Abstract
The aim of this work is to find the most suitable iterative technique to solve linear systems of equations arising from the dual reciprocity method in multidomains (DRMโMD). In this article, the surface variables of the governing equations and the shape functions of the boundary elements are quadratic functions, and for the dual reciprocity approximation the radial basis function (RBF) used is the augmented thin plate spline. A series of tests are carried out studying efficiency and accuracy of different Krylov iterative solvers, every one assessed with several preconditioners. The results are related to intrinsic properties of the linear systems such as condition numbers, sparsity patterns, singular values, and eigenvalues. Besides, the performance of the selected iterative solvers is studied in relation with the subdivision of the domain, taking into account total number of nodes of the whole mesh, number of internal nodes per subdomain, as well as different aspect ratios of the mesh grids. As a result, performances of different refining schemes are considered. ยฉ 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008