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Infinite-dimensional stochastic Darcy equations, finite-dimensional Petrov-Galerkin approximations and a priori error estimates

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Prof. Marcus Sarkis (University Worcester), 14 June 2010, 10 a.m., BA9909
When Jun 14, 2010
from 10:00 AM to 11:15 AM
Where BA9909
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In this talk we consider a stochastic Darcy's pressure equation with random log-normal permeability and random right-hand side. To accommodate the lack of ellipticity and continuity, and singular right-hand sides, we introduce an appropriate representation of the permeability stochastic fields and infinite-dimensional norms and spaces. We then introduce new continuous and discrete weak formulations based on a Petrov-Galerkin strategy and present inf-sup conditions, well-posedness, a priori error estimations and numerical experiments.