Wavelet Galerkin methods for second-kind integral equations

[摘要] We use vector-valued multiwavelets on compact sets to develop a Galerkin method for systems of integral equations of the second kind. We propose a compression strategy for the coefficient matrix of the linear system obtained from this method and show that the compressed scheme preserves almost optimal convergence rate of the original scheme and yields a sparse matrix with a bounded condition number.

[发布日期] 1997-11-28

[关键词] wavelet Galerkin methods;systems of integral equations;weakly singular kernels