An abstraction for solving multi-domain problems using finite element methods
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914182984630272 |
|---|---|
| author | Sagiyama, Koki Mitchell, Lawrence Ham, David A. |
| author_facet | Sagiyama, Koki Mitchell, Lawrence Ham, David A. |
| contents | We introduce a new abstraction for the representation and solution of multi-domain problems using finite element methods. This is an advance over previous work in that it achieves a single higher-level abstraction that represents multi-domain problems in the mixed variational problem formalism. We implemented our new abstraction in UFL and Firedrake, and validated our implementations solving a quad-triangle mixed-cell-type problem, a hex-quad mixed-cell-type problem, and a fluid-structure interaction benchmark problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06146 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An abstraction for solving multi-domain problems using finite element methods Sagiyama, Koki Mitchell, Lawrence Ham, David A. Mathematical Software Numerical Analysis We introduce a new abstraction for the representation and solution of multi-domain problems using finite element methods. This is an advance over previous work in that it achieves a single higher-level abstraction that represents multi-domain problems in the mixed variational problem formalism. We implemented our new abstraction in UFL and Firedrake, and validated our implementations solving a quad-triangle mixed-cell-type problem, a hex-quad mixed-cell-type problem, and a fluid-structure interaction benchmark problem. |
| title | An abstraction for solving multi-domain problems using finite element methods |
| topic | Mathematical Software Numerical Analysis |
| url | https://arxiv.org/abs/2512.06146 |