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Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements (2401.15696v2)
Published 28 Jan 2024 in math.NA and cs.NA
Abstract: 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 $L\infty(L2)$ error estimates are proved and numerically confirmed.
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