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Dear Franco.</div>
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As Christoph already mentioned there is a dune module that covers some VEM in 2D. £D is sth i would like to work on</div>
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but currently I am not finding the time to do that. For some deatil and what currently is available have a look at</div>
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<a href="https://arxiv.org/abs/2208.08978">https://arxiv.org/abs/2208.08978</a></div>
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There is a page in our tutorial</div>
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<a href="https://www.dune-project.org/sphinx/content/sphinx/dune-fem/vemdemo_descr.html">https://www.dune-project.org/sphinx/content/sphinx/dune-fem/vemdemo_descr.html</a></div>
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which shows how to use the Vem spaces together with the available Python bindings to define the PDE and solve the problem (that uses UFL to define the model).</div>
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If you have a specific problem in mind let me know, happy to extend the code.</div>
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Regards</div>
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Andreas</div>
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<div id="divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" style="font-size:11pt" color="#000000"><b>From:</b> Dune <dune-bounces@lists.dune-project.org> on behalf of Christoph Grüninger <foss@grueninger.de><br>
<b>Sent:</b> 11 February 2025 16:52<br>
<b>To:</b> Franco Dassi <franco.dassi@unimib.it>; dune@lists.dune-project.org <dune@lists.dune-project.org><br>
<b>Subject:</b> Re: [Dune] question: Virtual Element Methods</font>
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<div class="PlainText">Hello Franco,<br>
welcome to Dune!<br>
<br>
Dune is a framework offering basic things like grid managers, linear <br>
solvers, and local functions. On top of these core modules, other <br>
modules add complete discretizations, physics and advanced methods. <br>
Technically they are not part of Dune but are extensions supported by a <br>
smaller set of people. Dune-FEM is such a discretization module and <br>
there is a paper realizing Virtual Element Methods on top of that.<br>
<br>
"A Framework for Implementing General Virtual Element Spaces"<br>
Andreas Dedner, Alice Hodson, 2024<br>
<a href="https://doi.org/10.1137/23M1573653">https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fdoi.org%2F10.1137%2F23M1573653&data=05%7C02%7CA.S.Dedner%40warwick.ac.uk%7Cb52728b3609347674b5908dd4abc9f4d%7C09bacfbd47ef446592653546f2eaf6bc%7C0%7C0%7C638748896186483369%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=3cM5MotjaQKWjnNz7cymi1n6tm6RdT8VU2webox3j4Q%3D&reserved=0</a><br>
<br>
"Virtual element methods for fourth-order problems: implementation and <br>
analysis"<br>
Alice Hodson, PhD thesis, 2022<br>
<br>
Further links to code repository:<br>
> <a href="https://dune-project.org/sphinx/content/sphinx/dune-fem/vemdemo_descr.html">
https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fdune-project.org%2Fsphinx%2Fcontent%2Fsphinx%2Fdune-fem%2Fvemdemo_descr.html&data=05%7C02%7CA.S.Dedner%40warwick.ac.uk%7Cb52728b3609347674b5908dd4abc9f4d%7C09bacfbd47ef446592653546f2eaf6bc%7C0%7C0%7C638748896186508068%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=WivDNsbk9yKzMlz0KxdJOlAC79H48DqZyfej3vc%2FFhw%3D&reserved=0</a><br>
<br>
Andreas Dedner is a core developer and also reading the mailing list. He <br>
might add to my email or be able to answer more detailed questions.<br>
<br>
Bye<br>
Christoph<br>
<br>
-- <br>
Most customers will not accept source code with compile errors in it.<br>
Dan Saks, CppCon 2016 (<a href="https://youtu.be/D7Sd8A6_fYU">https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fyoutu.be%2FD7Sd8A6_fYU&data=05%7C02%7CA.S.Dedner%40warwick.ac.uk%7Cb52728b3609347674b5908dd4abc9f4d%7C09bacfbd47ef446592653546f2eaf6bc%7C0%7C0%7C638748896186521205%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=N4MsTD%2FahxFQtZF267D3j8PBbwh1NfJARATRc5TSfOk%3D&reserved=0</a>)<br>
<br>
<br>
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