Showing 2026Show all
3 papers · 1 filter
math.NA2026
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…
math.NA2026
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…
math.NA2026
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…