Non-stationary iterative solvers on a PC cluster |
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| Affiliation: | 1. Department of Mechanical Engineering, University of Washington, Seattle 98107, WA, USA;2. Department of Pathology, University of Washington, Seattle 98109, WA, USA;3. Department of Bioengineering, University of Washington, Seattle 98107, WA, USA;4. Center for Cardiovascular Biology, University of Washington, Seattle 98109, WA, USA;5. Institute for Stem Cell and Regenerative Medicine, University of Washington, Seattle 98109, WA, USA;6. Department of Medicine, University of Washington, Seattle 98195, WA, USA;7. Division of Cardiology, University of Washington, Seattle 98195, WA, USA |
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| Abstract: | In this study, we introduce cost effective strategies and algorithms for parallelizing the Krylov subspace based non-stationary iterative solvers such as Bi-CGM and Bi-CGSTAB for distributed computing on a cluster of PCs using ANULIB message passing libraries. We investigate the effectiveness of the parallel solvers on the linear systems resulting in numerical solution of some 2D and 3D nonlinear partial differential equations governing heat convection process by finite element, finite difference and wavelet based numerical schemes. Largely Bi-CGM is found to give better performance measured in terms of speedup factors. |
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