• Title of article

    On solving elliptic stochastic partial differential equations Original Research Article

  • Author/Authors

    Ivo Babuska، نويسنده , , Panagiotis Chatzipantelidis، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2002
  • Pages
    30
  • From page
    4093
  • To page
    4122
  • Abstract
    A model elliptic boundary value problem of second order, with stochastic coefficients described by the Karhunen–Loève expansion is addressed. This problem is transformed into an equivalent deterministic one. The perturbation method and the method of successive approximations is analyzed. Rigorous error estimates in the framework of Sobolev spaces are given.
  • Keywords
    Stochastic partial differential equations , Karhunen–Loève expansion , successive approximations , Numerical solution of partial differential equations
  • Journal title
    Computer Methods in Applied Mechanics and Engineering
  • Serial Year
    2002
  • Journal title
    Computer Methods in Applied Mechanics and Engineering
  • Record number

    892590