Volume 18, Issue 1
Wavelet Method for Boundary Intergal Equations
DOI:

J. Comp. Math., 18 (2000), pp. 25-42

Published online: 2000-02

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• Abstract

In this paper, we show how to use wavelet to discretize the boundary integral equations which are both singular and ill-conditioned. By using an explicit diagonal preconditioning, the condition number of the corresponding matrix is bounded by a constant, while the sparse structure speed up the iterative solving process. Using an iterative method, one thus obtains a fast numerical algorithm to solve the boundary integral equations.

• Keywords

Wavelet bases Boundary integral equation Preconditioning