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Grid computing for the Bi-CGSTAB applied to the solution of the modified helmholtz equation

Mathioudakis Emmanouil, Papadopoulou Eleni

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URI: http://purl.tuc.gr/dl/dias/B5DD1AE9-351D-45B5-A415-5DEC639BF324
Year 2007
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation Ε.Ν. Mathioudakis , Ε. Ρ. Papadopoulou," Grid computing for the Bi-CGSTAB applied to the solution of the modified helmholtz equation", Int. J. of Applied Maths and Comp. Science, vol. 4,no. 3,pp 179-184, 2007.
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Summary

The problem addressed herein is the efficient management of the Grid/Cluster intense computation involved, when the preconditioned Bi-CGSTAB Krylov method is employed for the iterative solution of the large and sparse linear system arising from the discretization of the Modified Helmholtz-Dirichlet problem by the Hermite Collocation method. Taking advantage of the Collocation matrix's red-black ordered structure we organize efficiently the whole computation and map it on a pipeline architecture with master-slave communication. Implementation, through MPI programming tools, is realized on a SUN V240 cluster, interconnected through a 100Mbps and 1Gbps ethernet network, and its performance is presented by speedup measurements included.

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