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08/08/2022
Multicontinuum homogenization and its relation to nonlocal multicontinuum theories
In this paper, we present a general derivation of multicontinuum equatio...
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07/24/2022
AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable Basis Expansion for Multiphase Flow Problems
In this work, we propose an adaptive sparse learning algorithm that can ...
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04/01/2022
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations
In this paper, we consider a class of convection-diffusion equations wit...
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10/26/2021
Continuous data assimilation for two-phase flow: analysis and simulations
We propose, analyze, and test a novel continuous data assimilation two-p...
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10/25/2021
Partially Explicit Time Discretization for Nonlinear Time Fractional Diffusion Equations
Nonlinear time fractional partial differential equations are widely used...
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08/30/2021
Partially Explicit Time Discretization for Time Fractional Diffusion Equation
Time fractional PDEs have been used in many applications for modeling an...
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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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08/14/2021
Multirate partially explicit scheme for multiscale flow problems
For time-dependent problems with high-contrast multiscale coefficients, ...
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06/22/2021
Space-time Non-local multi-continua upscaling for parabolic equations with moving channelized media
In this paper, we consider a parabolic problem with time-dependent heter...
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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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12/03/2020
Iterative Oversampling Technique for Constraint Energy Minimizing Generalized Multiscale Finite Element Method in the Mixed Formulation
In this paper, we develop an iterative scheme to construct multiscale ba...
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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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04/09/2020
Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations
In this paper, we investigate and design multiscale simulations for stoc...
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09/27/2019
