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The AGEB Algorithm for Solving Heat Equation in Two Space Dimensions and Its Parallelization on a Distributed Memory Machine

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)

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Official URL: http://dx.doi.org/10.1007/3-540-45545-0_104

Abstract

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.

Item Type:Article
Uncontrolled Keywords:AGEB algorithm,heat equation, three space dimensions
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:6467
Deposited By: Dr Siew Ling Lee
Deposited On:08 Oct 2008 04:24
Last Modified:01 Jun 2010 15:43

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