[Dune] question: Virtual Element Methods

[Franco Dassi]

Thank you all for the answers!

Il giorno mer 12 feb 2025 alle ore 09:05 Dedner, Andreas <
A.S.Dedner at warwick.ac.uk> ha scritto:

> Dear Franco.
> As Christoph already mentioned there is a dune module that covers some VEM
> in 2D. £D is sth i would like to work on
> but currently I am not finding the time to do that. For some deatil and
> what currently is available have a look at
> https://arxiv.org/abs/2208.08978
> There is a page in our tutorial
>
> https://www.dune-project.org/sphinx/content/sphinx/dune-fem/vemdemo_descr.html
> 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).
> If you have a specific problem in mind let me know, happy to extend the
> code.
> Regards
> Andreas
> ------------------------------
> *From:* Dune <dune-bounces at lists.dune-project.org> on behalf of Christoph
> Grüninger <foss at grueninger.de>
> *Sent:* 11 February 2025 16:52
> *To:* Franco Dassi <franco.dassi at unimib.it>; dune at lists.dune-project.org <
> dune at lists.dune-project.org>
> *Subject:* Re: [Dune] question: Virtual Element Methods
>
> Hello Franco,
> welcome to Dune!
>
> Dune is a framework offering basic things like grid managers, linear
> solvers, and local functions. On top of these core modules, other
> modules add complete discretizations, physics and advanced methods.
> Technically they are not part of Dune but are extensions supported by a
> smaller set of people. Dune-FEM is such a discretization module and
> there is a paper realizing Virtual Element Methods on top of that.
>
> "A Framework for Implementing General Virtual Element Spaces"
> Andreas Dedner, Alice Hodson, 2024
>
> 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
> <https://doi.org/10.1137/23M1573653>
>
> "Virtual element methods for fourth-order problems: implementation and
> analysis"
> Alice Hodson, PhD thesis, 2022
>
> Further links to code repository:
> >
> 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
> <https://dune-project.org/sphinx/content/sphinx/dune-fem/vemdemo_descr.html>
>
> Andreas Dedner is a core developer and also reading the mailing list. He
> might add to my email or be able to answer more detailed questions.
>
> Bye
> Christoph
>
> --
> Most customers will not accept source code with compile errors in it.
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>
>
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-- 
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Ph.D. F. Dassi
Università di Milano-Bicocca
Dip. Matematica e Applicazioni, Via Cozzi 55, Milano
Url: https://sites.google.com/view/fracohome/home
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