Results 201 to 210 of about 1,506 (212)

A Generalized Finite Element Method for Multiscale Simulations

2012
Abstract : 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.
openaire   +1 more source

Partially explicit generalized multiscale finite element methods for poroelasticity problem

Journal of Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xin Su, Wing Tat Leung, Wenyuan Li 0004, Sai-Mang Pun   +3 more
openaire   +2 more sources

Generalized Multiscale Finite Element Method for Elasticity Problem in Fractured Media

2019
In this work, we consider the elasticity problem in fractured media. For the efficient numerical solution, we present a Generalized Multiscale Finite Element Method (GMsFEM). GMsFEM is used for the construction of a coarse grid approximation of the problem by solution of the local spectral problems.
Valentin Alekseev, Aleksey Tyrylgin, Maria V. Vasilyeva   +2 more
openaire   +1 more source

Generalized Multiscale Finite Element Method for Poroelasticity Problems in Heterogeneous Media

2019
In this work, we consider the poroelasticity problems in heterogeneous porous media. Mathematical model contains coupled system of the equations for pressure and displacements. For the numerical solution, we present a Generalized Multiscale Finite Element Method (GMsFEM).
Aleksey Tyrylgin, Maria V. Vasilyeva, Donald L. Brown   +2 more
openaire   +1 more source

Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems

SIAM Journal on Numerical Analysis, 2023
Robert Scheichl
exaly  

Mixed Generalized Multiscale Finite Element Method for Darcy-Forchheimer Model

Mathematics, 2019
Maria Vasilyeva, Yunqing Huang, Eric Chung   +2 more
exaly  

A generalized phase field multiscale finite element method for brittle fracture

International Journal for Numerical Methods in Engineering, 2020
Savvas Triantafyllou
exaly  

Generalized multiscale finite element methods. Main concepts and overview

2023
Eric Chung, Yalchin Efendiev, Thomas Y. Hou   +2 more
openaire   +1 more source

REITERATED MULTISCALE MODEL REDUCTION USING THE GENERALIZED MULTISCALE FINITE ELEMENT METHOD

International Journal for Multiscale Computational Engineering, 2016
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Maria Vasilyeva   +3 more
openaire   +1 more source

Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media

Journal of Computational Physics, 2015
Richard Gibson, Kai Gao, Yalchin Efendiev   +2 more
exaly