Interpolating wavelets on unstructured grids for the fast computation of 3D integral problems
Julio E. Castrillón-Candás, Kevin S. Amaratunga · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2000
In this paper we present an approach to construct second generation interpolating wavelets to compress the class of integral operators of the form (integral) K(x,y)dy over an unstructured grid in 3D. This approach results in a scheme that generally requires O(N) storage at O(N) cost. Moreover, analytical estimates of the stiffness matrix coefficients are derived. Numerical results are presented for a second kind formation of Laplace equation.