Marching on-in-time solution of the time domain magnetic field integral equation using a predictor-corrector scheme
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Center for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)
Electrical Engineering Program
Computational Electromagnetics Laboratory
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AbstractAn explicit marching on-in-time (MOT) scheme for solving the time-domain magnetic field integral equation (TD-MFIE) is presented. The proposed MOT-TD-MFIE solver uses Rao-Wilton-Glisson basis functions for spatial discretization and a PE(CE)m-type linear multistep method for time marching. Unlike previous explicit MOT-TD-MFIE solvers, the time step size can be chosen as large as that of the implicit MOT-TD-MFIE solvers without adversely affecting accuracy or stability. An algebraic stability analysis demonstrates the stability of the proposed explicit solver; its accuracy and efficiency are established via numerical examples. © 1963-2012 IEEE.
SponsorsThis work was supported in part by an Academic Excellence Alliance (AEA) program award from King Abdullah University of Science and Technology (KAUST) Global Collaborative Research (GCR) under the title Energy Efficient Photonic and Spintronic Devices.