14 citations · 23 across the 11 of their papers we have counts for
15 papers
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations
Yalchin Efendiev, Wing Tat Leung, Wenyuan Li +2
In this paper, we consider a class of convection-diffusion equations with memory effects. These equations arise as a result of homogenization or upscaling of linear transport equat…
Partially Explicit Time Discretization for Time Fractional Diffusion Equation
Jiuhua Hu, Anatoly Alikhanov, Yalchin Efendiev +1
Time fractional PDEs have been used in many applications for modeling and simulations. Many of these applications are multiscale and contain high contrast variations in the media p…
NH-PINN: Neural homogenization based physics-informed neural network for multiscale problems
Wing Tat Leung, Guang Lin, Zecheng Zhang
Physics-informed neural network (PINN) is a data-driven approach to solve equations. It is successful in many applications; however, the accuracy of the PINN is not satisfactory wh…
Contrast-independent partially explicit time discretizations for nonlinear multiscale problems
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +1
This work continues a line of works on developing partially explicit methods for multiscale problems. In our previous works, we have considered linear multiscale problems, where th…
Space-time Non-local multi-continua upscaling for parabolic equations with moving channelized media
Jiuhua Hu, Wing Tat Leung, Eric Chung +2
In this paper, we consider a parabolic problem with time-dependent heterogeneous coefficients. Many applied problems have coupled space and time heterogeneities. Their homogenizati…
Contrast-independent partially explicit time discretizations for multiscale flow problems
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +1
Many multiscale problems have a high contrast, which is expressed as a very large ratio between the media properties. The contrast is known to introduce many challenges in the desi…