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 - <p style="text-align: justify;">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. &nbsp;</p>