title: Wavelet collocation methods for a first kind boundary integral equation in acoustic scattering
abstract: In this paper we consider a wavelet algorithm for the piecewise constant collocation method applied to the boundary element solution of a first kind integral equation arising in acoustic scattering. The conventional stiffness matrix is transformed into the corresponding matrix with respect to wavelet bases, and it is approximated by a compressed matrix. Finally, the stiffness matrix is multiplied by diagonal preconditioners such that the resulting matrix of the system of linear equations is well conditioned and sparse. Using this matrix, the boundary integral equation can be solved effectively
keyphrases: boundary integral equation acoustic scattering wavelet algorithm piecewise constant collocation boundary element solution stiffness matrix linear equations first kind integral operators wavelet transform computational complexity