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20142026
most citedGeneralized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media

92 citations · 342 across the 35 of their papers we have counts for

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Showing 2018 · math.NAShow all

6 papers · 2 filters

math.NA2018★ 28 cited

Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model

Shubin Fu, Eric Chung, Tina Mai

In this paper, we consider multiscale methods for nonlinear elasticity. In particular, we investigate the Generalized Multiscale Finite Element Method (GMsFEM) for a strain-limitin…

math.NA2018★ 21 cited

Computational Multiscale Methods for Linear Poroelasticity with High Contrast

Shubin Fu, Robert Altmann, Eric T. Chung +3

In this work, we employ the Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) to solve the problem of linear heterogeneous poroelasticity with…

math.NA2018★ 28 cited

Edge Multiscale Methods for elliptic problems with heterogeneous coefficients

Shubin Fu, Eric Chung, Guanglian Li

In this paper, we proposed two new types of edge multiscale methods motivated by \cite{GL18} to solve Partial Differential Equations (PDEs) with high-contrast heterogeneous coeffic…

math.NA2018★ 6 cited

Constraint Energy Minimizing Generalized Multiscale Finite Element Method for high-contrast linear elasticity problem

Shubin Fu, Eric T. Chung

In this paper, we consider the offline and online Constraint Energy Minimizing Generalized Mul- tiscale Finite Element Method (CEM-GMsFEM) for high-contrast linear elasticity probl…

math.NA2018★ 14 cited

A two-grid preconditioner with an adaptive coarse space for flow simulations in highly heterogeneous media

Yanfang Yang, Shubin Fu, Eric T. Chung

In this paper, we consider flow simulation in highly heterogeneous media that has many practical applications in industry. To enhance mass conservation, we write the elliptic probl…

math.NA2018★ 15 cited

Online mixed multiscale finite element method with oversampling and its applications

Yanfang Yang, Shubin Fu, Eric T Chung

In this paper, we consider an online basis enrichment mixed generalized multiscale method with oversampling, for solving flow problems in highly heterogeneous porous media. This is…