A general approach for the stability analysis of the time-domain finite-element method for electromagnetic simulations

Dan Jiao, Jian Ming Jin

Research output: Contribution to journalArticle

Abstract

This paper presents a general approach for the stability analysis of the time-domain finite-element method (TDFEM) for electromagnetic simulations. Derived from the discrete system analysis, the approach determines the stability by analyzing the root-locus map of a characteristic equation and evaluating the spectral radius of the Unite element system matrix. The approach is applicable to the TDFEM simulation involving dispersive media and to various temporal discretization schemes such as the central difference, forward difference, backward difference, and Newmark methods. It is shown that the stability of the TDFEM is determined by the material property and by the temporal and spatial discretization schemes. The proposed approach is applied to a variety of TDFEM schemes, which include: 1) time-domain finite-element modeling of dispersive media; 2) time-domain finite element-boundary integral method; 3) higher order TDFEM; and 4) orthogonal TDFEM. Numerical results demonstrate the validity of the proposed approach for stability analysis.

Original languageEnglish (US)
Pages (from-to)1624-1632
Number of pages9
JournalIEEE Transactions on Antennas and Propagation
Volume50
Issue number11
DOIs
StatePublished - Nov 1 2002

Keywords

  • Finite-element methods (FEM)
  • Numerical analysis
  • Numerical stability
  • Time-domain analysis
  • Transient analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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