NUMERICAL ALGORITHM FOR AN UPWIND-TYPE FINITE ELEMENT METHOD USING EXPONENTIAL FUNCTIONS.

Masahisa Tabata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

A new upwind-type finite element scheme is proposed for convection-diffusion problems in irrotational flows. It is derived from a minimization problem in a function space weighted by an exponential function. This scheme preserves the positivity of solutions and is regarded as a natural extension of Il'in's scheme to higher dimensional problems. Some numerical results are also shown.

Original languageEnglish
Title of host publicationTheoretical and Applied Mechanics
Place of PublicationTokyo, Jpn
PublisherUniv of Tokyo Press
Pages371-376
Number of pages6
Volume34
ISBN (Print)0860083934
Publication statusPublished - 1986
Externally publishedYes

Fingerprint

Exponential functions
Finite element method
Convection

ASJC Scopus subject areas

  • Mechanics of Materials

Cite this

Tabata, M. (1986). NUMERICAL ALGORITHM FOR AN UPWIND-TYPE FINITE ELEMENT METHOD USING EXPONENTIAL FUNCTIONS. In Theoretical and Applied Mechanics (Vol. 34, pp. 371-376). Tokyo, Jpn: Univ of Tokyo Press.

NUMERICAL ALGORITHM FOR AN UPWIND-TYPE FINITE ELEMENT METHOD USING EXPONENTIAL FUNCTIONS. / Tabata, Masahisa.

Theoretical and Applied Mechanics. Vol. 34 Tokyo, Jpn : Univ of Tokyo Press, 1986. p. 371-376.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Tabata, M 1986, NUMERICAL ALGORITHM FOR AN UPWIND-TYPE FINITE ELEMENT METHOD USING EXPONENTIAL FUNCTIONS. in Theoretical and Applied Mechanics. vol. 34, Univ of Tokyo Press, Tokyo, Jpn, pp. 371-376.
Tabata M. NUMERICAL ALGORITHM FOR AN UPWIND-TYPE FINITE ELEMENT METHOD USING EXPONENTIAL FUNCTIONS. In Theoretical and Applied Mechanics. Vol. 34. Tokyo, Jpn: Univ of Tokyo Press. 1986. p. 371-376
Tabata, Masahisa. / NUMERICAL ALGORITHM FOR AN UPWIND-TYPE FINITE ELEMENT METHOD USING EXPONENTIAL FUNCTIONS. Theoretical and Applied Mechanics. Vol. 34 Tokyo, Jpn : Univ of Tokyo Press, 1986. pp. 371-376
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