Author(s)

K. Koroi & K. Abe

Abstract

An h-hierarchical method is developed using Haar wavelets for two-dimen- sional Laplace problems and performance of the developed method is investi- gated. Haar wavelets provide complete hierarchical system for approximate solution and sparse coefficient matrix by truncation. The preconditioned GMRES(m), a kind of iterative solvers, is employed to solve equations. Through numerical example, it is found that the memory requirement is decreased, however, the CPU time is not shortened because of a large cost of preconditioning. 1 Introduction In the h-hierarchical adaptive refinement method, approximate solution is constructed with hierarchical bases, and th

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