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
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