| Speaker: | Juan Galvis, Texas A&M University |
| Title: | Domain Decomposition Analysis for Heterogeneous Darcy's Flow |
| Time: | 3:00-4:00 pm |
| Place: | Blocker 627 |
This work focuses on finite element and domain decomposition applications to three mathematical models related to fluid flow in porous media.
The first model considered is the Darcy-Stokes coupling. We study the well posedness of the continuous model. We introduce a discretization, obtain the well posedness of the discrete model and derive a priori error estimates. We also design and analyze two domain decomposition preconditioners. The second model is the pressure equation with discontinuous coefficients. Here we design and analyze several domain decomposition preconditioners for the resulting linear system of a Discontinuous Galerkin type discretization.
The third subject is the study of the stochastic pressure equation. We use the white noise measure to define and characterize adequate spaces for its solution. The approximation consists of a truncated Chaos expansion. We provide a priori error estimates. In all cases numerical experiments verify the theoretical results. I will present the first part of the work and if time allows i will make some comments on the other two models.
Last revised: 09/05/08 By: abnersg@math