Convergence of a Collocation Scheme for a Retarded Potential Integral Equation

Abstract

Abstract. Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). We outline how Fourier and Laplace transforms can be used to obtain an O(h 2 ) convergence result for a "polar" piecewise-linear collocation approximation of a scalar RPIE on an infinite flat plate.