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The wavelet BEM is formulated using the non-orthogonal spline wavelets. These wavelets have the vanishing moment property independent of the order of piesewise polynomials. The coefficient submatrices of the reduced equations on the wavelet-based BEM are also compressed with the truncation of small matrix entries. The linear algebraic equations with a sparse coefficient matrix are solved using iterative solver, e.g. Bi-CGStab, GPBi-CG and GMRES. 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