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Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity (2111.13513v3)

Published 26 Nov 2021 in math.NA and cs.NA

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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