• DocumentCode
    3112512
  • Title

    An immersed finite element method for anisotropic flow models in porous medium

  • Author

    Zhang, Ruigang ; Chen, Huanzhen

  • Author_Institution
    Sch. of Math. Sci., Shandong Normal Univ., Jinan, China
  • fYear
    2011
  • fDate
    26-28 March 2011
  • Firstpage
    168
  • Lastpage
    175
  • Abstract
    In this paper we develop an immersed interface finite element method for a kind of anisotropy diffusion models governed by the elliptic interface problems with discontinuous tensor-coefficients. The method is based on linear polynomials on non-interface triangular elements and piecewise linear polynomials on interface triangular elements. The flux jump condition is weakly enforced on the smooth interface. Optimal error estimates are derived in the broken H1-norm and L2-norm.
  • Keywords
    anisotropic media; boundary layers; diffusion; finite element analysis; flow through porous media; polynomials; H1-norm; L2-norm; anisotropic flow models; anisotropy diffusion models; discontinuous tensor-coefficients; elliptic interface problems; flux jump condition; immersed finite element method; noninterface triangular elements; optimal error estimates; piecewise linear polynomials; porous medium; Manganese; Silicon compounds;
  • 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.2011.5765232
  • Filename
    5765232
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3112512