A Theoretical and Computational Study of Upwind-Type Finite Element Methods

Masahisa Tabata

Research output: Contribution to journalArticle

7 Citations (Scopus)


Abstract: Upwind-type finite element methods are studied from both theoretical and computational aspects. Eight schemes are discussed from the points of nonnegativity preserving property and crosswind diffusion. They are also compared by numerical results for a convection dominated model problem.

Original languageEnglish
Pages (from-to)319-356
Number of pages38
JournalStudies in Mathematics and its Applications
Issue numberC
Publication statusPublished - 1986
Externally publishedYes



  • convection-diffusion equation
  • cross-wind diffusion
  • monotone scheme
  • upwind-type finite element method

ASJC Scopus subject areas

  • Applied Mathematics

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