Björn Engquist: The Heterogeneous Multiscale Method

The Heterogeneous Multiscale Method (HMM) is a methodology for coupling numerical simulations of different scales. A macroscale model approximating the homogenized problem gets microscale data from detailed computations on smaller subsets of the full domain. We will consider both averaging of multiscale dynamical systems and partial differential equations. Analysis of HMM convergence and various applications will be presented.