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20182023
most citedComputational multiscale methods for quasi-gas dynamic equations

24 citations · 102 across the 16 of their papers we have counts for

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Showing 2018 · math.NAShow all

5 papers · 2 filters

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★ 4 cited

Online basis construction for goal-oriented adaptivity in the Generalized Multiscale Finite Element Method

Eric T. Chung, Sara Pollock, Sai-Mang Pun

In this research, we develop an online enrichment framework for goal-oriented adaptivity within the generalized multiscale finite element method for flow problems in heterogeneous…

math.NA2018

An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations

Eric T. Chung, Sai-Mang Pun, Zhiwen Zhang

In this paper, we propose a dynamically low-dimensional approximation method to solve a class of time-dependent multiscale stochastic diffusion equations. A dynamically bi-orthogon…

math.NA2018

Online adaptive basis enrichment for mixed CEM-GMsFEM

Eric T. Chung, Sai-Mang Pun

In this research, an online basis enrichment strategy for the constraint energy minimizing generalized multiscale finite element method in mixed formulation is proposed. The online…

math.NA2018

Computational multiscale methods for linear heterogeneous poroelasticity

Robert Altmann, Eric Chung, Roland Maier +2

We consider a strongly heterogeneous medium saturated by an incompressible viscous fluid as it appears in geomechanical modeling. This poroelasticity problem suffers from rapidly o…