%0 Conference Paper %1 10.1007/978-3-031-86169-7_38 %A Storvik, Erlend %A Riethmüller, Cedric %A Both, Jakub W. %A Radu, Florin Adrian %B Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2 %C Cham %D 2025 %E Sequeira, Adélia %E Silvestre, Ana %E Valtchev, Svilen S. %E Janela, João %I Springer Nature Switzerland %K %P 369--378 %T Sequential Solution Strategies for the Cahn-Hilliard-Biot Model %X 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. %@ 978-3-031-86169-7

@inproceedings{10.1007/978-3-031-86169-7_38, 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.}, added-at = {2025-05-07T15:15:38.000+0200}, address = {Cham}, author = {Storvik, Erlend and Riethm{\"u}ller, Cedric and Both, Jakub W. and Radu, Florin Adrian}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2cbd6e7943f4697eef738af1af561d104/criethmuller}, booktitle = {Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2}, editor = {Sequeira, Ad{\'e}lia and Silvestre, Ana and Valtchev, Svilen S. and Janela, Jo{\~a}o}, interhash = {e10a7ad0d13e3b16eda851cb4df17b41}, intrahash = {cbd6e7943f4697eef738af1af561d104}, isbn = {978-3-031-86169-7}, keywords = {}, pages = {369--378}, publisher = {Springer Nature Switzerland}, timestamp = {2025-05-07T13:15:38.000+0200}, title = {Sequential Solution Strategies for the Cahn-Hilliard-Biot Model}, year = 2025 }