Two-level preconditioners for the Helmholtz equation
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2017
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929447150551040 |
|---|---|
| author | Bonazzoli, Marcella Dolean, Victorita Graham, Ivan Spence, Euan Tournier, Pierre-Henri |
| author_facet | Bonazzoli, Marcella Dolean, Victorita Graham, Ivan Spence, Euan Tournier, Pierre-Henri |
| contents | In this paper we compare numerically two different coarse space definitions for two-level domain decomposition preconditioners for the Helmholtz equation, both in two and three dimensions. While we solve the pure Helmholtz problem without absorption, the preconditioners are built from problems with absorption. In the first method, the coarse space is based on the discretization of the problem with absorption on a coarse mesh, with diameter constrained by the wavenumber. In the second method, the coarse space is built by solving local eigenproblems involving the Dirichlet-to-Neumann (DtN) operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1705_08139 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Two-level preconditioners for the Helmholtz equation Bonazzoli, Marcella Dolean, Victorita Graham, Ivan Spence, Euan Tournier, Pierre-Henri Numerical Analysis In this paper we compare numerically two different coarse space definitions for two-level domain decomposition preconditioners for the Helmholtz equation, both in two and three dimensions. While we solve the pure Helmholtz problem without absorption, the preconditioners are built from problems with absorption. In the first method, the coarse space is based on the discretization of the problem with absorption on a coarse mesh, with diameter constrained by the wavenumber. In the second method, the coarse space is built by solving local eigenproblems involving the Dirichlet-to-Neumann (DtN) operator. |
| title | Two-level preconditioners for the Helmholtz equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/1705.08139 |