Advances on the finite element discretization of fluid-structure interaction problems
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866918152776974336 |
|---|---|
| author | Alshehri, Najwa Boffi, Daniele Credali, Fabio Gastaldi, Lucia |
| author_facet | Alshehri, Najwa Boffi, Daniele Credali, Fabio Gastaldi, Lucia |
| contents | We review the main features of an unfitted finite element method for interface and fluid-structure interaction problems based on a distributed Lagrange multiplier in the spirit of the fictitious domain approach. We recall our theoretical findings concerning well-posedness, stability, and convergence of the numerical schemes, and discuss the related computational challenges. In the case of elliptic interface problems, we also present a posteriori error estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02594 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Advances on the finite element discretization of fluid-structure interaction problems Alshehri, Najwa Boffi, Daniele Credali, Fabio Gastaldi, Lucia Numerical Analysis We review the main features of an unfitted finite element method for interface and fluid-structure interaction problems based on a distributed Lagrange multiplier in the spirit of the fictitious domain approach. We recall our theoretical findings concerning well-posedness, stability, and convergence of the numerical schemes, and discuss the related computational challenges. In the case of elliptic interface problems, we also present a posteriori error estimates. |
| title | Advances on the finite element discretization of fluid-structure interaction problems |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2505.02594 |