ACM Special Seminar

Heterogeneous problems with high contrast, multiscale and possibly also random coefficients arise
frequently in practice, e.g., reservoir simulation and material sciences. However, due to the disparity of
scales, their efficient and accurate simulation is notoriously challenging. First, I will describe some important
applications, and review several state-of-the-art multiscale model reduction algorithms, especially
the Generalized Multiscale Finite Element Method (GMsFEM). Then I will describe recent efforts on
developing a mathematical theory for GMsFEM, and ongoing works on algorithmic developments and
novel applications.