• DocumentCode
    2128917
  • Title

    Nonconforming H1-Galerkin mixed finite element method for nonlinear sine-Gordon equations

  • Author

    Fan, Mingzhi ; Wang, Fenling

  • Author_Institution
    Math. & Stat., Xuchang Univ., Xuchang, China
  • fYear
    2012
  • fDate
    21-23 April 2012
  • Firstpage
    2712
  • Lastpage
    2715
  • Abstract
    An H1-Galerkin mixed finite element approximate scheme is proposed with nonconforming quasi-Wilson element for a class of nonlinear sine-Gordon equations. by use of a special property of quasi-Wilson element, i.e. its consistency error is one order higher than the interpolation error, the corresponding optimal error estimates are derived without the generalized elliptic projection which is necessary for classical error estimates of most finite element methods. The scheme is not necessary to satisfy LBB consistency condition.
  • Keywords
    error analysis; finite element analysis; sine-Gordon equation; LBB consistency condition; consistency error; interpolation error; nonconforming H1-Galerkin mixed finite element method; nonconforming quasiWilson element; nonlinear sine-Gordon equations; Convergence; Equations; Error analysis; Finite element methods; Interpolation; Partial differential equations; H1-Galerkin approximate scheme; nonlinear sine-Gordon equations; optimal error estimate; quasi-Wilson element;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Consumer Electronics, Communications and Networks (CECNet), 2012 2nd International Conference on
  • Conference_Location
    Yichang
  • Print_ISBN
    978-1-4577-1414-6
  • Type

    conf

  • DOI
    10.1109/CECNet.2012.6202068
  • Filename
    6202068
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2128917