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20132026
most citedAdaptive multiscale model reduction with Generalized Multiscale Finite Element Methods

205 citations · 1.6k across the 115 of their papers we have counts for

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Showing 2015Show all

8 papers · 1 filter

math.NA2015★ 17 cited

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…

math.NA2015

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…

math.NA2015

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…

math.NA2015

Adaptive mixed GMsFEM for flows in heterogeneous media

Ho Yuen Chan, Eric T. Chung, Yalchin Efendiev

In this paper, we present two adaptive methods for the basis enrichment of the mixed Generalized Multiscale Finite Element Method (GMsFEM) for solving the flow problem in heterogen…

math.NA2015★ 4 cited

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…

math.NA2015

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…