Iterative time integration for poroelasticity with nonlinear permeability
- Abstract In this paper, we consider iterative time stepping schemes for poroelasticity including a nonlinearity in the flow equation. For this, we extend recently introduced schemes, which converge with first‐ and second‐order in the linear case, to the nonlinear setting. In each step of the iteration process, the elastic and flow equations are decoupled, which automatically linearizes the system. Numerical examples prove the efficiency of the iterative schemes.
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| Author: | Robert AltmannORCiDGND, Matthias DeimlORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1180908 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/118090 |
| ISSN: | 1617-7061OPAC |
| Parent Title (English): | PAMM - Proceedings in Applied Mathematics and Mechanics |
| Publisher: | Wiley |
| Place of publication: | Weinheim |
| Type: | Article |
| Language: | English |
| Date of first Publication: | 2024/12/17 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2025/01/19 |
| Volume: | 24 |
| Issue: | 4 |
| First Page: | e202400011 |
| DOI: | https://doi.org/10.1002/pamm.202400011 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Numerische Mathematik | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY-NC-ND 4.0: Creative Commons: Namensnennung - Nicht kommerziell - Keine Bearbeitung |
