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An Adaptive High-Order Time Integration Method for Discontinuous Galerkin Time-Domain Methods

  • Pengcheng Zhu
  • , Xiaoping Sun
  • , Yanmei Zhang
  • , He Chen
  • , Lihui Yang
  • , Jiawei Wang
  • Xi'an Jiaotong University
  • Ltd.

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Explicit Discontinuous Galerkin time-domain (DGTD) methods often suffer from tiny time-step sizes induced by the fine meshes for resolving electrically fine structures in multiscale scenarios. In this manuscript, an unconditionally stable time integration method with adaptive high order of accuracy is developed for DGTD methods. The essence of the proposed method is to project the matrix exponential of the time-stepping operators on Krylov subspace to realize model order reduction. The performance of the proposed method over explicit and implicit time integration methods is validated by numerical experiments.

Original languageEnglish
Title of host publication2022 International Applied Computational Electromagnetics Society Symposium, ACES-China 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781665452366
DOIs
StatePublished - 2022
Event2022 International Applied Computational Electromagnetics Society Symposium, ACES-China 2022 - Xuzhou, China
Duration: 9 Dec 202212 Dec 2022

Publication series

Name2022 International Applied Computational Electromagnetics Society Symposium, ACES-China 2022

Conference

Conference2022 International Applied Computational Electromagnetics Society Symposium, ACES-China 2022
Country/TerritoryChina
CityXuzhou
Period9/12/2212/12/22

Keywords

  • Discontinuous Galerkin time-domain (DGTD) methods
  • Krylov subspace
  • matrix exponential

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