Scheduled Talk - February 8, 2010 - [ 3:00PM in DH 1064 ]

Yalchin Efendiev
Department of Mathematics
Texas A&M University

"Coarse-Scale Models for Flows in Multiscale Subsurface Formations and Their Applications"

Abstract:
Processes in heterogeneous porous media have multiple scale solutions. The direct numerical solution of these problems is difficult to obtain due to disparity of scales. It is often desirable to develop a method that captures the small scale effect on the large scales, but does not require resolving all the small scale features. This allows solving detailed fine-scale problems on a coarse grid. In this talk, I will describe some recent advances in developing multiscale finite element methods for flows in strongly heterogeneous porous media. In particular, I will discuss local spectral basis functions and their use in iterative techniques and in approximating the solution on a coarse grid. This is a joint work with Juan Galvis.