A decoupling and linearizing discretization for weakly coupled poroelasticity with nonlinear permeability
Numerical Analysis
2021-09-30 v2 Numerical Analysis
Abstract
We analyze a semi-explicit time discretization scheme of first order for poro\-elasticity with nonlinear permeability provided that the elasticity model and the flow equation are only weakly coupled. The approach leads to a decoupling of the equations and, at the same time, linearizes the nonlinearity without the need of further inner iteration steps. Hence, the computational speed-up is twofold without a loss in the convergence rate. We prove optimal first-order error estimates by considering a related delay system and investigate the method numerically for different examples with various types of nonlinear displacement-permeability relations.
Cite
@article{arxiv.2104.10092,
title = {A decoupling and linearizing discretization for weakly coupled poroelasticity with nonlinear permeability},
author = {Robert Altmann and Roland Maier},
journal= {arXiv preprint arXiv:2104.10092},
year = {2021}
}