Analysis of Weakly Symmetric Mixed Finite Elements for Elasticity
Numerical Analysis
2023-02-01 v2 Numerical Analysis
Abstract
We consider mixed finite element methods for linear elasticity where the symmetry of the stress tensor is weakly enforced. Both an a priori and a posteriori error analysis are given for several known families of methods that are uniformly valid in the incompressible limit. A posteriori estimates are derived for both the compressible and incompressible cases. The results are verified by numerical examples.
Keywords
Cite
@article{arxiv.2206.14610,
title = {Analysis of Weakly Symmetric Mixed Finite Elements for Elasticity},
author = {Philip L. Lederer and Rolf Stenberg},
journal= {arXiv preprint arXiv:2206.14610},
year = {2023}
}