TY - JOUR T1 - Wavelet Method for Boundary Integral Equations AU - Zhang , Pin-Wen AU - Zhang , Yu JO - Journal of Computational Mathematics VL - 1 SP - 25 EP - 42 PY - 2000 DA - 2000/02 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9020.html KW - Wavelet bases, Boundary integral equation, Preconditioning. AB -

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 speeds up the iterative solving process. Using an iterative method, one thus obtains a fast numerical algorithm to solve the boundary integral equations.