The parallelization of the direct and iterative schemes for solving boundary layer problem on heterogeneous cluster systems
In this paper, we present iterative schemes, specifically the iterative schemes: conjugate gradient, and Gauss-Seidel as well as direct schemes: LU factorization and Gauss elimination for solving boundary layer problem. The aim of this paper is to offer reasonable assessments and contrasts on behalf...
| Main Authors: | , , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2010
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| Subjects: | |
| Online Access: | http://eprints.utm.my/9985/ http://eprints.utm.my/9985/1/39.pdf |
| _version_ | 1848891989309784064 |
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| author | Alias, Norma Hamzah, Norhafiza Satam, Noriza Abd. Ghaffar, Zarith Safiza Darwis, Roziha S. Amin, Norsarahaida |
| author_facet | Alias, Norma Hamzah, Norhafiza Satam, Noriza Abd. Ghaffar, Zarith Safiza Darwis, Roziha S. Amin, Norsarahaida |
| author_sort | Alias, Norma |
| building | UTeM Institutional Repository |
| collection | Online Access |
| description | In this paper, we present iterative schemes, specifically the iterative schemes: conjugate gradient, and Gauss-Seidel as well as direct schemes: LU factorization and Gauss elimination for solving boundary layer problem. The aim of this paper is to offer reasonable assessments and contrasts on behalf of the numerical experiments of these two schemes. The sequential and parallel programming is developed using a C programming language under Linux environment, while the parallel programming is running using the Parallel Virtual Machine (PVM) on a heterogeneous cluster systems. The analysis of the results are conducted in terms of numerical and parallel performance evaluations namely execution time, speedup, efficiency, effectiveness and temporal performance. The results prove that the iterative methods of conjugate gradient and Gauss-Seidel method are the alternatives scheme for solving the large scale computation. |
| first_indexed | 2025-11-15T21:06:43Z |
| format | Conference or Workshop Item |
| id | utm-9985 |
| institution | Universiti Teknologi Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T21:06:43Z |
| publishDate | 2010 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utm-99852020-03-17T08:03:46Z http://eprints.utm.my/9985/ The parallelization of the direct and iterative schemes for solving boundary layer problem on heterogeneous cluster systems Alias, Norma Hamzah, Norhafiza Satam, Noriza Abd. Ghaffar, Zarith Safiza Darwis, Roziha S. Amin, Norsarahaida Q Science (General) QA75 Electronic computers. Computer science In this paper, we present iterative schemes, specifically the iterative schemes: conjugate gradient, and Gauss-Seidel as well as direct schemes: LU factorization and Gauss elimination for solving boundary layer problem. The aim of this paper is to offer reasonable assessments and contrasts on behalf of the numerical experiments of these two schemes. The sequential and parallel programming is developed using a C programming language under Linux environment, while the parallel programming is running using the Parallel Virtual Machine (PVM) on a heterogeneous cluster systems. The analysis of the results are conducted in terms of numerical and parallel performance evaluations namely execution time, speedup, efficiency, effectiveness and temporal performance. The results prove that the iterative methods of conjugate gradient and Gauss-Seidel method are the alternatives scheme for solving the large scale computation. 2010-06-25 Conference or Workshop Item PeerReviewed application/pdf en http://eprints.utm.my/9985/1/39.pdf Alias, Norma and Hamzah, Norhafiza and Satam, Noriza and Abd. Ghaffar, Zarith Safiza and Darwis, Roziha and S. Amin, Norsarahaida (2010) The parallelization of the direct and iterative schemes for solving boundary layer problem on heterogeneous cluster systems. In: VECPAR'10, 22-25 June 2010, Berkeley, CA (USA). http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:101179 |
| spellingShingle | Q Science (General) QA75 Electronic computers. Computer science Alias, Norma Hamzah, Norhafiza Satam, Noriza Abd. Ghaffar, Zarith Safiza Darwis, Roziha S. Amin, Norsarahaida The parallelization of the direct and iterative schemes for solving boundary layer problem on heterogeneous cluster systems |
| title | The parallelization of the direct and iterative schemes for solving boundary layer problem on heterogeneous cluster systems |
| title_full | The parallelization of the direct and iterative schemes for solving boundary layer problem on heterogeneous cluster systems |
| title_fullStr | The parallelization of the direct and iterative schemes for solving boundary layer problem on heterogeneous cluster systems |
| title_full_unstemmed | The parallelization of the direct and iterative schemes for solving boundary layer problem on heterogeneous cluster systems |
| title_short | The parallelization of the direct and iterative schemes for solving boundary layer problem on heterogeneous cluster systems |
| title_sort | parallelization of the direct and iterative schemes for solving boundary layer problem on heterogeneous cluster systems |
| topic | Q Science (General) QA75 Electronic computers. Computer science |
| url | http://eprints.utm.my/9985/ http://eprints.utm.my/9985/ http://eprints.utm.my/9985/1/39.pdf |