Homogeneous multigrid for hybrid discretizations: application to HHO methods
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916199272546304 |
|---|---|
| author | Di Pietro, Daniele A. Dong, Zhaonan Kanschat, Guido Matalon, Pierre Rupp, Andreas |
| author_facet | Di Pietro, Daniele A. Dong, Zhaonan Kanschat, Guido Matalon, Pierre Rupp, Andreas |
| contents | We prove the uniform convergence of the geometric multigrid V-cycle for hybrid high-order (HHO) and other discontinuous skeletal methods. Our results generalize previously established results for HDG methods, and our multigrid method uses standard smoothers and local solvers that are bounded, convergent, and consistent. We use a weak version of elliptic regularity in our proofs. Numerical experiments confirm our theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15858 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homogeneous multigrid for hybrid discretizations: application to HHO methods Di Pietro, Daniele A. Dong, Zhaonan Kanschat, Guido Matalon, Pierre Rupp, Andreas Numerical Analysis We prove the uniform convergence of the geometric multigrid V-cycle for hybrid high-order (HHO) and other discontinuous skeletal methods. Our results generalize previously established results for HDG methods, and our multigrid method uses standard smoothers and local solvers that are bounded, convergent, and consistent. We use a weak version of elliptic regularity in our proofs. Numerical experiments confirm our theoretical results. |
| title | Homogeneous multigrid for hybrid discretizations: application to HHO methods |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2403.15858 |