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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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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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10/25/2021
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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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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11/11/2020
Temporal Splitting algorithms for non-stationary multiscale problems
In this paper, we study temporal splitting algorithms for multiscale pro...
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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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08/18/2020
Splitting methods for solution decomposition in nonstationary problems
In approximating solutions of nonstationary problems, various approaches...
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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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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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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