Calderón stabilized time domain integral equation solvers

Abstract

In this paper, we present new techniques for stabilizing marching on in time-based time domain integral equation (MOT-TDIE) solvers that distinguish themselves from the above ones in that they operate hand in glove with recently developed Calderon-based MOT-TDIE preconditioners. The proposed preconditioners provide simple mechanisms for eliminating "resonant" and "DC" eigenvalues from combined and electric field TDIEs, thereby rendering them immune from late-time ringing and non-oscillatory growth of their solutions. Numerical results that show the validity and the effectiveness of the proposed equations are presented.