Finite Element Analysis of Transient Eletromoagentic Scattering form 2D Cavities

Abstract

We present a finite element method for the electromagnetic scattering from a 2-D cavity embedded in the infinite ground plane. The problem is first discretized in time by the BETA, LAMBDA Newmark time-marching scheme. The resulting semi-discrete problem is well-posed. Error analysis of the fully discrete finite element formulation is performed. Stability criteria of the time-stepping scheme are also established. Numerical experiments demonstrate the accuracy and stability of the method.