3 papers
math.NA2019
Generalized multiscale finite element method for the steady state linear Boltzmann equation
Eric Chung, Yalchin Efendiev, Yanbo Li +1
The Boltzmann equation, as a model equation in statistical mechanics, is used to describe the statistical behavior of a large number of particles driven by the same physics laws. D…
math.NA2018
Space-time multiscale model reduction for transport equations
Eric T. Chung, Yalchin Efendiev, Yanbo Li
In this paper, we propose a space-time GMsFEM for transport equations. Multiscale transport equations occur in many geoscientific applications, which include subsurface transport,…
math.NA2018
Adaptive generalized multiscale finite element methods for H(curl)-elliptic problems with heterogeneous coefficients
Eric T. Chung, Yanbo Li
In this paper, we construct an adaptive multiscale method for solving H(curl)-elliptic problems in highly heterogeneous media. Our method is based on the generalized multiscale fin…