better doxygen generation

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docs/html/_b_s_s_n_c_hristoffel_tilde_8hpp.html

@@ -142,13 +142,20 @@
 <tr class="heading"><td colspan="2"><h2 id="header-func-members" class="groupheader"><a id="func-members" name="func-members"></a>
 Functions</h2></td></tr>
 <tr class="memitem:a551a841476db3f7665a53043c46349c2" id="r_a551a841476db3f7665a53043c46349c2"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
-<tr class="memitem:a551a841476db3f7665a53043c46349c2 template"><td class="memItemLeft">void&#160;</td><td class="memItemRight"><a class="el" href="namespacetensorium___r_g_1_1bssn.html#a551a841476db3f7665a53043c46349c2">tensorium_RG::bssn::compute_tildeGamma_contracted</a> (BSSNGridSoA&lt; T &gt; &amp;G)</td></tr>
+<tr class="memitem:a551a841476db3f7665a53043c46349c2 template"><td class="memItemLeft">void&#160;</td><td class="memItemRight"><a class="el" href="namespacetensorium___r_g_1_1bssn.html#a551a841476db3f7665a53043c46349c2">tensorium_RG::bssn::compute_tildeGamma_contracted</a> (<a class="el" href="classtensorium___r_g_1_1_b_s_s_n_grid_so_a.html">BSSNGridSoA</a>&lt; T &gt; &amp;G)</td></tr>
 <tr class="memdesc:a551a841476db3f7665a53043c46349c2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Refresh the evolved \(\tilde{\Gamma}^i\) from the metric inverse divergence.  <br /></td></tr>
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+<tr class="memitem:ac9153162b0e444ecc58bb99e8fe08dbd template"><td class="memItemLeft">void&#160;</td><td class="memItemRight"><a class="el" href="namespacetensorium___r_g_1_1bssn.html#ac9153162b0e444ecc58bb99e8fe08dbd">tensorium_RG::bssn::compute_tildeGamma_full</a> (<a class="el" href="classtensorium___r_g_1_1_b_s_s_n_grid_so_a.html">BSSNGridSoA</a>&lt; T &gt; &amp;G, <a class="el" href="structtensorium___r_g_1_1_field3_d.html">Field3D</a>&lt; T &gt; *Gamma27)</td></tr>
+<tr class="memdesc:ac9153162b0e444ecc58bb99e8fe08dbd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute the full \(\tilde{\Gamma}^i_{\ jk}\) tensor at every interior grid point.  <br /></td></tr>
 </table>
 <a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
 <div class="textblock"><p>Builders for the Christoffel symbols \(\tilde{\Gamma}^i_{\ jk}\) and their contraction. </p>
-<p>Both helpers restrict loops to interior points so that the 4th-order derivative operators have valid data. <span class="tt">compute_tildeGamma_full</span> implements the textbook formula  \(\tilde{\Gamma}^i_{\ jk} = \tfrac{1}{2}\tilde{\gamma}^{i\ell}(\partial_j\tilde{\gamma}_{\ell k} +
-\partial_k\tilde{\gamma}_{\ell j} - \partial_\ell \tilde{\gamma}_{jk})\) and stores the result in the 27-component cache (flattened as <span class="tt">[i][j][k]</span>). <span class="tt">compute_tildeGamma_contracted</span> recomputes the evolved \(\tilde{\Gamma}^i\) from the metric divergence to enforce the algebraic definition after projection steps. </p>
+<p>Both helpers restrict loops to interior points so that the 4th-order derivative operators have valid data. <span class="tt">compute_tildeGamma_full</span> implements the textbook formula    </p><p class="formulaDsp">
+\[\tilde{\Gamma}^i_{\ jk} = \tfrac{1}{2}\tilde{\gamma}^{i\ell}(\partial_j\tilde{\gamma}_{\ell k} +
+\partial_k\tilde{\gamma}_{\ell j} - \partial_\ell \tilde{\gamma}_{jk})
+\]
+</p>
+<p> and stores the result in the 27-component cache (flattened as <span class="tt">[i][j][k]</span>). <span class="tt">compute_tildeGamma_contracted</span> recomputes the evolved \(\tilde{\Gamma}^i\) from the metric divergence to enforce the algebraic definition after projection steps. </p>
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