development. The docs have been LOOSLEY reviewed. However, the code itself has been either fully written by hand or fully reviewed. Therefore, the docs should at the moment be seen as a loose resource rather than authoratiative (and this is on top of the general ability for docs to drift)
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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>
</table>
<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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