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Articles written by Deb, M.K.

  1. Deb, M.K., Babuska, I.M., and Oden, J.T. "Solution of stochastic partial differential equations using Galerkin finite element techniques" Comput. Methods Appl. Mech. Engrg.. vol. 190. 2001. pp. 6359--6372.

    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