• DocumentCode
    2457970
  • Title

    Lagrange-Galerkin Discontinuous Finite Element Methods for the Navier-Stokes Equations

  • Author

    Yan, Luo ; You-cai, Xu

  • Author_Institution
    Sch. of Math. Sci., Univ. of Electron. Sci. & Technol., Chengdu, China
  • fYear
    2010
  • fDate
    17-19 Dec. 2010
  • Firstpage
    281
  • Lastpage
    284
  • Abstract
    In this paper, Lagrange-Galerkin discontinuous finite element method is introduced for time dependent Navier-Stokes equations. The method is stable for Pl /Pl and Pl /Pl-1, l ≥ 1 combination of discontinuous discrete velocity and pressure spaces (without requiring the discrete inf-sup condition). Optimal error estimates are proved in the framework of L2-theory.
  • Keywords
    Navier-Stokes equations; finite element analysis; numerical stability; Lagrange-Galerkin discontinuous finite element method; Navier-Stokes equation; discontinuous discrete velocity; discontinuous pressure space; optimal error estimation; Approximation methods; Equations; Finite element methods; Moment methods; Navier-Stokes equations; Stability analysis; Lagrange-Galerkin method; Mixed discontinus finite element methods; Navier-Stokes equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational and Information Sciences (ICCIS), 2010 International Conference on
  • Conference_Location
    Chengdu
  • Print_ISBN
    978-1-4244-8814-8
  • Electronic_ISBN
    978-0-7695-4270-6
  • Type

    conf

  • DOI
    10.1109/ICCIS.2010.75
  • Filename
    5709057
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2457970