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09/21/2023
Wavelet-based Edge Multiscale Finite Element Methods for Singularly Perturbed Convection-Diffusion Equations
We propose a novel efficient and robust Wavelet-based Edge Multiscale Fi...
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03/30/2023
Convergence of the CEM-GMsFEM for compressible flow in highly heterogeneous media
This paper presents and analyses a Constraint Energy Minimization Genera...
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07/10/2022
A discontinuous Galerkin based multiscale method for heterogeneous elastic wave equations
In this paper, we develop a local multiscale model reduction strategy fo...
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04/16/2022
Local multiscale model reduction using discontinuous Galerkin coupling for elasticity problems
In this paper, we consider the constrained energy minimizing generalized...
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03/22/2022
A conservative multiscale method for stochastic highly heterogeneous flow
In this paper, we propose a local model reduction approach for subsurfac...
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01/19/2022
Generalized multiscale finite element method for highly heterogeneous compressible flow
In this paper, we study the generalized multiscale finite element method...
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11/26/2021
A deep learning based reduced order modeling for stochastic underground flow problems
In this paper, we propose a deep learning based reduced order modeling m...
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07/27/2021
An Efficient and Statistically Accurate Lagrangian Data Assimilation Algorithm with Applications to Discrete Element Sea Ice Models
Lagrangian data assimilation of complex nonlinear turbulent flows is an ...
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06/19/2021
Learning Rays via Deep Neural Network in a Ray-based IPDG Method for High-Frequency Helmholtz Equations in Inhomogeneous Media
We develop a deep learning approach to extract ray directions at discret...
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05/12/2021
A local-global generalized multiscale finite element method for highly heterogeneous stochastic groundwater flow problems
In this paper, we propose a local-global multiscale method for highly he...
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08/20/2020
A comparison of mixed multiscale finite element methods for multiphase transport in highly heterogeneous media
In this paper, we systemically review and compare two mixed multiscale f...
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06/23/2020
Adaptive multiscale model reduction for nonlinear parabolic equations using GMsFEM
In this paper, we propose a coupled Discrete Empirical Interpolation Met...
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06/23/2020
Online conservative generalized multiscale finite element method for flow models
In this paper, we consider an online enrichment procedure using the Gene...
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06/23/2020
Online conservative generalized multiscale finite element methodto flow models
In this paper, we consider an online enrichment procedure using the Gene...
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05/14/2020
Mixed GMsFEM for linear poroelasticity problems in heterogeneous porous media
Accurate numerical simulations of interaction between fluid and solid pl...
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04/07/2020
Recovery of the time-dependent source term in the stochastic fractional diffusion equation with heterogeneous medium
In this work, an inverse problem in the fractional diffusion equation wi...
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09/29/2019
Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity
In this paper, we apply the constraint energy minimizing generalized mul...
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06/20/2019