[Dune] question: Virtual Element Methods

Christoph GrĂ¼ninger foss at grueninger.de
Tue Feb 11 17:52:43 CET 2025


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://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://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.
                  Dan Saks, CppCon 2016 (https://youtu.be/D7Sd8A6_fYU)




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