A multilevel method for solving operator equations

作者：Chen, ZY^*; Micchelli, CA; Xu, YS

来源：Journal of Mathematical Analysis and Applications, 2001, 262(2): 688-699.

DOI：10.1006/jmaa.2001.7599

• wavelets
• multilevel methods
• multiresolutions
• a Gauss-Seidel strategy
• operator equations

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.

• 出版日期2001-10-15
• 单位中山大学