Half-sweep algebraic multigrid (HSAMG) method applied to diffusion equations
In previous studies, the efficiency of the Half-Sweep Multigrid (HSMG) method has been shown to be very fast as compared with the standard multigrid method. This is due to its ability to reduce computational complexity of the standard method. In this paper, the primary goal is to propose the Half-Sw...
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| Format: | Conference or Workshop Item |
| Language: | English |
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Springer
2006
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| Online Access: | http://psasir.upm.edu.my/id/eprint/59151/1/Half-sweep%20algebraic%20multigrid%20%28HSAMG%29%20method%20applied%20to%20diffusion%20equations.pdf |
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| author | Sulaiman, Jumat Othman, Mohamed Hasan, Mohammad Khatim |
| author_facet | Sulaiman, Jumat Othman, Mohamed Hasan, Mohammad Khatim |
| author_sort | Sulaiman, Jumat |
| collection | UPM |
| description | In previous studies, the efficiency of the Half-Sweep Multigrid (HSMG) method has been shown to be very fast as compared with the standard multigrid method. This is due to its ability to reduce computational complexity of the standard method. In this paper, the primary goal is to propose the Half-Sweep Algebraic Multigrid (HSAMG) method using the HSCN finite difference scheme for solving two-dimensional diffusion equations. The formulation of the HSAMG scheme is derived by borrowing the concept of the HSMG method. Results on some numerical experiments conducted show that the HSAMG method is superior to the standard algebraic method. |
| first_indexed | 2024-03-06T09:34:29Z |
| format | Conference or Workshop Item |
| id | upm.eprints-59151 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:34:29Z |
| publishDate | 2006 |
| publisher | Springer |
| record_format | dspace |
| spelling | upm.eprints-591512018-02-23T01:32:12Z http://psasir.upm.edu.my/id/eprint/59151/ Half-sweep algebraic multigrid (HSAMG) method applied to diffusion equations Sulaiman, Jumat Othman, Mohamed Hasan, Mohammad Khatim In previous studies, the efficiency of the Half-Sweep Multigrid (HSMG) method has been shown to be very fast as compared with the standard multigrid method. This is due to its ability to reduce computational complexity of the standard method. In this paper, the primary goal is to propose the Half-Sweep Algebraic Multigrid (HSAMG) method using the HSCN finite difference scheme for solving two-dimensional diffusion equations. The formulation of the HSAMG scheme is derived by borrowing the concept of the HSMG method. Results on some numerical experiments conducted show that the HSAMG method is superior to the standard algebraic method. Springer 2006 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/59151/1/Half-sweep%20algebraic%20multigrid%20%28HSAMG%29%20method%20applied%20to%20diffusion%20equations.pdf Sulaiman, Jumat and Othman, Mohamed and Hasan, Mohammad Khatim (2006) Half-sweep algebraic multigrid (HSAMG) method applied to diffusion equations. In: Third International Conference on High Performance Scientific Computing, 6-10 Mar. 2006, Hanoi, Vietnam. (pp. 547-556). 10.1007/978-3-540-79409-7_40 |
| spellingShingle | Sulaiman, Jumat Othman, Mohamed Hasan, Mohammad Khatim Half-sweep algebraic multigrid (HSAMG) method applied to diffusion equations |
| title | Half-sweep algebraic multigrid (HSAMG) method applied to diffusion equations |
| title_full | Half-sweep algebraic multigrid (HSAMG) method applied to diffusion equations |
| title_fullStr | Half-sweep algebraic multigrid (HSAMG) method applied to diffusion equations |
| title_full_unstemmed | Half-sweep algebraic multigrid (HSAMG) method applied to diffusion equations |
| title_short | Half-sweep algebraic multigrid (HSAMG) method applied to diffusion equations |
| title_sort | half sweep algebraic multigrid hsamg method applied to diffusion equations |
| url | http://psasir.upm.edu.my/id/eprint/59151/1/Half-sweep%20algebraic%20multigrid%20%28HSAMG%29%20method%20applied%20to%20diffusion%20equations.pdf |
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