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

Lederer, Philip; Stenberg, Rolf

doi:10.1090/mcom/3784

Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity
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by Philip L. Lederer and Rolf Stenberg HTML | PDF

Math. Comp. 92 (2023), 583-605 Request permission

Abstract:

We consider mixed finite element methods for linear elasticity for which the symmetry of the stress tensor is exactly satisfied. 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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