Results 61 to 70 of about 1,498,610 (256)
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 +2 more
core +2 more sources
Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model [PDF]
Journal of Computational and Applied Mathematics, 2019 In this paper, we consider multiscale methods for nonlinear elasticity. In particular, we investigate the Generalized Multiscale Finite Element Method (GMsFEM) for a strain-limiting elasticity problem. Being a special case of the naturally implicit constitutive theory of nonlinear elasticity, strain-limiting relation has presented an interesting class ...
Shubin Fu, Eric T. Chung, Tina Mai
openalex +4 more sources
Algebraic Multiscale Method for two--dimensional elliptic problems [PDF]
arXiv, 2022 We introduce an algebraic multiscale method for two--dimensional problems. The method uses the generalized multiscale finite element method based on the quadrilateral nonconforming finite element spaces. Differently from the one--dimensional algebraic multiscale method, we apply the dimension reduction techniques to construct multiscale basis functions.
arxiv
Progressive Failure of a Unidirectional Fiber-Reinforced Composite Using the Method of Cells: Discretization Objective Computational Results [PDF]
, 2012 The smeared crack band theory is implemented within the generalized method of cells and high-fidelity generalized method of cells micromechanics models to capture progressive failure within the constituents of a composite material while retaining ...
Arnold, Steven M. +3 more
core +2 more sources
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 +5 more
core +2 more sources
A weak Galerkin generalized multiscale finite element method
Journal of Computational and Applied Mathematics, 2016 In this paper, we propose a general framework for weak Galerkin generalized multiscale (WG-GMS) finite element method for the elliptic problems with rapidly oscillating or high contrast coefficients. This general WG-GMS method features in high order accuracy on general meshes and can work with multiscale basis derived by different numerical schemes.
Junping Wang, Xiu Ye, Lin Mu
openaire +2 more sources
MathematicsIn 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 +3 more
doaj +1 more source
Randomized Local Model Order Reduction [PDF]
, 2018 In this paper we propose local approximation spaces for localized model order reduction procedures such as domain decomposition and multiscale methods.
Buhr, Andreas, Smetana, Kathrin
core +3 more sources
Oversampling for the Multiscale Finite Element Method [PDF]
SIAM Multiscale Mod. Simul. pages 1149--1175 vol. 11 num. 4 - 2013, 2012 This paper reviews standard oversampling strategies as performed in the Multiscale Finite Element Method (MsFEM). Common to those approaches is that the oversampling is performed in the full space restricted to a patch but including coarse finite element functions.
arxiv +1 more source
Fast Online Generalized Multiscale Finite Element Method using Constraint Energy Minimization
, 2017 Local multiscale methods often construct multiscale basis functions in the offline stage without taking into account input parameters, such as source terms, boundary conditions, and so on.
Chung, Eric T. +2 more
core +1 more source