TY - JOUR

T1 - Parallel PWTD-Accelerated Explicit Solution of the Time Domain Electric Field Volume Integral Equation

AU - Liu, Yang

AU - Al-Jarro, Ahmed

AU - Bagci, Hakan

AU - Michielssen, Eric

N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This 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.

PY - 2016/3/25

Y1 - 2016/3/25

N2 - A 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.

AB - A 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.

UR - http://hdl.handle.net/10754/604702

UR - http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7442102

UR - http://www.scopus.com/inward/record.url?scp=84974593782&partnerID=8YFLogxK

U2 - 10.1109/TAP.2016.2546964

DO - 10.1109/TAP.2016.2546964

M3 - Article

SN - 0018-926X

VL - 64

SP - 2378

EP - 2388

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 6

ER -