Stability and convergence of a Galerkin-characteristics finite element scheme of lumped mass type

O. Pironneau, M. Tabata

    研究成果: Article査読

    25 被引用数 (Scopus)

    抄録

    A Galerkin-characteristics finite element scheme of lumped mass type is presented for the convection-diffusion problems. Under the weakly acute triangulation hypothesis the scheme is proved to be stable and convergent in the L-norm. Using the Freefem, we show 2D and 3D numerical examples, which reflect the robustness of the scheme and the theoretical convergence result.

    本文言語English
    ページ(範囲)1240-1253
    ページ数14
    ジャーナルInternational Journal for Numerical Methods in Fluids
    64
    10-12
    DOI
    出版ステータスPublished - 2010

    ASJC Scopus subject areas

    • Computer Science Applications
    • Computational Mechanics
    • Applied Mathematics
    • Mechanical Engineering
    • Mechanics of Materials

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