Wavelet-based preconditioners for boundary integral equations
This paper designs wavelet-based preconditioners for iterative methods concerning the Galerkin schemes for the first kind integral equations of hypersingular and weakly singular kernels. The preconditioners are based on the decomposition of piecewise-linear (piecewise-constant, respectively) prewavelets. It is proved that, due to the orthogonality property, the condition number is bounded independently of the dimension of the linear space of prewavelets.
preconditioned conjugate gradient method
hypersingular and weakly singular kernels
scientific article; zbMATH DE number 1279284