Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913230935293952 |
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| author | Arrarás, Andrés Gaspar, Francisco J. Portero, Laura Rodrigo, Carmen |
| author_facet | Arrarás, Andrés Gaspar, Francisco J. Portero, Laura Rodrigo, Carmen |
| contents | In this work, an efficient blackbox-type multigrid method is proposed for solving multipoint flux approximations of the Darcy problem on logically rectangular grids. The approach is based on a cell-centered multigrid algorithm, which combines a piecewise constant interpolation and the restriction operator by Wesseling/Khalil with a line-wise relaxation procedure. A local Fourier analysis is performed for the case of a Cartesian uniform grid. The method shows a robust convergence for different full tensor coefficient problems and several rough quadrilateral grids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06857 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids Arrarás, Andrés Gaspar, Francisco J. Portero, Laura Rodrigo, Carmen Numerical Analysis 65F10, 65N22, 65N55, 76S05 In this work, an efficient blackbox-type multigrid method is proposed for solving multipoint flux approximations of the Darcy problem on logically rectangular grids. The approach is based on a cell-centered multigrid algorithm, which combines a piecewise constant interpolation and the restriction operator by Wesseling/Khalil with a line-wise relaxation procedure. A local Fourier analysis is performed for the case of a Cartesian uniform grid. The method shows a robust convergence for different full tensor coefficient problems and several rough quadrilateral grids. |
| title | Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids |
| topic | Numerical Analysis 65F10, 65N22, 65N55, 76S05 |
| url | https://arxiv.org/abs/2402.06857 |