Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements

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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Veröffentlicht in:arXiv.org 2024-03
Hauptverfasser: Bause, Markus, Anselmann, Mathias
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Error analysis
Finite element method
Formability
Mathematical analysis
Poroelasticity
Porous media
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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.
ISSN:2331-8422