Conservative Upwind Finite Element Approximation and Its Applications

Masahisa Tabata

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We present a finite element approximation which is effective for diffusion problems with dominated non-linear convection terms. This approximation is conservative and of upwind type. We analyse it in connection with L2 -theory, L1 -contraction and monotonicity. As an application we consider a non-linear elliptic problem and give error analysis. In the process the existence of the exact solution is also proved.

Original languageEnglish
Pages (from-to)369-381
Number of pages13
JournalNorth-Holland Mathematics Studies
Volume47
Issue numberC
DOIs
Publication statusPublished - 1981
Externally publishedYes

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Nonlinear Elliptic Problems
Diffusion Problem
Finite Element Approximation
Error Analysis
Convection
Monotonicity
Contraction
Exact Solution
Term
Approximation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Conservative Upwind Finite Element Approximation and Its Applications. / Tabata, Masahisa.

In: North-Holland Mathematics Studies, Vol. 47, No. C, 1981, p. 369-381.

Research output: Contribution to journalArticle

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