Sequential solution strategies for the Cahn-Hilliard-Biot model
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914650896990208 |
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| author | Storvik, Erlend Riethmüller, Cedric Both, Jakub Wiktor Radu, Florin Adrian |
| author_facet | Storvik, Erlend Riethmüller, Cedric Both, Jakub Wiktor Radu, Florin Adrian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13358 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sequential solution strategies for the Cahn-Hilliard-Biot model Storvik, Erlend Riethmüller, Cedric Both, Jakub Wiktor Radu, Florin Adrian Numerical Analysis 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. |
| title | Sequential solution strategies for the Cahn-Hilliard-Biot model |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2401.13358 |