Analysis of Mixed Finite Elements for Elasticity. II. Weak stress symmetry

06/29/2022

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by   Philip L. Lederer, et al.

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We consider mixed finite element methods for linear elasticity where the symmetry of the stress tensor is weakly enforced. Both an a priori and a posteriori error analysis are given for several known families of methods that are uniformly valid in the incompressible limit. Based on the Prager-Singe hypercircle principle, an a posteriori estimate with explicitly known constants is derived. The results are verified by numerical examples.