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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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10/20/2022
A multiscale method for inhomogeneous elastic problems with high contrast coefficients
In this paper, we develop the constrained energy minimizing generalized ...
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04/20/2022
Homogenization with quasistatic Tresca's friction law: qualitative and quantitative results
The problems of frictional contacts are the key to the investigation of ...
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01/13/2022
Constraint energy minimizing generalized multiscale finite element method for inhomogeneous boundary value problems with high contrast coefficients
In this article we develop the Constraint Energy Minimizing Generalized ...
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01/06/2022
Numerical analysis of several FFT-based schemes for computational homogenization
We study the convergences of several FFT-based schemes that are widely a...
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10/12/2021
Mixed Generalized Multiscale Finite Element Method for Flow Problem in Thin Domains
In this paper, we construct a class of Mixed Generalized Multiscale Fini...
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08/28/2021
Contrast-independent partially explicit time discretizations for nonlinear multiscale problems
This work continues a line of works on developing partially explicit met...
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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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02/25/2021
Contrast-independent partially explicit time discretizations for multiscale wave problems
In this work, we design and investigate contrast-independent partially e...
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01/13/2021
Contrast-independent partially explicit time discretizations for multiscale flow problems
Many multiscale problems have a high contrast, which is expressed as a v...
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09/03/2020
Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries
In this paper, we consider flow and transport problems in thin domains. ...
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09/01/2020
Explicit and Energy-Conserving Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method for Wave Propagation in Heterogeneous Media
In this work, we propose a local multiscale model reduction approach for...
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07/17/2020
Generalized multiscale approximation of a multipoint flux mixed finite element method for Darcy-Forchheimer model
In this paper, we propose a multiscale method for the Darcy-Forchheimer ...
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07/17/2020
Adaptive generalized multiscale approximation of a mixed finite element method with velocity elimination
In this paper, we propose offline and online adaptive enrichment algorit...
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07/07/2020
A deep learning based nonlinear upscaling method for transport equations
We will develop a nonlinear upscaling method for nonlinear transport equ...
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01/22/2020
Nonlocal multicontinua with Representative Volume Elements. Bridging separable and non-separable scales
Recently, several approaches for multiscale simulations for problems wit...
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09/27/2019
Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method
Numerical simulation of flow problems and wave propagation in heterogene...
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08/15/2019
Space-Time Nonlinear Upscaling Framework Using Non-local Multi-continuum Approach
In this paper, we develop a space-time upscaling framework that can be u...
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08/06/2019
Generalized Multiscale Finite Element Method for the poroelasticity problem in multicontinuum media
In this paper, we consider a poroelasticity problem in heterogeneous mul...
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08/01/2019
Generalized Multiscale Finite Element method for multicontinua unsaturated flow problems in fractured porous media
In this paper, we present a multiscale method for simulations of the mul...
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07/05/2019
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques
In this work, we present a novel nonlocal nonlinear coarse grid approxim...
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06/13/2018