Wavelet transform approach on boundary element method for solving electromagnetic scattering problems
Ning Guan, Ken'ichiro Yashiro, Sumio Ohkawa · 2002
We apply the wavelet transform approach to the boundary element method (BEM) for solving the electromagnetic scattering from conducting/dielectric cylinders with arbitrary cross sections. The problem is first reduced to a matrix equation by the BEM. Then the equation is transformed by the wavelet transform to produce a sparse matrix equation. Finally, the sparse equation is solved effectively by a sparse linear system solver. In order to preserve the condition number of the matrix and save the computation cost in the transform, the Daubechies' (1988) wavelet with a relative low degree is chosen to construct a sparse orthogonal wavelet matrix.