Conservative Upwind Finite Element Approximation and Its Applications

Masahisa Tabata

研究成果: Article査読

5 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)369-381
ページ数13
ジャーナルNorth-Holland Mathematics Studies
47
C
DOI
出版ステータスPublished - 1981
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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