Numerical modeling of electromagnetics via a wavelet-collocation method

A wavelet-collocation scheme, constructed from the discrete singular convolution (DSC) is presented for computational electromagnetics. To illustrate the usefulness, test the accuracy and explore the limitations of the wavelet algorithm, four test problems are considered: waveguide analysis in both regular and irregular domains; electromagnetic wave scattering; electrostatic field estimation via potential functions; electromagnetic wave propagation in 3D. The computational accuracy of the wavelet algorithm is shown to be controllable and is compared with a standard approach. Numerical experiments indicate that the proposed wavelet algorithm could be a promising approach for solving problems in electromagnetics.