A Parallel-in-Space-and-Time Method for Transient Electromagnetic Problems

Shu Wang, Yang Shao, Zhen Peng

Research output: Contribution to journalArticlepeer-review


This paper aims to address a growing need for space-time parallel simulation capability in solving transient electromagnetic (EM) problems. Currently, time-domain (TD) EM solvers are typically parallel in space. The sequential-in-time nature of these solvers can achieve good parallel scaling when the number of spatial mesh points per core is large. However, the parallel efficiency quickly deteriorates and even saturates if spatial parallelism has been fully exploited. We propose a new TD method to harvest parallelism in both spatial and temporal dimensions. The objective is obtained through the investigation of space-time domain decomposition formulation and rational Krylov approximation of TD Green's function. The improved parallel performance over space-only parallel TD solvers is illustrated by numerical examples.

Original languageEnglish (US)
Article number8684913
Pages (from-to)3961-3973
Number of pages13
JournalIEEE Transactions on Antennas and Propagation
Issue number6
StatePublished - Jun 2019
Externally publishedYes


  • Domain decomposition
  • parallel-in-time
  • rational Krylov subspace method
  • time domain (TD)

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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