Semi-explicit integration of second order for weakly coupled poroelasticity
Numerical Analysis
2023-11-08 v2 Numerical Analysis
Abstract
We introduce a semi-explicit time-stepping scheme of second order for linear poroelasticity satisfying a weak coupling condition. Here, semi-explicit means that the system, which needs to be solved in each step, decouples and hence improves the computational efficiency. The construction and the convergence proof are based on the connection to a differential equation with two time delays, namely one and two times the step size. Numerical experiments confirm the theoretical results and indicate the applicability to higher-order schemes.
Keywords
Cite
@article{arxiv.2203.16664,
title = {Semi-explicit integration of second order for weakly coupled poroelasticity},
author = {R. Altmann and R. Maier and B. Unger},
journal= {arXiv preprint arXiv:2203.16664},
year = {2023}
}