The AGEB Algorithm for Solving Heat Equation in Two Space Dimensions and Its Parallelization on a Distributed Memory Machine
In this paper, a computational analysis of parallelized a class of the AGE method based on the Brian variant (AGEB) is presented using (2 × 2) blocks. The resulting schemes are found to be effective in reducing data storage accesses and communication time on a distributed computer system. All the p...
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| Format: | Article |
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Springer Verlag, Berlin
2001
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| Online Access: | http://eprints.utm.my/6467/ |
| _version_ | 1848891275065950208 |
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| author | Alias, Norma Sahimi, Mohamed Salleh Abdullah, Abdul Rahman |
| author_facet | Alias, Norma Sahimi, Mohamed Salleh Abdullah, Abdul Rahman |
| author_sort | Alias, Norma |
| building | UTeM Institutional Repository |
| collection | Online Access |
| description | In this paper, a computational analysis of parallelized a class of the AGE method based on the Brian variant (AGEB) is presented using (2 × 2) blocks. The resulting schemes are found to be effective in reducing data storage accesses and communication time on a distributed computer system. All the parallel strategies were developed on a cluster of workstations based on Parallel Virtual Machine environment [6]. The experiments were run on the homogeneous cluster of 20 Intel Pentium IV PCs, each with a storage of 20GB and speed of 1.6Mhz. Finally, the results of some computational experiments and performance measurements will be discussed. In conclusion, the communication cost and computational
complexity have effected the efficiency of the parallel strategies. |
| first_indexed | 2025-11-15T20:55:22Z |
| format | Article |
| id | utm-6467 |
| institution | Universiti Teknologi Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T20:55:22Z |
| publishDate | 2001 |
| publisher | Springer Verlag, Berlin |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utm-64672010-06-01T15:43:31Z http://eprints.utm.my/6467/ The AGEB Algorithm for Solving Heat Equation in Two Space Dimensions and Its Parallelization on a Distributed Memory Machine Alias, Norma Sahimi, Mohamed Salleh Abdullah, Abdul Rahman QA Mathematics In this paper, a computational analysis of parallelized a class of the AGE method based on the Brian variant (AGEB) is presented using (2 × 2) blocks. The resulting schemes are found to be effective in reducing data storage accesses and communication time on a distributed computer system. All the parallel strategies were developed on a cluster of workstations based on Parallel Virtual Machine environment [6]. The experiments were run on the homogeneous cluster of 20 Intel Pentium IV PCs, each with a storage of 20GB and speed of 1.6Mhz. Finally, the results of some computational experiments and performance measurements will be discussed. In conclusion, the communication cost and computational complexity have effected the efficiency of the parallel strategies. Springer Verlag, Berlin 2001 Article PeerReviewed Alias, Norma and Sahimi, Mohamed Salleh and Abdullah, Abdul Rahman (2001) The AGEB Algorithm for Solving Heat Equation in Two Space Dimensions and Its Parallelization on a Distributed Memory Machine. Lecture Notes in Computer Science . pp. 214-221. ISSN 0302-9743 (Print) 1611-3349 (Online) http://dx.doi.org/10.1007/3-540-45545-0_104 10.1007/3-540-45545-0_104 |
| spellingShingle | QA Mathematics Alias, Norma Sahimi, Mohamed Salleh Abdullah, Abdul Rahman The AGEB Algorithm for Solving Heat Equation in Two Space Dimensions and Its Parallelization on a Distributed Memory Machine |
| title | The AGEB Algorithm for Solving Heat Equation in Two Space Dimensions and Its Parallelization on a Distributed Memory Machine |
| title_full | The AGEB Algorithm for Solving Heat Equation in Two Space Dimensions and Its Parallelization on a Distributed Memory Machine |
| title_fullStr | The AGEB Algorithm for Solving Heat Equation in Two Space Dimensions and Its Parallelization on a Distributed Memory Machine |
| title_full_unstemmed | The AGEB Algorithm for Solving Heat Equation in Two Space Dimensions and Its Parallelization on a Distributed Memory Machine |
| title_short | The AGEB Algorithm for Solving Heat Equation in Two Space Dimensions and Its Parallelization on a Distributed Memory Machine |
| title_sort | ageb algorithm for solving heat equation in two space dimensions and its parallelization on a distributed memory machine |
| topic | QA Mathematics |
| url | http://eprints.utm.my/6467/ http://eprints.utm.my/6467/ http://eprints.utm.my/6467/ |