Abstract
We consider hyperelastic problems and their numerical solution using a conforming finite element discretization and iterative linearization algorithms.
For these problems, we present equilibrated, weakly symmetric,
Funding source: Agence Nationale de la Recherche
Award Identifier / Grant number: 2014-2-006
Funding source: Bureau de Recherches Géologiques et Minières
Award Identifier / Grant number: RP18DRP019
Funding statement: The work of Michele Botti was partially supported by Labex NUMEV (ANR-10-LABX-20) ref. 2014-2-006 and by the Bureau de Recherches Géologiques et Minières (Project RP18DRP019).
Acknowledgements
The authors would like to thank Wietse Boon for interesting discussions about the Arnold–Falk–Winther spaces during the IHP quarter on Numerical Methods for PDEs in Paris. The authors also thank Kyrylo Kazymzrenko for providing his expertise on solid mechanics and for his help for designing the numerical test cases.
References
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