Mk. Deb et al., Solution of stochastic partial differential equations using Galerkin finite element techniques, COMPUT METH, 190(48), 2001, pp. 6359-6372
Citations number
14
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
This paper presents a framework for the construction of Galerkin approximat
ions of elliptic boundary-value problems with stochastic input data. A vari
ational formulation is developed which allows, among others, numerical trea
tment by the finite element method; a theory of a posteriori error estimati
on and corresponding adaptive approaches based on practical experience can
be utilized. The paper develops a foundation for treating stochastic partia
l differential equations (PDEs) which can be further developed in many dire
ctions. (C) 2001 Published by Elsevier Science B.V.