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

@article{Lederer2022AnalysisOM,
  title={Analysis of Mixed Finite Elements for Elasticity. II. Weak stress symmetry},
  author={Philip L. Lederer and Rolf Stenberg},
  journal={ArXiv},
  year={2022},
  volume={abs/2206.14610}
}
. 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. 

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