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

Masahisa Tabata, Shinya Uchiumi

    研究成果: Article

    3 引用 (Scopus)

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    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

    ASJC Scopus subject areas

    • Applied Mathematics
    • Engineering(all)

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