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arXiv · 2111.13513

Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity

Philip L. Lederer·Rolf Stenberg
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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.

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Philip L. Lederer, Rolf Stenberg. 2022-08-23. Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity. https://arxiv.org/abs/2111.13513

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