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arXiv · 2401.13358

Sequential solution strategies for the Cahn-Hilliard-Biot model

Erlend Storvik·Cedric Riethmüller·Jakub Wiktor Both·Florin Adrian Radu
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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.

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Erlend Storvik, Cedric Riethmüller, Jakub Wiktor Both, Florin Adrian Radu. 2024-01-24. Sequential solution strategies for the Cahn-Hilliard-Biot model. https://arxiv.org/abs/2401.13358

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