MEGSOR iterative method for the triangle element solution of 2D Poisson equations
In previous studies of finite difference approaches, the 4 Point-Modified Explicit Group (MEG) iterative method with or without a weighted parameter, ω, has been pointed out to be much faster as compared to the existing four point block iterative methods. The main characteristic of the MEG iterative...
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| Format: | Article |
| Language: | English |
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Elsevier
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15601/ http://psasir.upm.edu.my/id/eprint/15601/1/15601.pdf |
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| author | Sulaiman, Jumat Hasan, Mohammad Khatim Othman, Mohamed Abdul Karim, Samsul Arffin |
| author_facet | Sulaiman, Jumat Hasan, Mohammad Khatim Othman, Mohamed Abdul Karim, Samsul Arffin |
| author_sort | Sulaiman, Jumat |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In previous studies of finite difference approaches, the 4 Point-Modified Explicit Group (MEG) iterative method with or without a weighted parameter, ω, has been pointed out to be much faster as compared to the existing four point block iterative methods. The main characteristic of the MEG iterative method is to reduce computational complexity compared to the full-sweep or half-sweep methods. Due to the effectiveness of this method, the primary goal of this paper is to demonstrate the use of the 4 Point- Modified Explicit Group (MEG) iterative method together with a weighted parameter, namely 4 Point-MEGSOR. The effectiveness of this method has been shown via results of numerical experiments, which are recorded and analyzed, show that that the 4 Point-MEGSOR iterative scheme is superior as compared with the existing four point block schemes. |
| first_indexed | 2025-11-15T08:03:40Z |
| format | Article |
| id | upm-15601 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:03:40Z |
| publishDate | 2012 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-156012015-12-07T02:54:29Z http://psasir.upm.edu.my/id/eprint/15601/ MEGSOR iterative method for the triangle element solution of 2D Poisson equations Sulaiman, Jumat Hasan, Mohammad Khatim Othman, Mohamed Abdul Karim, Samsul Arffin In previous studies of finite difference approaches, the 4 Point-Modified Explicit Group (MEG) iterative method with or without a weighted parameter, ω, has been pointed out to be much faster as compared to the existing four point block iterative methods. The main characteristic of the MEG iterative method is to reduce computational complexity compared to the full-sweep or half-sweep methods. Due to the effectiveness of this method, the primary goal of this paper is to demonstrate the use of the 4 Point- Modified Explicit Group (MEG) iterative method together with a weighted parameter, namely 4 Point-MEGSOR. The effectiveness of this method has been shown via results of numerical experiments, which are recorded and analyzed, show that that the 4 Point-MEGSOR iterative scheme is superior as compared with the existing four point block schemes. Elsevier 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15601/1/15601.pdf Sulaiman, Jumat and Hasan, Mohammad Khatim and Othman, Mohamed and Abdul Karim, Samsul Arffin (2012) MEGSOR iterative method for the triangle element solution of 2D Poisson equations. Procedia Computer Science, 1 (1). pp. 377-385. ISSN 1877-0509 10.1016/j.procs.2010.04.041 |
| spellingShingle | Sulaiman, Jumat Hasan, Mohammad Khatim Othman, Mohamed Abdul Karim, Samsul Arffin MEGSOR iterative method for the triangle element solution of 2D Poisson equations |
| title | MEGSOR iterative method for the triangle element solution of 2D Poisson equations |
| title_full | MEGSOR iterative method for the triangle element solution of 2D Poisson equations |
| title_fullStr | MEGSOR iterative method for the triangle element solution of 2D Poisson equations |
| title_full_unstemmed | MEGSOR iterative method for the triangle element solution of 2D Poisson equations |
| title_short | MEGSOR iterative method for the triangle element solution of 2D Poisson equations |
| title_sort | megsor iterative method for the triangle element solution of 2d poisson equations |
| url | http://psasir.upm.edu.my/id/eprint/15601/ http://psasir.upm.edu.my/id/eprint/15601/ http://psasir.upm.edu.my/id/eprint/15601/1/15601.pdf |