Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients

Masahisa Tabata, Daisuke Tagami

研究成果: Contribution to journalArticle

18 引用 (Scopus)

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General error estimates are proved for a class of finite element schemes for nonstationary thermal convection problems with temperature-dependent coefficients. These variable coefficients turn the diffusion and the buoyancy terms to be nonlinear, which increases the nonlinearity of the problems. An argument based on the energy method leads to optimal error estimates for the velocity and the temperature without any stability conditions. Error estimates are also provided for schemes modified by approximate coefficients, which are used conveniently in practical computations.

元の言語英語
ページ(範囲)351-372
ページ数22
ジャーナルNumerische Mathematik
100
発行部数2
DOI
出版物ステータス出版済み - 4 1 2005

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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