Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917742963064832 |
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| author | Sieburgh, Erik Heinlein, Alexander Dwarka, Vandana Vuik, Cornelis |
| author_facet | Sieburgh, Erik Heinlein, Alexander Dwarka, Vandana Vuik, Cornelis |
| contents | The development of scalable and wavenumber-robust iterative solvers for Helmholtz problems is challenging but also relevant for various application fields. In this work, two-level Schwarz domain decomposition preconditioners are enhanced by coarse space constructed using higher-order Bézier interpolation. The numerical results indicate numerical scalability and robustness with respect the wavenumber, as long as the wavenumber times the element size of the coarse mesh is sufficiently low. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03571 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems Sieburgh, Erik Heinlein, Alexander Dwarka, Vandana Vuik, Cornelis Numerical Analysis The development of scalable and wavenumber-robust iterative solvers for Helmholtz problems is challenging but also relevant for various application fields. In this work, two-level Schwarz domain decomposition preconditioners are enhanced by coarse space constructed using higher-order Bézier interpolation. The numerical results indicate numerical scalability and robustness with respect the wavenumber, as long as the wavenumber times the element size of the coarse mesh is sufficiently low. |
| title | Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2408.03571 |