Towards a unified analysis of mixed methods for elasticity with weakly symmetric stress
Numerical Analysis
2015-10-12 v4
Abstract
We propose a framework for unified analysis of mixed methods for elasticity with weakly symmetric stress. Based on a commuting diagram in the weakly symmetric elasticity complex and extending a previous stability result, stable mixed methods are obtained by combining Stokes stable and elasticity stable finite elements. We show that the framework can be used to analyze most existing mixed methods for the elasticity problem with elementary techniques. We also show that some new stable mixed finite elements are obtained.
Keywords
Cite
@article{arxiv.1403.7039,
title = {Towards a unified analysis of mixed methods for elasticity with weakly symmetric stress},
author = {Jeonghun J. Lee},
journal= {arXiv preprint arXiv:1403.7039},
year = {2015}
}
Comments
14 pages, typos are corrected, accepted in Adv. Comp. Math