Results 11 to 20 of about 1,839 (214)

Randomized Oversampling for Generalized Multiscale Finite Element Methods [PDF]

Multiscale Modeling & Simulation, 2016
In this paper, we develop efficient multiscale methods for flows in heterogeneous media. We use the generalized multiscale finite element (GMsFEM) framework. GMsFEM approximates the solution space locally using a few multiscale basis functions.
Calo, Victor M., Li, G., Efendiev, Yalchin, Li, Guanglian, Galvis, J., Efendiev, Yalchin R., Efendiev, Y., Calo, Victor, Galvis, Juan   +8 more
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Generalized multiscale finite element methods (GMsFEM) [PDF]

Journal of Computational Physics, 2013
In this paper, we propose a general approach called Generalized Multiscale Finite Element Method (GMsFEM) for performing multiscale simulations for problems without scale separation over a complex input space.
Hou, Thomas Y., Efendiev, Yalchin, Hou, Thomasyizhao, Efendiev, Yalchin R., Galvis, Juan   +4 more
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Generalized multiscale finite element method. Symmetric interior penalty coupling [PDF]

Journal of Computational Physics, 2013
Motivated by applications to numerical simulations of flows in highly heterogeneous porous media, we develop multiscale finite element methods for second order elliptic equations.
Lazarov, Raytcho D., Efendiev, Yalchin R., Sarkis, Marcus V., Moon, M., Galvis, Juan   +4 more
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Mixed Generalized Multiscale Finite Element Methods and Applications [PDF]

Multiscale Modeling & Simulation, 2015
In this paper, we present a mixed generalized multiscale finite element method (GMsFEM) for solving flow in heterogeneous media. Our approach constructs multiscale basis functions following a GMsFEM framework and couples these basis functions using a ...
Lee, Chak Shing, Efendiev, Yalchin R., Chung, Eric T.   +2 more
core   +5 more sources

An exponential integration generalized multiscale finite element method for parabolic problems [PDF]

Journal of Computational Physics, 2023
We consider linear and semilinear parabolic problems posed in high-contrast multiscale media in two dimensions. The presence of high-contrast multiscale media adversely affects the accuracy, stability, and overall efficiency of numerical approximations
Abreu, E., Galvis, J., Pardo, D., Muñoz-Matute, J., Diaz, C., Contreras, L. F.   +5 more
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Sparse Generalized Multiscale Finite Element Methods and their applications [PDF]

International Journal for Multiscale Computational Engineering, 2016
© 2016 by Begell House, Inc. In a number of previous papers, local (coarse grid) multiscale model reduction techniques are developed using a Generalized Multiscale Finite Element Method.
Efendiev, Yalchin, Li, Guanglian, Chung, Eric, Chung, Eric T., Leung, Wing Tat   +4 more
core   +3 more sources

Generalized multiscale finite element method for elasticity equations [PDF]

GEM - International Journal on Geomathematics, 2014
In this paper, we discuss the application of generalized multiscale finite element method (GMsFEM) to elasticity equation in heterogeneous media. We consider steady state elasticity equations though some of our applications are motivated by elastic wave ...
Fu, Shubin, Efendiev, Yalchin, Chung, Eric T.   +2 more
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A Generalized Multiscale Finite Element Method for poroelasticity problems II: nonlinear coupling [PDF]

Journal of Computational and Applied Mathematics, 2015
In this paper, we consider the numerical solution of some nonlinear poroelasticity problems that are of Biot type and develop a general algorithm for solving nonlinear coupled systems.
Brown, Donald, Vasilyeva, Maria
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Generalized Multiscale Finite Element Method for discrete network (graph) models

Journal of Computational and Applied Mathematics
In this paper, we consider a time-dependent discrete network model with highly varying connectivity. The approximation by time is performed using an implicit scheme.
Vasilyeva, Maria
core   +3 more sources

Online Multiscale Finite Element Simulation of Thermo-Mechanical Model with Phase Change

Computation, 2023
This paper presents a thermo-mechanical model with phase transition considering changes in the mechanical properties of the medium. The proposed thermo-mechanical model is described by a system of partial differential equations for temperature and ...
Dmitry Ammosov, Maria Vasilyeva
doaj   +1 more source