Results 11 to 20 of about 102 (56)
Re-iterated multiscale model reduction using the GMsFEM [PDF]
, 2016 Numerical homogenization and multiscale finite element methods construct effective properties on a coarse grid by solving local problems and extracting the average effective properties from these local solutions. In some cases, the solutions of local problems can be expensive to compute due to scale disparity. In this setting, one can basically apply a
Eric T. Chung +3 more
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Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media [PDF]
Journal of Computational Physics, 2015 It is important to develop fast yet accurate numerical methods for seismic wave propagation to characterize complex geological structures and oil and gas reservoirs. However, the computational cost of conventional numerical modeling methods, such as finite-difference method and finite-element method, becomes prohibitively expensive when applied to very
Kai Gao +4 more
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Online Adaptive Basis Enrichment for Mixed CEM-GMsFEM [PDF]
Multiscale Modeling & Simulation, 2019 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 approach is based on the technique of oversampling. One makes use of the information of residual and the data in the partial differential equation such as the source ...
Eric T. Chung, Sai-Mang Pun
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On the Convergence Rates of GMsFEMs for Heterogeneous Elliptic Problems Without Oversampling Techniques [PDF]
Multiscale Modeling & Simulation, 2019 This work is concerned with the rigorous analysis on the Generalized Multiscale Finite Element Methods (GMsFEMs) for elliptic problems with high-contrast heterogeneous coefficients. GMsFEMs are popular numerical methods for solving flow problems with heterogeneous high-contrast coefficients, and it has demonstrated extremely promising numerical results
Guanglian Li
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Adaptive Mixed GMsFEM for Flows in Heterogeneous Media [PDF]
Numerical Mathematics: Theory, Methods and Applications, 2016 AbstractIn 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 heterogeneous media. We develop an a-posteriori error indicator which depends on the norm of a local residual operator.
Ho Yuen Chan +2 more
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CEM-GMsFEM for Poisson equations in heterogeneous perforated domains [PDF]
Multiscale Modeling & SimulationIn 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 +3 more
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An adaptive GMsFEM for high-contrast flow problems [PDF]
Journal of Computational Physics, 2014 26 ...
Eric T. Chung +2 more
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Mixed GMsFEM for linear poroelasticity problems in heterogeneous porous media [PDF]
Journal of Computational and Applied Mathematics, 2021 Accurate numerical simulations of interaction between fluid and solid play an important role in applications. The task is challenging in practical scenarios as the media are usually highly heterogeneous with very large contrast. To overcome this computational challenge, various multiscale methods are developed.
Xia Wang +3 more
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Prediction of discretization of online GMsFEM using deep learning for Richards equation [PDF]
Journal of Computational and Applied MathematicsWe 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 +2 more
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Multiscale Modeling of Wave Propagation with Exponential Integration and Gmsfem
Communications in Nonlinear Science and Numerical SimulationzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei Xie +3 more
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