Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.08142 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908699774156800 |
|---|---|
| author | de Castro, Amy Lee, Hyesuk |
| author_facet | de Castro, Amy Lee, Hyesuk |
| contents | We introduce a novel monolithic formulation that employs Lagrange multipliers (LMs) to couple a fluid flow governed by the time-dependent Stokes equations with a poroelastic structure described by the Biot equations. The formulation is developed in detail, and we establish the well-posedness of both the semi-discrete and fully discrete saddle point problems. We further prove the stability of the fully discrete system. This saddle point formulation, which utilizes three LMs, is designed to enable a partitioned approach that completely decouples the Stokes and Biot subdomains, and this approach will be explored in a subsequent work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08142 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Well-posedness of a novel Lagrange multiplier formulation for fluid-poroelastic interaction de Castro, Amy Lee, Hyesuk Numerical Analysis We introduce a novel monolithic formulation that employs Lagrange multipliers (LMs) to couple a fluid flow governed by the time-dependent Stokes equations with a poroelastic structure described by the Biot equations. The formulation is developed in detail, and we establish the well-posedness of both the semi-discrete and fully discrete saddle point problems. We further prove the stability of the fully discrete system. This saddle point formulation, which utilizes three LMs, is designed to enable a partitioned approach that completely decouples the Stokes and Biot subdomains, and this approach will be explored in a subsequent work. |
| title | Well-posedness of a novel Lagrange multiplier formulation for fluid-poroelastic interaction |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2512.08142 |