Sequential Solution Strategies for the Cahn-Hilliard-Biot Model
E. Storvik, C. Riethmüller, J. Both, und F. Radu. Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2, Seite 369--378. Cham, Springer Nature Switzerland, (2025)
Zusammenfassung
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.
%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 EXC2075 PN5 PN5-13 inReview
%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/simtech},
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 = {EXC2075 PN5 PN5-13 inReview},
pages = {369--378},
publisher = {Springer Nature Switzerland},
timestamp = {2025-08-18T12:27:56.000+0200},
title = {Sequential Solution Strategies for the Cahn-Hilliard-Biot Model},
year = 2025
}
