J. Comp. Math., Volume 18. |
Wavelet Method For Boundary Intergal Equations Pin Wen Zhang ^{1}, Yu Zhang ^{2} 1 School of Mathematical Sciences, Peking University, Beijing 100871, China2 Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing 100080, China 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.
Key words: Wavelet bases; Boundary integral equation; Preconditioning. |