Results 51 to 60 of about 459 (70)

CEM-GMsFEM for Poisson Equations in Heterogeneous Perforated Domains

Multiscale Modeling & Simulation
In this paper, we propose a novel multiscale model reduction strategy tailored to address the Poisson equation within heterogeneous perforated domains. The numerical simulation of this intricate problem is impeded by its multiscale characteristics, necessitating an exceptionally fine mesh to adequately capture all relevant details.
Wei Xie, Yin Yang, Eric Chung, Yunqing Huang   +3 more
openaire   +2 more sources

Constraint Energy Minimizing Generalized Multiscale Finite Element Method

, 2017
The main goal of this paper is to design multiscale basis functions within GMsFEM framework such that the convergence of method is independent of the contrast and linearly decreases with respect to mesh size if oversampling size is appropriately chosen ...
Chung, Eric T., Efendiev, Yalchin, Leung, Wing Tat   +2 more
core   +1 more source

Sparse Generalized Multiscale Finite Element Methods and their applications

, 2015
In a number of previous papers, local (coarse grid) multiscale model reduction techniques are developed using a Generalized Multiscale Finite Element Method.
Chung, Eric, Efendiev, Yalchin, Leung, Wing Tat, Li, Guanglian   +3 more
core   +1 more source

Cluster-based Generalized Multiscale Finite Element Method for elliptic PDEs with random coefficients

, 2017
We propose a generalized multiscale finite element method (GMsFEM) based on clustering algorithm to study the elliptic PDEs with random coefficients in the multi-query setting. Our method consists of offline and online stages.
Chung, Eric T., Efendiev, Yalchin, Leung, Wing Tat, Zhang, Zhiwen   +3 more
core   +1 more source

Prediction of discretization of online GMsFEM using deep learning for Richards equation

Journal of Computational and Applied Mathematics
We develop a new coarse-scale approximation strategy for the nonlinear single-continuum Richards equation as an unsaturated flow over heterogeneous non-periodic media, using the online generalized multiscale finite element method (online GMsFEM) together with deep learning.
Denis Spiridonov, Sergei Stepanov, Tina Mai   +2 more
openaire   +3 more sources

A Randomized GMsFEM with Data-Driven Predictors for Parametric Flow Problems in Multiscale Heterogeneous Media

In this paper, we propose a randomized generalized multiscale finite element method (Randomized GMsFEM) for flow problems with parameterized inputs and high-contrast heterogeneous media. The method employs a data-driven predictor to construct multiscale basis functions in two stages: offline and online.
Leung, Wing Tat, Li, Qiuqi, Liu, Songwei
openaire   +2 more sources

Profile of Thomas Y. Hou. [PDF]

Proc Natl Acad Sci U S A
Viegas J.
europepmc   +1 more source

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Space-time GMsFEM for transport equations

GEM - International Journal on Geomathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yalchin Efendiev, Eric Chung
exaly   +3 more sources

Goal-oriented adaptivity of mixed GMsFEM for flows in heterogeneous media

Computer Methods in Applied Mechanics and Engineering, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eric Chung, Sai-Mang Pun
exaly   +3 more sources

Multiscale modeling of wave propagation with exponential integration and GMsFEM

Communications in Nonlinear Science and Numerical Simulation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yunqing Huang
exaly   +3 more sources