Analysis of Mixed Finite Elements for Elasticity. I. Exact stress symmetry

11/26/2021

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by   Philip L. Lederer, et al.

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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.