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

Masahisa Tabata; Yoshiichi Ozeki; Hozumi Hamada

doi:10.1007/BF03167190

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

Masahisa Tabata^*, Yoshiichi Ozeki, Hozumi Hamada

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (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 language	English
Pages (from-to)	153-163
Number of pages	11
Journal	Japan Journal of Industrial and Applied Mathematics
Volume	8
Issue number	1
DOIs	https://doi.org/10.1007/BF03167190
Publication status	Published - 1991 Feb
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Applied Mathematics
Engineering(all)

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10.1007/BF03167190

Cite this

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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",

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doi = "10.1007/BF03167190",

language = "English",

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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

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JF - Japan Journal of Industrial and Applied Mathematics

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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