Results 1 to 10 of about 459 (70)
Generalized Multiscale Finite Element Method for Elasticity Equations
, 2014 In this paper, we discuss the application of Generalized Multiscale Finite Element Method (GMsFEM) to elasticity equation in heterogeneous media. Our applications are motivated by elastic wave propagation in subsurface where the subsurface properties can
Chung, Eric T. +2 more
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Edge Multiscale Methods for elliptic problems with heterogeneous coefficients
, 2018 In this paper, we proposed two new types of edge multiscale methods motivated by \cite{GL18} to solve Partial Differential Equations (PDEs) with high-contrast heterogeneous coefficients: Edge spectral multiscale Finte Element method (ESMsFEM) and Wavelet-
Chung, Eric, Fu, Shubin, Li, Guanglian
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Mixed GMsFEM for the simulation of waves in highly heterogeneous media
Journal of Computational and Applied Mathematics, 2016 Numerical simulations of waves in highly heterogeneous media have important applications, but direct computations are prohibitively expensive. In this paper, we develop a new generalized multiscale finite element method with the aim of simulating waves at a much lower cost.
Chung, Eric T., Leung, Wing Tat
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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
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Non-local Multi-continua Upscaling for Flows in Heterogeneous Fractured Media
, 2017 In this paper, we propose a rigorous and accurate non-local (in the oversampled region) upscaling framework based on some recently developed multiscale methods [10].
Chung, Eric T. +4 more
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Re-iterated multiscale model reduction using the GMsFEM
, 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
Chung, Eric T. +3 more
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ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications
, 2016 Engineers manually optimizing a structure using Finite Element based simulation software often employ an iterative approach where in each iteration they change the structure slightly and resimulate.
Buhr, Andreas +3 more
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GMsFEM on unstructured grids for single-phase flow in fractured porous media
Journal of Physics: Conference Series, 2019 Abstract In this work, we consider an unstructured Generalized Multiscale Finite Element Method (GMsFEM) for solution of the filtration problem in a fractured media. The basic idea is that coarse grid blocks are formed as sets of fine grid triangular cells and, thus, can be of an almost arbitrary polygonal shape.
Djulustan Nikiforov +3 more
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A Generalized Multiscale Finite Element Method for the Brinkman Equation [PDF]
, 2014 In this paper we consider the numerical upscaling of the Brinkman equation in the presence of high-contrast permeability fields. We develop and analyze a robust and efficient Generalized Multiscale Finite Element Method (GMsFEM) for the Brinkman model ...
Galvis, Juan, Li, Guanglian, Shi, Ke
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Fast Online Generalized Multiscale Finite Element Method using Constraint Energy Minimization
, 2017 Local multiscale methods often construct multiscale basis functions in the offline stage without taking into account input parameters, such as source terms, boundary conditions, and so on.
Chung, Eric T. +2 more
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