Wavelet Transform Approach on Boundary Element Method for Solving Electromagnetic Scattering from Multiple Scatterers

摘要

The wavelet transform approach is applied to the boundary element method (BEM) for solving electromagnetic scattering from multiple scatterers. A matrix equation is first obtained by the BEM where the elements of the impedance matrix are arranged as smooth as possible along its columns and rows. Consequently, the matrix is divided into several minor matrices with continuous and periodic structures along their columns and rows. Next, the matrix equation is transformed by a wavelet matrix to sparsify the impedance matrix. The wavelet matrix is constructed to consist of minor wavelet matrices and makes the minor matrices of the impedance matrix be transformed independently. This approach reduces both the computation costs of performing the wavelet transform and solving sparse linear equations if it is compared with the conventional one.