Results 41 to 50 of about 27,980 (243)

Nonconforming generalized multiscale finite element methods

Journal of Computational and Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Chak Shing, Sheen, Dongwoo
openaire   +1 more source

A generalized finite element method for linear thermoelasticity [PDF]

, 2016
We propose and analyze a generalized finite element method designed for linear quasistatic thermoelastic systems with spatial multiscale coefficients.
Målqvist, Axel, Persson, Anna
core   +2 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

A localized orthogonal decomposition method for semi-linear elliptic problems [PDF]

, 2013
In this paper we propose and analyze a new Multiscale Method for solving semi-linear elliptic problems with heterogeneous and highly variable coefficient functions.
Henning, Patrick, Malqvist, Axel, Peterseim, Daniel   +2 more
core   +2 more sources

A multiscale model reduction method for nonlinear monotone elliptic equations in heterogeneous media

Networks and Heterogeneous Media, 2017
In this paper, we present a multiscale model reduction framework within Generalized Multiscale Finite Element Method (GMsFEM) for nonlinear elliptic problems.
Eric Chung, Yalchin Efendiev, Ke Shi, Shuai Ye   +3 more
doaj   +1 more source

Computational Multiscale Methods for Linear Poroelasticity with High Contrast [PDF]

, 2018
In this work, we employ the Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) to solve the problem of linear heterogeneous poroelasticity with coefficients of high contrast.
Altmann, Robert, Chung, Eric T., Fu, Shubin, Maier, Roland, Peterseim, Daniel, Pun, Sai-Mang   +5 more
core   +2 more sources

Multiscale Partition of Unity [PDF]

, 2013
We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to a particular ansatz space or the existence of a finite element mesh.
C.A. Duarte, C.A. Duarte, D.-J. Kim, H. Owhadi, H.W. Alt, I. Babuška, J.M. Melenk, J.T. Oden, N. Moës, T. Belytschko, T.J. Liszka, V. Gupta   +11 more
core   +2 more sources

Multiscale Simulation of 2D Heat Transfer in Composite Media Based on Global–Local Enrichment Functions

Mathematics
In this study, the extended finite element method (XFEM) was integrated into the generalized multiscale finite element method with global–local enrichment (GFEMgl) to simulate 2D heat conduction in highly heterogeneous materials (i.e., matrixes with ...
Guangzhong Liu, Jiamin Guo, Yan Bao, Huan Ping   +3 more
doaj   +1 more source

A weak Galerkin generalized multiscale finite element method

Journal of Computational and Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mu, Lin, Wang, Junping, Ye, Xiu
openaire   +2 more sources

Mixed Generalized Multiscale Finite Element Method for flow problem in thin domains

Journal of Computational and Applied Mathematics, 2022
In this paper, we construct a class of Mixed Generalized Multiscale Finite Element Methods for the approximation on a coarse grid for an elliptic problem in thin two-dimensional domains. We consider the elliptic equation with homogeneous boundary conditions on the domain walls. For reference solution of the problem, we use a Mixed Finite Element Method
Denis Spiridonov, Maria Vasilyeva, Min Wang, Eric T. Chung   +3 more
openaire   +3 more sources