5 papers
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…
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…
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…
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…