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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| Sprache: | eng |
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| Zusammenfassung: | 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. |
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| DOI: | 10.48550/arxiv.2401.15696 |