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

Masahisa Tabata

研究成果: Article査読

10 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)424-431
ページ数8
ジャーナルJournal of Computational and Applied Mathematics
199
2
DOI
出版ステータスPublished - 2007 2 15
外部発表はい

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

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