Wavelet-Galerkin scheme of time-dependent inhomogeneous electromagnetic problems

A wavelet-Galerkin scheme based on the time-dependent Maxwell's equations i s presented. Daubechies' wavelet with two vanishing wavelet moments is expa nded for basis function in spatial domain, and Yee's leap-frog approach is applied, The shifted interpolation property of Daubechies' wavelet family l eads to the simplified formulations for inhomogeneous media without the add itional matrices for the integral or material operator. The storage effecti veness, execution time reduction, and accuracy of this scheme are demonstra ted by calculating the resonant frequencies of the homogeneous and inhomoge neous cavities.