Wavelet-Galerkin method in solving dynamic electromagnetic field problems

This paper presents a wavelet-Galerkin method to solve dynamic electromagnetic field problems. It differs from some former methods which discretize the whole space domain using wavelet functions; however it discretizes the space domain with finite element, because of its flexibility to the boundary. At the same time, it introduces the scaling function as trial functions for time domain, which are space orthogonal along the real line but have poor ability to adapt complex boundaries. Thus, it incorporates the merits of both techniques. The results are better without too much calculation time.