Work

Iterative time integration for poroelasticity with nonlinear permeability

Year: 2024

Type: article

Abstract: In this paper, we consider iterative time stepping schemes for poroelasticity including a nonlinearity in the flow equation. For this, we extend recently introduced schemes, which converge with first‐ and second‐order in the linear case, to the nonlinear setting. In each step of the iteration process, the elastic and flow equations are decoupled, which automatically linearizes the system. Numerical examples prove the efficiency of the iterative schemes.

Source: PAMM

DOI: 10.1002/pamm.202400011

Authors: Robert Altmann, Matthias Deiml

Institutions: Otto-von-Guericke-Universität Magdeburg, University of Augsburg

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Deutsche Forschungsgemeinschaft