Discrepancy between theory and real computation on the stability of some finite element schemes

Masahisa Tabata

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Finite element schemes based on the method of characteristics are considered for the convection-diffusion equation. Those are proved to be stable, but in a real computation some instability occurs. We reveal the cause of the discrepancy between theory and real computation, and present a remedy to the instability.

Original languageEnglish
Pages (from-to)424-431
Number of pages8
JournalJournal of Computational and Applied Mathematics
Volume199
Issue number2
DOIs
Publication statusPublished - 2007 Feb 15
Externally publishedYes

Keywords

  • Characteristic finite element method
  • Convection-diffusion equation
  • Numerical integration error
  • Stability

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

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