Parallel PWTD-Accelerated Explicit Solution of the Time Domain Electric Field Volume Integral Equation
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Center for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)
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AbstractA parallel plane-wave time-domain (PWTD)-accelerated explicit marching-on-in-time (MOT) scheme for solving the time domain electric field volume integral equation (TD-EFVIE) is presented. The proposed scheme leverages pulse functions and Lagrange polynomials to spatially and temporally discretize the electric flux density induced throughout the scatterers, and a finite difference scheme to compute the electric fields from the Hertz electric vector potentials radiated by the flux density. The flux density is explicitly updated during time marching by a predictor-corrector (PC) scheme and the vector potentials are efficiently computed by a scalar PWTD scheme. The memory requirement and computational complexity of the resulting explicit PWTD-PC-EFVIE solver scale as ( log ) s s O N N and ( ) s t O N N , respectively. Here, s N is the number of spatial basis functions and t N is the number of time steps. A scalable parallelization of the proposed MOT scheme on distributed- memory CPU clusters is described. The efficiency, accuracy, and applicability of the resulting (parallelized) PWTD-PC-EFVIE solver are demonstrated via its application to the analysis of transient electromagnetic wave interactions on canonical and real-life scatterers represented with up to 25 million spatial discretization elements.
CitationParallel PWTD-Accelerated Explicit Solution of the Time Domain Electric Field Volume Integral Equation 2016:1 IEEE Transactions on Antennas and Propagation
SponsorsThis work was supported in part by the AFOSR/NSSEFF Program under Award FA9550-10-1-0180 and the National Science Foundation (NSF) under Grant CCF 1116082.