• Title of article

    Error estimates of the DtN finite element method for the exterior Helmholtz problem

  • Author/Authors

    Koyama، نويسنده , , Daisuke، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2007
  • Pages
    11
  • From page
    21
  • To page
    31
  • Abstract
    A priori error estimates are established for the DtN (Dirichlet-to-Neumann) finite element method applied to the exterior Helmholtz problem. The error estimates include the effect of truncation of the DtN boundary condition as well as that of the finite element discretization. A property of the Hankel functions which plays an important role in the proof of the error estimates is introduced.
  • Keywords
    Drichlet-to-Neumann operator , A priori error estimate , Finite element method , Artificial boundary condition , Exterior Helmholtz problem
  • Journal title
    Journal of Computational and Applied Mathematics
  • Serial Year
    2007
  • Journal title
    Journal of Computational and Applied Mathematics
  • Record number

    1553641