Results 1 to 10 of about 190 (85)
Prediction of Discretization of GMsFEM Using Deep Learning [PDF]
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 ...
Siu Wun Cheung +2 more
exaly +7 more sources
DG-GMsFEM for Problems in Perforated Domains with Non-Homogeneous Boundary Conditions [PDF]
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
Maria Vasilyeva +2 more
exaly +5 more sources
Generalized multiscale finite element methods (GMsFEM) [PDF]
Journal of Computational Physics, 2013 In this paper, we propose a general approach called Generalized Multiscale Finite Element Method (GMsFEM) for performing multiscale simulations for problems without scale separation over a complex input space.
Yalchin Efendiev +2 more
exaly +6 more sources
An adaptive GMsFEM for high-contrast flow problems [PDF]
Journal of Computational Physics, 2014 In this paper, we derive an a-posteriori error indicator for the Generalized Multiscale Finite Element Method (GMsFEM) framework. This error indicator is further used to develop an adaptive enrichment algorithm for the linear elliptic equation with ...
Eric T Chung +2 more
exaly +5 more sources
Numerical Study of Soil-Thawing Effect of Composite Piles Using GMsFEM [PDF]
Journal of Composites Science, 2021 During construction works, it is advisable to prevent strong thawing and an increase in the moisture content of the foundations of engineering structures in the summer.
Petr V Sivtsev +2 more
exaly +3 more sources
Computational multiscale methods for first-order wave equation using mixed CEM-GMsFEM [PDF]
Journal of Computational Physics, 2020 In this paper, we consider a pressure-velocity formulation of the heterogeneous wave equation and employ the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) to solve this problem.
Eric T Chung, Sai-Mang Pun
exaly +5 more sources
Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media [PDF]
Journal of Computational Physics, 2015 It is important to develop fast yet accurate numerical methods for seismic wave propagation to characterize complex geological structures and oil and gas reservoirs.
Kai Gao, Shubin Fu, Richard L Gibson
exaly +6 more sources
Goal-oriented adaptivity of mixed GMsFEM for flows in heterogeneous media
Computer Methods in Applied Mechanics and Engineering, 2017 We present an adaptive goal-oriented framework with the mixed Generalized Multiscale Finite Element Method (GMsFEM) to numerically solve the flow problem in heterogeneous media.
Eric T Chung +2 more
exaly +4 more sources
Generalized Multiscale Finite Element Method for Elastic Wave Propagation in the Frequency Domain
Computation, 2020 In this work, we consider elastic wave propagation in fractured media. The mathematical model is described by the Helmholtz problem related to wave propagation with specific interface conditions (Linear Slip Model, LSM) on the fracture in the frequency ...
Uygulana Gavrilieva +2 more
doaj +2 more sources
Mathematics, 2021 In this paper, we present a multiscale model reduction technique for unsaturated filtration problem in fractured porous media using an Online Generalized Multiscale finite element method. The flow problem in unsaturated soils is described by the Richards
Denis Spiridonov +3 more
doaj +2 more sources