Results 41 to 50 of about 190 (85)
In this paper, we apply the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) to first solving a nonlinear poroelasticity problem.
Fu, Shubin, Mai, Tina, Chung, Eric
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In fluid flow simulation, the multi-continuum model is a useful strategy. When the heterogeneity and contrast of coefficients are high, the system becomes multiscale, and some kinds of reduced-order methods are demanded.
Mai, Tina +2 more
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Randomized Oversampling for Generalized Multiscale Finite Element Methods [PDF]
In this paper, we develop efficient multiscale methods for flows in heterogeneous media. We use the generalized multiscale finite element (GMsFEM) framework. GMsFEM approximates the solution space locally using a few multiscale basis functions.
Calo, Victor M. +8 more
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Generalized multiscale finite elements for simulation of elastic-wave propagation in fractured media
We applied the generalized multiscale finite-element method (GMsFEM) to simulate seismic wave propagation in fractured media. Fractures are represented explicitly on a fine-scale triangular mesh, and they are incorporated using the linear-slip model ...
Richard L. Gibson +3 more
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Numerical simulation of seismic wave propagation is widely employed to characterize petroleum reservoirs and complex geological structures. Conventional numerical wave equation simulation methods can become prohibitively expensive for large geological ...
Zhang, Xinyi
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Some Applications of the Generalized Multiscale Finite Element Method [PDF]
Many materials in nature are highly heterogeneous and their properties can vary at different scales. Direct numerical simulations in such multiscale media are prohibitively expensive and some types of model reduction are needed.
Fu, Shubin
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Generalized multiscale finite element methods: Oversampling strategies
In this paper, we propose oversampling strategies in the generalized multiscale finite element method (GMsFEM) framework. The GMsFEM, which has been recently introduced in Efendiev et al. (2013b) [Generalized Multiscale Finite Element Methods, J. Comput.
Presho, Michael +4 more
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In this paper, we develop a multiscale finite element method for solving flows in fractured media. Our approach is based on generalized multiscale finite element method (GMsFEM), where we represent the fracture effects on a coarse grid via multiscale ...
Yao, Jun +5 more
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Global-Local Nonlinear Model Reduction for Flows in Heterogeneous Porous Media
In this paper, we combine discrete empirical interpolation techniques, global mode decomposition methods, and local multiscale methods, such as the Generalized Multiscale Finite Element Method (GMsFEM), to reduce the computational complexity associated ...
Calo, Victor M. +15 more
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Multiscale Method for Elastic Wave Propagation in the Heterogeneous, Anisotropic Media [PDF]
Seismic wave simulation in realistic Earth media with full wavefield methods is a fundamental task in geophysical studies. Conventional approaches such as the finite-difference method and the finite-element method solve the wave equation in geological ...
Gao, Kai
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