Results 21 to 30 of about 5,178 (170)
Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations
Abstract and Applied Analysis, 2012 We consider a stabilized multiscale nonconforming finite element method for the two-dimensional stationary incompressible Navier-Stokes problem. This method is based on the enrichment of the standard polynomial space for the velocity component with ...
Tong Zhang, Shunwei Xu, Jien Deng
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Randomized Oversampling for Generalized Multiscale Finite Element Methods [PDF]
Multiscale Modeling & Simulation, 2016 In this paper, we study the development of efficient multiscale methods for flows in heterogeneous media. Our approach uses the Generalized Multiscale Finite Element (GMsFEM) framework. The main idea of GMsFEM is to approximate the solution space locally using a few multiscale basis functions.
Calo, Victor M. +3 more
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Mathematics, 2020 In this paper, we consider unsaturated filtration in heterogeneous porous media with rough surface topography. The surface topography plays an important role in determining the flow process and includes multiscale features.
Denis Spiridonov +4 more
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Residual-driven online generalized multiscale finite element methods [PDF]
Journal of Computational Physics, 2015 The construction of local reduced-order models via multiscale basis functions has been an area of active research. In this paper, we propose online multiscale basis functions which are constructed using the offline space and the current residual. Online multiscale basis functions are constructed adaptively in some selected regions based on our error ...
Chung, Eric T. +2 more
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High-resolution multiscale modeling of mechanical behavior of cold-drawn pearlitic steels
Journal of Materials Research and Technology, 2021 A strategy based on representative volume element (RVE) was proposed to investigate the mechanical behavior of cold-drawn pearlitic steels at multiscale. Firstly, a finite element model based on macroscale was used to simulate the cold drawing.
Xutao Huang +4 more
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A Multiscale Mortar Mixed Finite Element Method [PDF]
Multiscale Modeling & Simulation, 2007 We develop multiscale mortar mixed finite element discretizations for second order elliptic equations. The continuity of flux is imposed via a mortar finite element space on a coarse grid scale, while the equations in the coarse elements (or subdomains) are discretized on a fine grid scale.
Todd Arbogast +3 more
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Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost
Mathematics, 2021 In this work, we design a multiscale simulation method based on the Generalized Multiscale Finite Element Method (GMsFEM) for numerical modeling of fluid seepage under permafrost condition in heterogeneous soils.
Sergei Stepanov +2 more
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Nonconforming generalized multiscale finite element methods
Journal of Computational and Applied Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Chak Shing, Sheen, Dongwoo
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Multiscale modeling of magnetic distribution of ribbon magnetic cores
CES Transactions on Electrical Machines and Systems, 2018 The multiscale finite element method (MsFEM) combined with conventional finite element method (CFEM) is proposed to solve static magnetic field in the ribbon magnetic core with non-periodical corners considered.
Hailin Li +3 more
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Nonlocal and Mixed-Locality Multiscale Finite Element Methods
Multiscale Modeling & Simulation, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Costa, Timothy B. +2 more
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