Unconditionally stable second order convergent partitioned methods for multiple-network poroelasticity
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2019
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913619408584704 |
|---|---|
| author | Lee, Jeonghun J. |
| author_facet | Lee, Jeonghun J. |
| contents | In this paper, we consider partitioned numerical methods for quasi-static multiple-network poroelasticity (MPET) equations, generalizations of the Biot model in poroelasticity for multiple pore networks. Two partitioned numerical methods are presented for the equations which split time discretization into solving two subequations, a Lame equation and a system of heat equations, alternatively. In contrast to the iterative coupling methods which require multiple iterations at each time step, our numerical methods solve these smaller equations only once at each time step. We prove their unconditional stability and high order convergence in time with a novel error analysis. A number of numerical results are presented to illustrate good performances of these partitioned methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_06078 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Unconditionally stable second order convergent partitioned methods for multiple-network poroelasticity Lee, Jeonghun J. Numerical Analysis 65M12, 65M15, 65M60 In this paper, we consider partitioned numerical methods for quasi-static multiple-network poroelasticity (MPET) equations, generalizations of the Biot model in poroelasticity for multiple pore networks. Two partitioned numerical methods are presented for the equations which split time discretization into solving two subequations, a Lame equation and a system of heat equations, alternatively. In contrast to the iterative coupling methods which require multiple iterations at each time step, our numerical methods solve these smaller equations only once at each time step. We prove their unconditional stability and high order convergence in time with a novel error analysis. A number of numerical results are presented to illustrate good performances of these partitioned methods. |
| title | Unconditionally stable second order convergent partitioned methods for multiple-network poroelasticity |
| topic | Numerical Analysis 65M12, 65M15, 65M60 |
| url | https://arxiv.org/abs/1901.06078 |