A fast time-domain boundary element method for three-dimensional electromagnetic scattering problems

This paper proposes a fast time-domain boundary element method (TDBEM) to solve three-dimensional transient electromagnetic scattering problems regarding perfectly electric conductors in the classical marching-on-in-time manner. The algorithm of TDBEM is variant interpolation-based multipole (IFMM), which similar IFMM for acoustic investigated author's previous studies. principle present interpolate kernel functions and magnetic field integral equations (EFIE MFIE, respectively) so that every function expressed form separation variables terms both spatial temporal variables. Such an expression enables construct evaluate scalar vector potentials EFIE MFIE with using so-called multipole-moments local-coefficients associated space-time hierarchy. As opposed O(Ns2Nt) conventional TDBEM, computational complexity estimated as O(Ns1+δNt), where Ns Nt stand degrees freedom, respectively, δ typically 1/2 or 1/3. numerical examples presented advantages proposed over when solving large-scale problems.