Robust residual-based a posteriori Arnold-Winther mixed finite element analysis in elasticity
This paper presents a residual-based a posteriori error estimator for the Arnold-Winther mixed finite element that utilises a post-processing for the skew-symmetric part of the strain. Numerical experiments verify the proven reliability and efficiency for suitable approximation of the skew-symmetric...
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| Main Authors: | , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
2016
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| In: |
Computer methods in applied mechanics and engineering
Year: 2015, Volume: 300, Pages: 245-264 |
| ISSN: | 1879-2138 |
| DOI: | 10.1016/j.cma.2015.10.001 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.cma.2015.10.001 Verlag, lizenzpflichtig, Volltext: http://www.sciencedirect.com/science/article/pii/S0045782515003205 
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| Author Notes: | Carsten Carstensen, Joscha Gedicke |
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| 520 | |a This paper presents a residual-based a posteriori error estimator for the Arnold-Winther mixed finite element that utilises a post-processing for the skew-symmetric part of the strain. Numerical experiments verify the proven reliability and efficiency for suitable approximation of the skew-symmetric deformation gradient. Numerical evidence supports that the L2-stress error estimator is robust in the Poisson ratio and allows stable error control even in the incompressible limit. | ||
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| 650 | 4 | |a Robustness | |
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