Multiscale analysis and algorithm of transient electromagnetic scattering from heterogeneous materials

Yongwei Zhang, Liqun Cao, Dongyang Shi, Yanping Lin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

The paper is concerned with the multiscale analysis of the scattering problem for three-dimensional time-dependent Maxwell's equations in heterogeneous materials. Firstly, an exact transparent boundary condition is developed to reduce the scattering problem into an initial–boundary value problem in heterogeneous materials. Secondly, the multiscale asymptotic expansions of the solution for the reduced problem and an explicit convergence rate for the approximate solutions are presented. Finally, a multiscale Crank–Nicolson mixed finite element method is proposed where the first-order approximation of the Silver–Müller radiation condition is utilized to truncate infinite domain problems. Numerical experiments are then carried out to validate the theoretical results.

Original languageEnglish
Article number113427
Pages (from-to)1-17
Number of pages17
JournalJournal of Computational and Applied Mathematics
Volume391
DOIs
Publication statusPublished - 1 Aug 2021

Keywords

  • Finite element method
  • Heterogeneous materials
  • The multiscale asymptotic expansion
  • Transient electromagnetic scattering

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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