Mobil Chair in Computational Science
Professor of Mathematics
Director of Institute for Scientific Computation (ISC)
Texas A&M University
Director of Numerical Porous Media SRI Center
King Abdullah University of Science and Technology, Saudi Arabia
"Multiscale Model Reduction Techniques for Flows in Heterogeneous Porous Media"
Many porous media problems have multiscale nature. Due to disparity of scales, the simulations of these problems are prohibitively expensive. Some types of upscaling or model reduction techniques are needed to solve many of these multiscale problems. In this talk, we will discuss some known techniques that are used for problems with scale separation and focus on Generalized Multiscale Finite Element Method (GMsFEM) that has been recently proposed for solving problems with non-separable scales and high contrast. The main objective of the method is to provide local reduced-order approximations for linear and nonlinear PDEs via multiscale spaces on a coarse computational grid. In the talk, we will briefly discuss some main concepts of constructing multiscale spaces and applications of GMsFEMs.
Shell Lectures Series are made possible through the generous support of the Shell Oil Company.