An AMG saddle point preconditioner with application to mixed Poisson problems on adaptive quad/cube meshes
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866916533336276992 |
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| author | Burstedde, Carsten Fonseca, Jose A. Metsch, Bram |
| author_facet | Burstedde, Carsten Fonseca, Jose A. Metsch, Bram |
| contents | We investigate various block preconditioners for a low-order Raviart-Thomas discretization of the mixed Poisson problem on adaptive quadrilateral meshes. In addition to standard diagonal and Schur complement preconditioners, we present a dedicated AMG solver for saddle point problems (SPAMG). A key element is a stabilized prolongation operator that couples the flux and scalar components. Our numerical experiments in 2D and 3D show that the SPAMG preconditioner displays nearly mesh-independent iteration counts for adaptive meshes and heterogeneous coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_05830 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | An AMG saddle point preconditioner with application to mixed Poisson problems on adaptive quad/cube meshes Burstedde, Carsten Fonseca, Jose A. Metsch, Bram Numerical Analysis 65N30, 65F08, 65N55 We investigate various block preconditioners for a low-order Raviart-Thomas discretization of the mixed Poisson problem on adaptive quadrilateral meshes. In addition to standard diagonal and Schur complement preconditioners, we present a dedicated AMG solver for saddle point problems (SPAMG). A key element is a stabilized prolongation operator that couples the flux and scalar components. Our numerical experiments in 2D and 3D show that the SPAMG preconditioner displays nearly mesh-independent iteration counts for adaptive meshes and heterogeneous coefficients. |
| title | An AMG saddle point preconditioner with application to mixed Poisson problems on adaptive quad/cube meshes |
| topic | Numerical Analysis 65N30, 65F08, 65N55 |
| url | https://arxiv.org/abs/1901.05830 |