Sequential solution strategies for the Cahn-Hilliard-Biot model
Numerical Analysis
2024-01-25 v1 Numerical Analysis
Abstract
This paper presents a study of solution strategies for the Cahn-Hilliard-Biot equations, a complex mathematical model for understanding flow in deformable porous media with changing solid phases. Solving the Cahn-Hilliard-Biot system poses significant challenges due to its coupled, nonlinear and non-convex nature. We explore various solution algorithms, comparing monolithic and splitting strategies, focusing on both their computational efficiency and robustness.
Keywords
Cite
@article{arxiv.2401.13358,
title = {Sequential solution strategies for the Cahn-Hilliard-Biot model},
author = {Erlend Storvik and Cedric Riethmüller and Jakub Wiktor Both and Florin Adrian Radu},
journal= {arXiv preprint arXiv:2401.13358},
year = {2024}
}