<div dir="ltr">Thank you all for the answers!</div><br><div class="gmail_quote gmail_quote_container"><div dir="ltr" class="gmail_attr">Il giorno mer 12 feb 2025 alle ore 09:05 Dedner, Andreas <<a href="mailto:A.S.Dedner@warwick.ac.uk">A.S.Dedner@warwick.ac.uk</a>> ha scritto:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div class="msg-2378344354176471048">
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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" target="_blank">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" target="_blank">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="m_-4350719593944576348divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" style="font-size:11pt" color="#000000"><b>From:</b> Dune <<a href="mailto:dune-bounces@lists.dune-project.org" target="_blank">dune-bounces@lists.dune-project.org</a>> on behalf of Christoph Grüninger <<a href="mailto:foss@grueninger.de" target="_blank">foss@grueninger.de</a>><br>
<b>Sent:</b> 11 February 2025 16:52<br>
<b>To:</b> Franco Dassi <<a href="mailto:franco.dassi@unimib.it" target="_blank">franco.dassi@unimib.it</a>>; <a href="mailto:dune@lists.dune-project.org" target="_blank">dune@lists.dune-project.org</a> <<a href="mailto:dune@lists.dune-project.org" target="_blank">dune@lists.dune-project.org</a>><br>
<b>Subject:</b> Re: [Dune] question: Virtual Element Methods</font>
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<div>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" target="_blank">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" target="_blank">
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" target="_blank">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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</div></blockquote></div><div><br clear="all"></div><div><br></div><span class="gmail_signature_prefix">-- </span><br><div dir="ltr" class="gmail_signature"><div dir="ltr"><div style="color:rgb(34,34,34);background-color:transparent;font-family:arial,sans-serif;min-height:12.8px"><span style="font-family:Arial,Helvetica,sans-serif">---------------------------------------------------------------------------</span><br></div><span style="color:rgb(34,34,34);font-stretch:normal;line-height:normal;font-family:arial,sans-serif;background-color:transparent"></span><div style="color:rgb(34,34,34);background-color:transparent;font-family:arial,sans-serif;min-height:12.8px"><div style="line-height:normal;border:0px rgb(34,34,34);width:570px;background-image:none;overflow:visible;background-repeat:repeat;min-height:0px;outline-width:0px;font-stretch:100%;background-color:transparent">Ph.D. F. Dassi</div><div style="line-height:normal;border:0px rgb(34,34,34);width:570px;background-image:none;overflow:visible;background-repeat:repeat;min-height:0px;outline-width:0px;font-stretch:100%;background-color:transparent">Università di Milano-Bicocca</div></div><span style="color:rgb(34,34,34);font-stretch:normal;line-height:normal;font-family:arial,sans-serif;background-color:transparent"></span><div style="color:rgb(34,34,34);background-color:transparent;font-family:arial,sans-serif;min-height:12.8px"><div style="line-height:normal;border:0px rgb(34,34,34);width:570px;background-image:none;overflow:visible;background-repeat:repeat;min-height:0px;outline-width:0px;font-stretch:100%;background-color:transparent">Dip. Matematica e Applicazioni, Via Cozzi 55, Milano</div></div><span style="color:rgb(34,34,34);font-stretch:normal;line-height:normal;font-family:arial,sans-serif;background-color:transparent"></span><div style="color:rgb(34,34,34);background-color:transparent;font-family:arial,sans-serif;min-height:12.8px">Url: <a href="https://sites.google.com/view/fracohome/home" target="_blank">https://sites.google.com/view/fracohome/home</a></div><span style="color:rgb(34,34,34);font-stretch:normal;line-height:19.99px;background:none;border:0px rgb(34,34,34);width:auto;overflow:visible;min-height:0px;outline-width:0px">---------------------------------------------------------------------------</span><br></div></div>