An efficient multigrid Poisson solver
In this paper, we introduce an efficient technique known as a quarter sweeps multigrid method for solving two dimensional Poisson equation with the Dirichlet boundary condition. The method with the red black Gauss-Seidel smoothing scheme is shown to be the most superior than the half- and full-sweep...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Overseas Publishers Association
1999
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51285/ http://psasir.upm.edu.my/id/eprint/51285/1/51285.pdf |
| _version_ | 1848851791007973376 |
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| author | Othman, Mohamed Abdullah, Abdul Rahman |
| author_facet | Othman, Mohamed Abdullah, Abdul Rahman |
| author_sort | Othman, Mohamed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we introduce an efficient technique known as a quarter sweeps multigrid method for solving two dimensional Poisson equation with the Dirichlet boundary condition. The method with the red black Gauss-Seidel smoothing scheme is shown to be the most superior than the half- and full-sweeps multigrid methods due to Othman et at. [8] and Gupta et al. [5], respectively. Some numerical experiments are included to confirm our recommendation. |
| first_indexed | 2025-11-15T10:27:47Z |
| format | Article |
| id | upm-51285 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:27:47Z |
| publishDate | 1999 |
| publisher | Overseas Publishers Association |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-512852017-07-04T03:27:54Z http://psasir.upm.edu.my/id/eprint/51285/ An efficient multigrid Poisson solver Othman, Mohamed Abdullah, Abdul Rahman In this paper, we introduce an efficient technique known as a quarter sweeps multigrid method for solving two dimensional Poisson equation with the Dirichlet boundary condition. The method with the red black Gauss-Seidel smoothing scheme is shown to be the most superior than the half- and full-sweeps multigrid methods due to Othman et at. [8] and Gupta et al. [5], respectively. Some numerical experiments are included to confirm our recommendation. Overseas Publishers Association 1999 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51285/1/51285.pdf Othman, Mohamed and Abdullah, Abdul Rahman (1999) An efficient multigrid Poisson solver. International Journal of Computer Mathematics, 71 (4). pp. 541-553. ISSN 0020-7160; ESSN: 1029-0265 http://www.tandfonline.com/doi/abs/10.1080/00207169908804828 10.1080/00207169908804828 |
| spellingShingle | Othman, Mohamed Abdullah, Abdul Rahman An efficient multigrid Poisson solver |
| title | An efficient multigrid Poisson solver |
| title_full | An efficient multigrid Poisson solver |
| title_fullStr | An efficient multigrid Poisson solver |
| title_full_unstemmed | An efficient multigrid Poisson solver |
| title_short | An efficient multigrid Poisson solver |
| title_sort | efficient multigrid poisson solver |
| url | http://psasir.upm.edu.my/id/eprint/51285/ http://psasir.upm.edu.my/id/eprint/51285/ http://psasir.upm.edu.my/id/eprint/51285/ http://psasir.upm.edu.my/id/eprint/51285/1/51285.pdf |