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.

翻译：本文针对Cahn-Hilliard-Biot方程的求解策略展开研究，该方程是用于理解固相变化可变形多孔介质中流动行为的复杂数学模型。由于系统具有耦合性、非线性和非凸性特征，其求解面临重大挑战。本文探讨了多种求解算法，比较了整体式求解与分裂求解策略，重点分析了两者在计算效率与鲁棒性方面的表现。