Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913279076466688 |
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| author | Bause, Markus Anselmann, Mathias |
| author_facet | Bause, Markus Anselmann, Mathias |
| contents | The numerical approximation of dynamic poroelasticity, modeling flow in deformable porous media, by a family of continuous space-time finite element methods is investigated. Equal order approximation in space without any further stabilization is used for the displacement and pore pressure variable. Optimal order $L^\infty(L^2)$ error estimates are proved and numerically confirmed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15696 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements Bause, Markus Anselmann, Mathias Numerical Analysis 65M15 (Primary) 65M60, 76S05 (Secondary) The numerical approximation of dynamic poroelasticity, modeling flow in deformable porous media, by a family of continuous space-time finite element methods is investigated. Equal order approximation in space without any further stabilization is used for the displacement and pore pressure variable. Optimal order $L^\infty(L^2)$ error estimates are proved and numerically confirmed. |
| title | Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements |
| topic | Numerical Analysis 65M15 (Primary) 65M60, 76S05 (Secondary) |
| url | https://arxiv.org/abs/2401.15696 |