A second-order iterative time integration scheme for linear poroelasticity
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911110564675584 |
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| author | Altmann, R. Deiml, M. |
| author_facet | Altmann, R. Deiml, M. |
| contents | We propose a novel time stepping method for linear poroelasticity by extending a recent iterative decoupling approach to the second-order case. This results in a two-step scheme with an inner iteration and a relaxation step. We prove second-order convergence for a prescribed number of inner iteration steps, only depending on the coupling strength of the elastic and the flow equation. The efficiency of the scheme is illustrated by a number of numerical experiments, including a simulation of three-dimensional brain tissue. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12699 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A second-order iterative time integration scheme for linear poroelasticity Altmann, R. Deiml, M. Numerical Analysis We propose a novel time stepping method for linear poroelasticity by extending a recent iterative decoupling approach to the second-order case. This results in a two-step scheme with an inner iteration and a relaxation step. We prove second-order convergence for a prescribed number of inner iteration steps, only depending on the coupling strength of the elastic and the flow equation. The efficiency of the scheme is illustrated by a number of numerical experiments, including a simulation of three-dimensional brain tissue. |
| title | A second-order iterative time integration scheme for linear poroelasticity |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2403.12699 |