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

Masahisa Tabata, Yoshiichi Ozeki, Hozumi Hamada

Research output: Contribution to journalArticle

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

Fingerprint

Peclet number
Convection-diffusion Equation
Finite Element
Formulation
Overflow
Internal
Numerical Results
Convection

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Engineering(all)

Cite this

Symmetric finite element computation of convection-diffusion equations on a URR machine. / Tabata, Masahisa; Ozeki, Yoshiichi; Hamada, Hozumi.

In: Japan Journal of Industrial and Applied Mathematics, Vol. 8, No. 1, 02.1991, p. 153-163.

Research output: Contribution to journalArticle

Tabata, Masahisa ; Ozeki, Yoshiichi ; Hamada, Hozumi. / Symmetric finite element computation of convection-diffusion equations on a URR machine. In: Japan Journal of Industrial and Applied Mathematics. 1991 ; Vol. 8, No. 1. pp. 153-163.
@article{5aa964fd09364ea691b57df62a32d054,
title = "Symmetric finite element computation of convection-diffusion equations on a URR machine",
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.",
keywords = "convection-diffusion equations, finite element method, internal representation, overflow, symmetric scheme",
author = "Masahisa Tabata and Yoshiichi Ozeki and Hozumi Hamada",
year = "1991",
month = "2",
doi = "10.1007/BF03167190",
language = "English",
volume = "8",
pages = "153--163",
journal = "Japan Journal of Industrial and Applied Mathematics",
issn = "0916-7005",
publisher = "Springer Japan",
number = "1",

}

TY - JOUR

T1 - Symmetric finite element computation of convection-diffusion equations on a URR machine

AU - Tabata, Masahisa

AU - Ozeki, Yoshiichi

AU - Hamada, Hozumi

PY - 1991/2

Y1 - 1991/2

N2 - 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.

AB - 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.

KW - convection-diffusion equations

KW - finite element method

KW - internal representation

KW - overflow

KW - symmetric scheme

UR - http://www.scopus.com/inward/record.url?scp=25144506571&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=25144506571&partnerID=8YFLogxK

U2 - 10.1007/BF03167190

DO - 10.1007/BF03167190

M3 - Article

VL - 8

SP - 153

EP - 163

JO - Japan Journal of Industrial and Applied Mathematics

JF - Japan Journal of Industrial and Applied Mathematics

SN - 0916-7005

IS - 1

ER -