Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics

S. Abarbanel, D. Gottlieb, J. S. Hesthaven

Research output: Contribution to journalArticlepeer-review

94 Scopus citations

Abstract

We investigate the long time behavior of two unsplit PML methods for the absorption of electromagnetic waves, Computations indicate that both methods suffer from a temporal instability after the fields reach a quiescent state. The analysis reveals that the source of the instability is the undifferentiated terms of the PML equations and that it is associated with a degeneracy of the quiescent systems of equations. This highlights why the instability occurs in special cases only and suggests a remedy to stabilize the PML by removing the degeneracy. Computational results confirm the stability of the modified equations and is used to address the efficacy of the modified schemes for absorbing waves.

Original languageEnglish
Pages (from-to)405-422
Number of pages18
JournalJournal of Scientific Computing
Volume17
Issue number1-4
DOIs
StatePublished - Dec 2002
Externally publishedYes

Keywords

  • Computational electromagnetics
  • PML
  • Stability

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