Results 21 to 30 of about 1,839 (214)

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
openaire   +3 more sources

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, Djulustan Nikiforov, Aleksandr Grigorev   +2 more
doaj   +1 more source

Online Coupled Generalized Multiscale Finite Element Method for the Poroelasticity Problem in Fractured and Heterogeneous Media

Fluids, 2021
In this paper, we consider the poroelasticity problem in fractured and heterogeneous media. The mathematical model contains a coupled system of equations for fluid pressures and displacements in heterogeneous media.
Aleksei Tyrylgin, Maria Vasilyeva, Dmitry Ammosov, Eric T. Chung, Yalchin Efendiev   +4 more
doaj   +1 more source

Multiscale Modeling of SiCf/SiC Nuclear Fuel Cladding Based on FE-Simulation of Braiding Process

Frontiers in Materials, 2021
A generalized multiscale (micro-macro) finite element (FE) model for SiC-fiber reinforced SiC-matrix ceramic (SiCf/SiC) nuclear fuel claddings is established.
Yajie Feng, Jun Wang, Jun Wang, Nianwei Shang, Nianwei Shang, Gang Zhao, Gang Zhao, Chao Zhang, Jianbo Tang, Jianbo Tang, Shiqing Xin, Andreas Hornig, Maik Gude, Qing Huang, Qing Huang, Xigao Jian, Jian Xu, Jian Xu, Jian Xu   +18 more
doaj   +1 more source

Multiscale Model Reduction of the Unsaturated Flow Problem in Heterogeneous Porous Media with Rough Surface Topography

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, Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev, Raghavendra Jana   +4 more
doaj   +1 more source

DG-GMsFEM for Problems in Perforated Domains with Non-Homogeneous Boundary Conditions

Computation, 2021
Problems in perforated media are complex and require high resolution grid construction to capture complex irregular perforation boundaries leading to the large discrete system of equations. In this paper, we develop a multiscale model reduction technique
Valentin Alekseev, Maria Vasilyeva, Uygulaana Kalachikova, Eric T. Chung   +3 more
doaj   +1 more source

Generalized Multiscale Finite Element Method for the poroelasticity problem in multicontinuum media [PDF]

Journal of Computational and Applied Mathematics, 2020
In this paper, we consider a poroelasticity problem in heterogeneous multicontinuum media that is widely used in simulations of the unconventional hydrocarbon reservoirs and geothermal fields. Mathematical model contains a coupled system of equations for pressures in each continuum and effective equation for displacement with volume force sources that ...
Aleksei Tyrylgin, Maria V. Vasilyeva, Denis Spiridonov, Eric T. Chung 0001   +3 more
openaire   +2 more sources

Review of Wind-Induced Effects Estimation through Nonlinear Analysis of Tall Buildings, High-Rise Structures, Flexible Bridges and Transmission Lines

Buildings, 2023
The nonlinear effects exhibited by structures under the action of wind loads have gradually stepped into the vision of wind-resistant researchers. By summarizing the prominent wind-induced nonlinear problems of four types of wind-sensitive structures ...
Shuang Zhao, Chengtao Zhang, Xianxing Dai, Zhitao Yan   +3 more
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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   +3 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