Results 31 to 40 of about 13,453,555 (238)

Generalized Multiscale Finite Element Method for Highly Heterogeneous Compressible Flow

Multiscale Modeling & Simulation, 2022
In this paper, we study the generalized multiscale finite element method (GMsFEM) for single phase compressible flow in highly heterogeneous porous media. We follow the major steps of the GMsFEM to construct permeability dependent offline basis for fast coarse-grid simulation.
Shubin Fu, Eric T. Chung 0001, Lina Zhao 0001   +2 more
openaire   +5 more sources

Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations

Mathematics, 2020
In this paper, we investigate and design multiscale simulations for stochastic multiscale PDEs. As for the space, we consider a coarse grid and a known multiscale method, the generalized multiscale finite element method (GMsFEM).
Zecheng Zhang, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung   +3 more
doaj   +1 more source

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., Efendiev, Yalchin R., Leung, Wing Tat   +2 more
openaire   +5 more sources

A higher order control volume based finite element method to prodict the deformation of heterogeneous materials [PDF]

, 2013
Materials with obvious internal structure can exhibit behaviour, under loading, that cannot be described by classical elasticity. It is therefore important to develop computational tools incorporating appropriate constitutive theories that can capture ...
Wheel, Marcus, Beveridge, Andrew James, Nash, David   +2 more
core   +4 more sources

Nonconforming generalized multiscale finite element methods

Journal of Computational and Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chak Shing Lee, Dongwoo Sheen
openaire   +2 more sources

Proper generalized decomposition of time-multiscale models [PDF]

, 2011
Models encountered in computational mechanics could involve many time scales. When these time scales cannot be separated, one must solve the evolution model in the entire time interval by using the finest time step that the model implies.
CHINESTA SORIA, Francisco, DOBLARÉ, Manuel, Chinesta, Francisco, CUETO, Elias, Amine Ammar, Francisco Chinesta, Manuel Doblaré, Elías Cueto, AMMAR, Amine   +8 more
core   +1 more source

Generalized multiscale finite element method. Symmetric interior penalty coupling [PDF]

Journal of Computational Physics, 2013
Motivated by applications to numerical simulation of flows in highly heterogeneous porous media, we develop multiscale finite element methods for second order elliptic equations. We discuss a multiscale model reduction technique in the framework of the discontinuous Galerkin finite element method. We propose three different finite element spaces on the
Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, M. Moon, Marcus Sarkis   +4 more
openaire   +5 more sources

Solution of Large Stochastic Finite Element Problems – Application to ECT-NDT [PDF]

, 2013
Version éditeur disponible à cette adresse : http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6514633This paper describes an efficient bloc iterative solver for the Spectral Stochastic Finite Element Method (SSFEM). The SSFEM was widely used to
MOREAU, Olivier, BEDDEK, Karim, LE MENACH, Yvonnick, CLENET, Stephane   +3 more
core   +1 more source

Generalized Multiscale Finite Element Methods for Wave Propagation in Heterogeneous Media [PDF]

Multiscale Modeling & Simulation, 2014
Numerical modeling of wave propagation in heterogeneous media is important in many applications. Due to the complex nature, direct numerical simulations on the fine grid are prohibitively expensive. It is therefore important to develop efficient and accurate methods that allow the use of coarse grids.
Chung, Eric T., Efendiev, Yalchin R., Leung, Wing Tat   +2 more
openaire   +5 more sources

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, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Yating Wang   +5 more
doaj   +1 more source