Results 51 to 60 of about 1,498,610 (256)
On-the-fly multiscale analysis of composite materials with a Generalized Finite Element Method
Finite elements in analysis and designB. Mazurowski +2 more
openalex +2 more sources
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 +4 more
doaj +1 more source
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 +3 more
doaj +1 more source
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 +4 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 +3 more
doaj +1 more source
Regularized coupling multiscale method for thermomechanical coupled problems [PDF]
Journal of Computational Physics (2023): 112737, 2023 The coupling effects in multiphysics processes are often neglected in designing multiscale methods. The coupling may be described by a non-positive definite operator, which in turn brings significant challenges in multiscale simulations. In the paper, we develop a regularized coupling multiscale method based on the generalized multiscale finite element
arxiv +1 more source
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 +5 more
doaj +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
A comparison of mixed multiscale finite element methods for multiphase transport in highly heterogeneous media [PDF]
, 2020 In this paper, we systemically review and compare two mixed multiscale finite element methods (MMsFEM) for multiphase transport in highly heterogeneous media. In particular, we will consider the mixed multiscale finite element method using limited global information, simply denoted by MMsFEM, and the mixed generalized multiscale finite element method ...
arxiv +1 more source
Non-intrusive implementation of Multiscale Finite Element Methods: an illustrative example [PDF]
, 2022 Multiscale Finite Element Methods (MsFEM) are finite element type approaches dedicated to multiscale problems. They first compute local, oscillatory, problem-dependent basis functions which generate a specific discretization space, and next perform a Galerkin approximation of the problem on that space.
arxiv +1 more source