Electromagnetic Scattering by Isoparametric Elements of Higher Order

Abstract. A boundary element method with higher order isoparametric elements allows for the simulation of scattering problems given by the electric field integral equation. This paper describes the implementation and provides striking numerical evidence of the higher order convergence rates for the approximation of the electric surface current. One key issue is the necessity of higher order geometrical approximation which leads to an extreme efficiency of some mesh-dependent variable-order approximation.