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

O. Pironneau, M. Tabata

    Research output: Contribution to journalArticle

    24 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)1240-1253
    Number of pages14
    JournalInternational Journal for Numerical Methods in Fluids
    Volume64
    Issue number10-12
    DOIs
    Publication statusPublished - 2010

    Fingerprint

    Stability and Convergence
    Triangulation
    Galerkin
    Finite Element
    Convection-diffusion Problems
    Acute
    Convergence Results
    Robustness
    Norm
    Numerical Examples
    Convection

    Keywords

    • Convection-diffusion equation
    • Galerkin-characteristics FEM
    • Lamped mass approximation
    • Stability and convergence

    ASJC Scopus subject areas

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

    Cite this

    Stability and convergence of a Galerkin-characteristics finite element scheme of lumped mass type. / Pironneau, O.; Tabata, M.

    In: International Journal for Numerical Methods in Fluids, Vol. 64, No. 10-12, 2010, p. 1240-1253.

    Research output: Contribution to journalArticle

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