Speaker: M. Sarkis
Affiliation: WPI and IMPA/Brazil
Talk Title: Finite element approximations of the Darcy's equation in random porous media
Invited by: George Karniadakis
Time: Oct. 23 2009 11 a.m.
Location: 182 George Street, Room 110
Abstract:
In this talk we consider a stochastic Darcy's pressure equation with random permeability and random right-hand side forcing term. I will discuss an infinity-dimensional Petrov-Galerkin framework to accommodate the lack of ellipticity and singular forcing terms. The framework unify both representations of permeability stochastic fields based on KL or on convolution kernels. We present continuous and discrete inf-sup conditions, well-posedness, a priori error estimations and numerical experiments.
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