202 citations · 748 across the 55 of their papers we have counts for
6 papers · 1 filter
Multiscale stabilization for convection-dominated diffusion in heterogeneous media
Victor M. Calo, Eric T. Chung, Yalchin Efendiev +1
We develop a Petrov-Galerkin stabilization method for multiscale convection-diffusion transport systems. Existing stabilization techniques add a limited number of degrees of freedo…
Goal-oriented adaptivity for GMsFEM
Eric T. Chung, Wing Tat Leung, Sara Pollock
In this paper we develop two goal-oriented adaptive strategies for a posteriori error estimation within the generalized multiscale finite element framework. In this methodology, on…
Mixed GMsFEM for the simulation of waves in highly heterogeneous media
Eric T. Chung, Wing Tat Leung
Numerical simulations of waves in highly heterogeneous media have important applications, but direct computations are prohibitively expensive. In this paper, we develop a new gener…
Sparse Generalized Multiscale Finite Element Methods and their applications
Eric Chung, Yalchin Efendiev, Wing Tat Leung +1
In a number of previous papers, local (coarse grid) multiscale model reduction techniques are developed using a Generalized Multiscale Finite Element Method. In these approaches, m…
An online generalized multiscale discontinuous Galerkin method (GMsDGM) for flows in heterogeneous media
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
Offline computation is an essential component in most multiscale model reduction techniques. However, there are multiscale problems in which offline procedure is insufficient to gi…
Residual-driven online Generalized Multiscale Finite Element Methods
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
The construction of local reduced-order models via multiscale basis functions has been an area of active research. In this paper, we propose online multiscale basis functions which…