A second-order iterative time integration scheme for linear poroelasticity
Numerical Analysis
2025-08-20 v1 Numerical Analysis
Abstract
We propose a novel time stepping method for linear poroelasticity by extending a recent iterative decoupling approach to the second-order case. This results in a two-step scheme with an inner iteration and a relaxation step. We prove second-order convergence for a prescribed number of inner iteration steps, only depending on the coupling strength of the elastic and the flow equation. The efficiency of the scheme is illustrated by a number of numerical experiments, including a simulation of three-dimensional brain tissue.
Cite
@article{arxiv.2403.12699,
title = {A second-order iterative time integration scheme for linear poroelasticity},
author = {R. Altmann and M. Deiml},
journal= {arXiv preprint arXiv:2403.12699},
year = {2025}
}