Accurate FDTD wavelet-Galerkin representation of field singularities near conductive wedges

A novel hybrid technique for the precise representation of field singlariti es generated by hard to model geometrical peculiarities, such as arbitraril y angled conductive wedges, is presented. Its primary concept lies in the c ombined implementation of the FDTD method and the wavelet (Daubechies' basi s)-Galerkin formulation in different, distinct areas of the computational d omain. The robustness and simplicity of the fort-ner. used in regions of sm ooth field variations. and the ability of the latter, utilised near discont inuities, to efficiently simulate highly varying phenomena. allow the preci se treatment of sharp wedges. Hence. the proposed algorithm yields sufficie ntly accurate coarse grid results and short time-advancing intervals, as th e numerical verification reveals.