Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements
Numerical Analysis
2024-03-26 v2 Numerical Analysis
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 error estimates are proved and numerically confirmed.
Cite
@article{arxiv.2401.15696,
title = {Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements},
author = {Markus Bause and Mathias Anselmann},
journal= {arXiv preprint arXiv:2401.15696},
year = {2024}
}