Parallel iterative solvers involving fast wavelet transforms for the solution of BEM systems

  • Authors:
  • Patricia González;José C. Cabaleiro;Tomás F. Pena

  • Affiliations:
  • Departamento Electronics and Systems, Universidad A Coruña, 15071 A Coruña, Spain;Departamento Electronics and Computer Science, Universidad Santiago de Compostela, 15782 Santiago de Compostela, Spain;Departamento Electronics and Computer Science, Universidad Santiago de Compostela, 15782 Santiago de Compostela, Spain

  • Venue:
  • Advances in Engineering Software - Engineering computational technology
  • Year:
  • 2002

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Abstract

This paper describes the parallelization of a strategy to speed up the convergence of iterative methods applied to boundary element method (BEM) systems arising from problems with non-smooth boundaries and mixed boundary conditions. The aim of the work is the application of fast wavelet transforms as a black box transformation in existing boundary element codes. A new strategy was proposed, applying wavelet transforms on the interval, so it could be used in case of non-smooth coefficient matrices. Here, we describe the parallel iterative scheme and we present some of the results we have obtained.