• DocumentCode
    3112836
  • Title

    The optimal convergence analysis for an immersed finite element method

  • Author

    Wang, Shuyan ; Chen, Huanzhen

  • Author_Institution
    Sch. of Math. Sci., Shandong Normal Univ., Jinan, China
  • fYear
    2011
  • fDate
    26-28 March 2011
  • Firstpage
    255
  • Lastpage
    258
  • Abstract
    We present a new proof for optimal-convergence of an immersed interface finite element method based on linear polynomials on non-interface triangular elements and modified linear polynomials on interface triangular elements. Optimal-order error estimates are derived in the broken H1-norm and L2-norm by using the well-known bilinear lemma. The proof seems to be more concise and direct.
  • Keywords
    convergence of numerical methods; finite element analysis; polynomials; bilinear lemma; broken H1 norm; broken L2 norm; immersed interface finite element method; linear polynomial; modified linear polynomial; non-interface triangular element; optimal convergence analysis; optimal order error estimation; Convergence; Finite element methods; Integral equations; Interpolation; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Science and Technology (ICIST), 2011 International Conference on
  • Conference_Location
    Nanjing
  • Print_ISBN
    978-1-4244-9440-8
  • Type

    conf

  • DOI
    10.1109/ICIST.2011.5765248
  • Filename
    5765248
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3112836