Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915132974563328 |
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| author | Carstensen, Carsten Heuer, Norbert |
| author_facet | Carstensen, Carsten Heuer, Norbert |
| contents | We present a conforming setting for a mixed formulation of linear elasticity with symmetric stress that has normal-normal continuous components across faces of tetrahedral meshes. We provide a stress element for this formulation with 30 degrees of freedom that correspond to standard boundary conditions. The resulting scheme converges quasi-optimally and is locking free. Numerical experiments illustrate the performance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_00609 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity Carstensen, Carsten Heuer, Norbert Numerical Analysis 65N30, 74G15, 74S05 We present a conforming setting for a mixed formulation of linear elasticity with symmetric stress that has normal-normal continuous components across faces of tetrahedral meshes. We provide a stress element for this formulation with 30 degrees of freedom that correspond to standard boundary conditions. The resulting scheme converges quasi-optimally and is locking free. Numerical experiments illustrate the performance. |
| title | Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity |
| topic | Numerical Analysis 65N30, 74G15, 74S05 |
| url | https://arxiv.org/abs/2502.00609 |