报告题目：Nonlocal Multi-continua upscaling
In this talk, we present a rigorous and accurate non-local (in the oversampled region) upscaling framework. Our proposed method consists of identifying multi-continua parameters via local basis functions and constructing non-local (in the oversampled region) transfer and effective properties. To achieve this, we derive appropriate local problems in oversampled regions once we identify important modes representing each continua. We use piecewise constant functions in each fracture network and in the matrix to write an upscaled equation. Thus, the resulting upscaled equation is of minimal size and the unknowns are average pressures in the fractures and the matrix. We present numerical results, which show that the proposed approach can provide good accuracy.
Dr. Chung got his Ph.D from University of California, Los Angeles at 2005. He worked as a visiting assistant professor at University of California, Irvine from 2005 to 2006, and started the assistant professorship at the Chinese University of Hong Kong then. He is now a full professor of the Chinese University of Hong Kong. His research interests include Generalized multiscale finite element methods, Multiscale methods for high-contrast multiscale flow and geophysical wave problems, Multiscale model reduction for fractured media and perforated domains, Nonlinear upscaling methods for nonlinear heterogeneous problems, Computational fluid flow and wave propagation, and Discontinuous Galerkin methods. He published more than 98 peer reviewed journal papers and was invited to give more than 50 talks and seminars in many conferences, universities and institutes around the world. He served as Associate Editor for Journal of Computational and Applied Mathematics, GEM - International Journal on Geomathematics, and Computers & Mathematics with Applications. He was honored with Young Scholar Award by the Hong Kong Mathematical Society in 2017.