Results 41 to 50 of about 1,889 (249)
Prediction of Discretization of GMsFEM Using Deep Learning
Mathematics, 2019 In this paper, we propose a deep-learning-based approach to a class of multiscale problems. The generalized multiscale finite element method (GMsFEM) has been proven successful as a model reduction technique of flow problems in heterogeneous and high ...
Min Wang +5 more
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Hierarchical multiscale modeling for flows in fractured media using generalized multiscale finite element method [PDF]
, 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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A weak Galerkin generalized multiscale finite element method
Journal of Computational and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin Mu 0002, Junping Wang, Xiu Ye
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Analysis of an energy-based atomistic/continuum approximation of a vacancy in the 2D triangular lattice [PDF]
, 2013 We present an a priori error analysis of a practical energy based atomistic/continuum coupling method (A. V. Shapeev, Multiscale Model. Simul., 9(3):905-932, 2011) in two dimensions, for finite-range pair-potential interactions, in the presence of ...
Ortner, C. +2 more
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Generalized multiscale finite element method for non-Newtonian fluid flow in perforated domain [PDF]
, 2022 Art. 100001, 9 S.In this work, we consider a non-Newtonian fluid flow in perforated domains. Fluid flow in perforated domains have a multiscale nature and solution techniques for such problems require high resolution.
Chung, E.T., Vasilyeva, M.V., Iliev, O.
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Multiscale failure Modeling of composites using generalized finite element method [PDF]
, 2012 In this work multiscale failure modeling of composites is made using generalized finite element method (GFEM). In this method the global approximation are constructed by combining the local basis with partition of unity functions.
Pal, M K, Rajagopal, Amirtham
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Generalized Multiscale Finite Element Methods with energy minimizing oversampling
International Journal for Numerical Methods in Engineering, 2018 SummaryIn this paper, we propose a general concept for constructing multiscale basis functions within Generalized Multiscale Finite Element Method, which uses oversampling and stable decomposition. The oversampling refers to using larger regions in constructing multiscale basis functions and stable decomposition allows estimating the local errors.
Eric Chung +2 more
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Scale transition and enforcement of RVE boundary conditions in second-order computational homogenization [PDF]
, 2008 Formulation of the scale transition equations coupling the microscopic and macroscopic variables in the second-order computational homogenization of heterogeneous materials and the enforcement of generalized boundary conditions for the representative ...
Bicanic, Nenad +2 more
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MathematicsIn this study, the extended finite element method (XFEM) was integrated into the generalized multiscale finite element method with global–local enrichment (GFEMgl) to simulate 2D heat conduction in highly heterogeneous materials (i.e., matrixes with ...
Guangzhong Liu +3 more
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A mixed multiscale spectral generalized finite element method
Numerische MathematikWe present a multiscale mixed finite element method for solving second order elliptic equations with general $L^{\infty}$-coefficients arising from flow in highly heterogeneous porous media. Our approach is based on a multiscale spectral generalized finite element method (MS-GFEM) and exploits the superior local mass conservation properties of mixed ...
Christian Alber +2 more
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