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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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Optimal Order FEM for Dynamic Poroelasticity: Error Analysis for Equal Order Elements

  • 会议论文

  • 发表日期：

    2025年

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  • Markus Bause,
  • Mathias Anselmann

摘要

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.