Analysis of weakly symmetric mixed finite elements for elasticity

Philip L. Lederer; Rolf Stenberg

doi:10.1090/mcom/3865

Analysis of weakly symmetric mixed finite elements for elasticity

Philip L. Lederer, Rolf Stenberg

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

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. A posteriori estimates are derived for both the compressible and incompressible cases. The results are verified by numerical examples.

Original language	English
Pages (from-to)	523-550
Number of pages	28
Journal	Mathematics of computation
Volume	93
Issue number	346
Early online date	14 Jun 2023
DOIs	https://doi.org/10.1090/mcom/3865
Publication status	Published - Mar 2024

Keywords

2024 OA procedure
74B05
74G15
74S05
65N30

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10.1090/mcom/3865

ArticleFinal published version, 1.7 MBLicence: Taverne

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AB - 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. A posteriori estimates are derived for both the compressible and incompressible cases. The results are verified by numerical examples.

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KW - 65N30

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Analysis of weakly symmetric mixed finite elements for elasticity

Abstract

Keywords

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