Symmetric finite element computation of convection-diffusion equations on a URR machine

Masahisa Tabata, Yoshiichi Ozeki, Hozumi Hamada

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We approximate convection-diffusion equations with irrotational flows by a symmetric finite element formulation. Since very large real numbers appear in this formulation, we realize it on a URR (an internal representation method of real numbers) machine where practically no overflow/underflow occurs. Numerical results show that this formulation is applicable for sufficiently high Peclet number problems and is promising in terms of computation time and storage.

Original languageEnglish
Pages (from-to)153-163
Number of pages11
JournalJapan Journal of Industrial and Applied Mathematics
Volume8
Issue number1
DOIs
Publication statusPublished - 1991 Feb
Externally publishedYes

Keywords

  • convection-diffusion equations
  • finite element method
  • internal representation
  • overflow
  • symmetric scheme

ASJC Scopus subject areas

  • Applied Mathematics
  • Engineering(all)

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