  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.
