Generalized Multiscale Finite Element Methods for problems in perforated heterogeneous domains [PDF]
, 2015 Complex processes in perforated domains occur in many real-world applications. These problems are typically characterized by physical processes in domains with multiple scales (see Figure 1 for the illustration of a perforated domain).
Chung, Eric T. +3 more
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Crouzeix-Raviart MsFEM with Bubble Functions for Diffusion and Advection-Diffusion in Perforated Media [PDF]
, 2015 International audienceThe adaptation of Crouzeix - Raviart finite element in the context of multiscale finite element method (MsFEM) is studied and implemented on diffusion and advection-diffusion problems in perforated media.
Degond, Pierre +3 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
doaj +1 more source
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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Variational Multiscale error estimators for solid mechanics adaptive simulations: an Orthogonal Subgrid Scale approach [PDF]
, 2016 In this work we present a general error estimator for the finite element solution of solid mechanics problems based on the Variational Multiscale method. The main idea is to consider a rich model for the subgrid scales as an error estimator.
Baiges Aznar, Joan, Codina, Ramon
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Multiscale model construction and modulus prediction of needle-punched carbon/carbon composites
Polymers and Polymer Composites, 2023 In this paper, the modulus prediction of NP-C/C is completed by establishing a multiscale finite element model, and the influence weight analysis of the modulus is carried out by using the analytical homogenization method.
Yang Liu +5 more
doaj +1 more source
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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High-Order Multiscale Finite Element Method for Elliptic Problems [PDF]
Multiscale Modeling & Simulation, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hesthaven, Jan S. +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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A convergence analysis of Generalized Multiscale Finite Element Methods [PDF]
Journal of Computational Physics, 2019 In this paper, we consider an approximation method, and a novel general analysis, for second-order elliptic differential equations with heterogeneous multiscale coefficients. We obtain convergence of the Generalized Multi-scale Finite Element Method (GMsFEM) method that uses local eigenvectors in its construction.
Eduardo Abreu, Ciro Díaz, Juan Galvis
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