9 papers
Multi-time-stepping splitting scheme with mass lumping for the multiscale wave equation
Yating Wang, Wing Tat Leung, Zhengya Yang +1
Efficient simulation of wave propagation in high-contrast media is challenging because standard explicit schemes are subject to severe time-step restrictions induced by fine spatia…
A Two-Level Preconditioner Based on Dominant Components for Time-Dependent Multiscale High-Contrast Problem
Yating Wang, Yibao Li, Wing Tat Leung
In this work, we develop a two-level overlapping preconditioner for time-dependent problems in high-contrast multiscale media. We present a coarse-space construction based on multi…
I-MCHM: Interface Multicontinuum Homogenization for Multiscale Elliptic Problems
Wing Tat Leung, Zhihang Xu
We introduce an interface multicontinuum homogenization method (I-MCHM) for high-contrast elliptic problems whose subdomains may have distinct microscopic patterns and unequal numb…
An exponential integrator multicontinuum homogenization method for fractional diffusion problem with multiscale coefficients
Yifei Gao, Yating Wang, Wing Tat Leung +1
In this paper, we present a robust and fully discretized method for solving the time fractional diffusion equation with high-contrast multiscale coefficients. We establish the homo…
Multiscale Partially Explicit Splitting with Mass Lumping for High-Contrast Wave Equations
Shu Fan Li, Wing Tat Leung
In this paper, contrast-independent partially explicit time discretization for wave equations in heterogeneous high-contrast media via mass lumping is concerned. By employing a mas…
Parallel in time partially explicit splitting scheme for high contrast linear multiscale diffusion problems
Yating Wang, Zhengya Yang, Wing Tat Leung
Solving multiscale diffusion problems is often computationally expensive due to the spatial and temporal discretization challenges arising from high-contrast coefficients. To addre…
Learning-based Multi-continuum Model for Multiscale Flow Problems
Fan Wang, Yating Wang, Wing Tat Leung +1
Multiscale problems can usually be approximated through numerical homogenization by an equation with some effective parameters that can capture the macroscopic behavior of the orig…
AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable Basis Expansion for Multiphase Flow Problems
Yating Wang, Wing Tat Leung, Guang Lin
In this work, we propose an adaptive sparse learning algorithm that can be applied to learn the physical processes and obtain a sparse representation of the solution given a large…
Multirate partially explicit scheme for multiscale flow problems
Wing Tat Leung, Yating Wang
For time-dependent problems with high-contrast multiscale coefficients, the time step size for explicit methods is affected by the magnitude of the coefficient parameter. With a su…