WAVELET METHOD FOR BOUNDARY INTEGRAL EQUATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Wavelet bases Boundary integral equation Preconditioning.
• 年，卷（期）: 2000,（1）
• 页码范围: 25-42
• 页数: 18页
• 语种: 英文

摘要

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.