Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity
Numerical Analysis
2022-08-24 v3 Numerical Analysis
Abstract
We consider mixed finite element methods with exact symmetric stress tensors. We derive a new quasi-optimal a priori error estimate uniformly valid with respect to the compressibility. For the a posteriori error analysis we consider the Prager-Synge hypercircle principle and introduce a new estimate uniformly valid in the incompressible limit. All estimates are validated by numerical examples.
Keywords
Cite
@article{arxiv.2111.13513,
title = {Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity},
author = {Philip L. Lederer and Rolf Stenberg},
journal= {arXiv preprint arXiv:2111.13513},
year = {2022}
}