Non-stationary iterative solvers on a PC cluster

  • Authors:

  • B. V. Rathish Kumar; Shalini;Mani Mehra

  • Affiliations:

  • Parallel Computing Laboratory, Department of Mathematics and Scientific Computing, Indian Institute of Technology, Kanpur 208 016, India;Parallel Computing Laboratory, Department of Mathematics and Scientific Computing, Indian Institute of Technology, Kanpur 208 016, India;Parallel Computing Laboratory, Department of Mathematics and Scientific Computing, Indian Institute of Technology, Kanpur 208 016, India

  • Venue:
  • Advances in Engineering Software
  • Year:
  • 2005

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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.