A genuinely stable Lagrange–Galerkin scheme for convection-diffusion problems

Masahisa Tabata, Shinya Uchiumi

    研究成果: Article

    3 引用 (Scopus)

    抄録

    We present a Lagrange–Galerkin scheme free from numerical quadrature for convection-diffusion problems. Since the scheme can be implemented exactly as it is, theoretical stability result is assured. While conventional Lagrange–Galerkin schemes may encounter the instability caused by numerical quadrature error, the present scheme is genuinely stable. For the (Formula presented.) -element we prove error estimates of (Formula presented.) in (Formula presented.) -norm and of (Formula presented.) in (Formula presented.) -norm. Numerical results reflect these estimates.

    元の言語English
    ページ(範囲)121-143
    ページ数23
    ジャーナルJapan Journal of Industrial and Applied Mathematics
    33
    発行部数1
    DOI
    出版物ステータスPublished - 2016 2 1

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    Convection-diffusion Problems
    Numerical Quadrature
    Norm
    Error Estimates
    Convection
    Numerical Results
    Estimate

    ASJC Scopus subject areas

    • Applied Mathematics
    • Engineering(all)

    これを引用

    A genuinely stable Lagrange–Galerkin scheme for convection-diffusion problems. / Tabata, Masahisa; Uchiumi, Shinya.

    :: Japan Journal of Industrial and Applied Mathematics, 巻 33, 番号 1, 01.02.2016, p. 121-143.

    研究成果: Article

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