A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2017
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| Subjects: | |
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| _version_ | 1866910552766283776 |
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| 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 | The construction of fast iterative solvers for the indefinite time-harmonic Maxwell's system at mid- to high-frequency is a problem of great current interest. Some of the difficulties that arise are similar to those encountered in the case of the mid- to high-frequency Helmholtz equation. Here we investigate how two-level domain-decomposition preconditioners recently proposed for the Helmholtz equation work in the Maxwell case, both from the theoretical and numerical points of view. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1705_08138 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations Bonazzoli, Marcella Dolean, Victorita Graham, Ivan Spence, Euan Tournier, Pierre-Henri Numerical Analysis The construction of fast iterative solvers for the indefinite time-harmonic Maxwell's system at mid- to high-frequency is a problem of great current interest. Some of the difficulties that arise are similar to those encountered in the case of the mid- to high-frequency Helmholtz equation. Here we investigate how two-level domain-decomposition preconditioners recently proposed for the Helmholtz equation work in the Maxwell case, both from the theoretical and numerical points of view. |
| title | A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/1705.08138 |