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Dmitry Ammosov +3 more
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Generalized Multiscale Finite Element Method for piezoelectric problem in heterogeneous media
Engineering Analysis with Boundary Elements, 2022Abstract In this paper, we study multiscale methods for piezocomposites. We consider a model of static piezoelectric problem that consists of deformation with respect to components of displacements and a function of electric potential. This problem includes the equilibrium equations, the quasi-electrostatic equation for dielectrics, and a system of ...
Dmitry Ammosov +3 more
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Generalized Multiscale Finite Element Method for scattering problem in heterogeneous media
Journal of Computational and Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Uygulaana Kalachikova +3 more
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Least-squares mixed generalized multiscale finite element method
Computer Methods in Applied Mechanics and Engineering, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Fuchen, Chung, Eric, Jiang, Lijian
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Adaptive Least-Squares Mixed Generalized Multiscale Finite Element Methods
Multiscale Modeling & Simulation, 2018In this paper, we present two kinds of adaptive least-squares mixed generalized multiscale finite element methods (GMsFEMs) for solving an elliptic problem in highly heterogeneous porous media.
Fuchen Chen, Eric Chung, Lijian Jiang
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Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics
2014In this chapter, we discuss multiscale model reduction using Generalized Multiscale Finite Element Methods (GMsFEM) in a number of geomathematical applications. GMsFEM has been recently introduced (Efendiev et al. 2012) and applied to various problems.
Efendiev, Yalchin R., Presho, Michael
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A Generalized Multiscale Finite Element Method for Thermoelasticity Problems
2017In this work, we consider the coupled systems of a partial differential equations, which arise in the modeling of thermoelasticity processes in heterogeneous domains. Heterogeneity of the properties requires a high resolution solve that adds many degrees of freedom that can be computationally costly.
Maria Vasilyeva, Denis Stalnov
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A Generalized Finite Element Method for Multiscale Simulations
2012Abstract : This report focuses on recent advances of the Generalized Finite Element Method (GFEM) for multiscale simulations. This method is based on the solution of interdependent global and local scale problems, and can be applied to a broad class of multiscale problems of relevance to the United States Air Force.
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Generalized multiscale finite element method for language competition modeling I: Offline approach
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
D.A. Ammosov +2 more
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Partially explicit generalized multiscale finite element methods for poroelasticity problem
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xin Su +3 more
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