期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 190, 期 48, 页码 6359-6372出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/S0045-7825(01)00237-7
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This paper presents a framework for the construction of Galerkin approximations of elliptic boundary-value problems with stochastic input data. A variational formulation is developed which allows, among others, numerical treatment by the finite element method; a theory of a posteriori error estimation and corresponding adaptive approaches based on practical experience can be utilized. The paper develops a foundation for treating stochastic partial differential equations (PDEs) which can be further developed in many directions. (C) 2001 Published by Elsevier Science B.V.
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