Error estimates of a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations

Hirofumi Notsu, Masahisa Tabata

    研究成果: Article査読

    13 被引用数 (Scopus)

    抄録

    Error estimates with optimal convergence orders are proved for a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations. The scheme is a combination of Lagrange-Galerkin method and Brezzi-Pitkaranta's stabilization method. It maintains the advantages of both methods; (i) It is robust for convection-dominated problems and the system of linear equations to be solved is symmetric. (ii) Since the P1 finite element is employed for both velocity and pressure, the number of degrees of freedom is much smaller than that of other typical elements for the equations, e.g., P2/P1. Therefore, the scheme is efficient especially for three-dimensional problems. The theoretical convergence orders are recognized numerically by two- and three-dimensional computations.

    本文言語English
    ページ(範囲)361-380
    ページ数20
    ジャーナルMathematical Modelling and Numerical Analysis
    50
    2
    DOI
    出版ステータスPublished - 2016 3 1

    ASJC Scopus subject areas

    • Analysis
    • Numerical Analysis
    • Modelling and Simulation
    • Applied Mathematics

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