An $hp$ Error Analysis of HDG for Linear Fluid-Structure Interaction
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910417223155712 |
|---|---|
| author | Meddahi, Salim |
| author_facet | Meddahi, Salim |
| contents | A variational formulation based on velocity and stress is developed for linear fluid-structure interaction (FSI) problems. The well-posedness and energy stability of this formulation are established. To discretize the problem, a hybridizable discontinuous Galerkin method is employed. An $hp$-convergence analysis is performed for the resulting semi-discrete scheme. The temporal discretization is achieved via the Crank-Nicolson method, and the convergence properties of the fully discrete scheme are examined. Numerical experiments validate the theoretical results, confirming the effectiveness and accuracy of the proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13578 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An $hp$ Error Analysis of HDG for Linear Fluid-Structure Interaction Meddahi, Salim Numerical Analysis 65N30, 65N12, 76S05, 76D07 A variational formulation based on velocity and stress is developed for linear fluid-structure interaction (FSI) problems. The well-posedness and energy stability of this formulation are established. To discretize the problem, a hybridizable discontinuous Galerkin method is employed. An $hp$-convergence analysis is performed for the resulting semi-discrete scheme. The temporal discretization is achieved via the Crank-Nicolson method, and the convergence properties of the fully discrete scheme are examined. Numerical experiments validate the theoretical results, confirming the effectiveness and accuracy of the proposed method. |
| title | An $hp$ Error Analysis of HDG for Linear Fluid-Structure Interaction |
| topic | Numerical Analysis 65N30, 65N12, 76S05, 76D07 |
| url | https://arxiv.org/abs/2404.13578 |