Results 51 to 60 of about 258 (83)
Multiscale modeling for problems with high contrast heterogeneous coefficients by the CEM-GMsFEM
This review paper provides a comprehensive overview of the Constrained Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) for solving elliptic PDEs characterized by highly heterogeneous, high-contrast coefficients. We detail the construction of multiscale basis functions via spectral auxiliary spaces, combined with an ...
Chung, Eric T. +4 more
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, 2015 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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Multiscale Methods for Flow Problems in Heterogeneous Porous Media
, 2021 In this thesis, we investigate multiscale methods for flows problems in heterogeneous porous media. Accurately solving these kinds of flows demands fine resolution representation, and this requires many extra degree of freedoms, which is indeed ...
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Multiscale model reduction for transport and flow problems in perforated domains
, 2018 Convection-dominated transport phenomenon is important for many applications. In these applications, the transport velocity is often a solution of heterogeneous flow problems, which results to a coupled flow and transport phenomena.
Wing Tat Leung +7 more
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We develop a multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM) for constructing coarse-scale models in heterogeneous media that simultaneously provide accurate numerical approximations and physically consistent macroscopic equations.
Kobaisi, Mohammed Al +3 more
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Multiscale Method for Elastic Wave Propagation in the Heterogeneous, Anisotropic Media
, 2014 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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Randomized oversampling for generalized multiscale finite element methods
, 2016 In this paper, we develop efficient multiscale methods for ows in heterogeneous media. We use the generalized multiscale finite element (GMsFEM) framework. GMsFEM approxi- mates the solution space locally using a few multiscale basis functions.
J. Galvis (23318872) +3 more
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Multiscale methods for wave propagation in materials with sign-changing coefficients
International audienceFrom a mathematical perspective, the extraordinary properties of metamaterials are often reflected in the coefficients of the governing partial differential equations (PDEs).
Ciarlet, Patrick +3 more
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Multiscale modeling for a class of high-contrast heterogeneous sign-changing problems
The mathematical formulation of sign-changing problems involves a linear second-order partial differential equation in the divergence form, where the coefficient can assume positive and negative values in different subdomains.
Ciarlet, Patrick +3 more
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