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<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Hello there,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">I have a question regarding the visualization of high-order FEM solutions. I would like to use this feature for visualizing highly oscillatory solutions arising from high-order p-FEM solutions (for instance used in frequency
domain electromagnetics and acoustics)? There, by contrast to high-order DG, the difficulty I see is that each element has a unique edge/face orientation, which results pretty much in a different basis definition for each element.
<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Considering the tetrahedral element for instance, there are usually 6 different possible orientations per face, which yields a total of 1296 different possible basis definitions. In my current understanding, this would
require defining 6^4=1296 different “$InterpolationScheme” entities in the input file for gmsh (for the edges shape functions, a workaround can be found by simply multiplying the shape function contribution by +1 or -1 depending on the local edge orientation).
<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Before I start the actual implementation to make some tests, I would like to know whether<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoListParagraph" style="text-indent:-18.0pt;mso-list:l0 level1 lfo1"><![if !supportLists]><span lang="EN-US"><span style="mso-list:Ignore">1.<span style="font:7.0pt "Times New Roman"">
</span></span></span><![endif]><span lang="EN-US">Has anyone tried the high-order visualization feature for viewing 3D p-FEM solutions (integrated Legendre basis)?<o:p></o:p></span></p>
<p class="MsoListParagraph" style="text-indent:-18.0pt;mso-list:l0 level1 lfo1"><![if !supportLists]><span lang="EN-US"><span style="mso-list:Ignore">2.<span style="font:7.0pt "Times New Roman"">
</span></span></span><![endif]><span lang="EN-US">Can the current implementation cope with a very large number of interpolation schemes (approx. one per element)? Would it still perform correctly on large models?<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Thanks for your help!<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Kind regards,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Hadrien <o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"> <o:p></o:p></span></p>
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