A multilevel method for solving operator equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:262

Article

Chen, ZY ; Micchelli, CA ; Xu, YS

关键词: wavelets;    multilevel methods;    multiresolutions;    a Gauss-Seidel strategy;    operator equations;   

DOI  :  10.1006/jmaa.2001.7599

来源: Elsevier

【 摘 要 】

We develop a multilevel method suitable for solving operator equations. This method combines the multiresolution structure of the spaces used to solve the operator equation with a Gauss-Seidel strategy to solve the associated matrix equations. We prove that this multilevel scheme has an optimal order of convergence and provide an application of it to the solution of second kind integral equations. (C) 2001 Academic Press.

【 授权许可】

Free