Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements
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....
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| creator | Bause, Markus Anselmann, Mathias |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2401.15696 |
| format | Article |
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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
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deformable porous media, by a family of continuous space-time finite element
methods is investigated. Equal order approximation in space without any further
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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.</abstract><doi>10.48550/arxiv.2401.15696</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Numerical Analysis Mathematics - Numerical Analysis |
| title | Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements |
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