9 citations · 16 across the 11 of their papers we have counts for
4 papers · 1 filter
An Alternating Direction Implicit Method for Mean Curvature Flows
Han Zhou, Shuwang Li, Wenjun Ying
This paper is concerned with the mean curvature flow, which describes the dynamics of a hypersurface whose normal velocity is determined by local mean curvature. We present a Carte…
A correction function-based kernel-free boundary integral method for elliptic PDEs with implicitly defined interfaces
Han Zhou, Wenjun Ying
This work addresses a novel version of the kernel-free boundary integral (KFBI) method for solving elliptic PDEs with implicitly defined irregular boundaries and interfaces. We foc…
A Cartesian grid-based boundary integral method for moving interface problems
Han Zhou, Shuwang Li, Wenjun Ying
This paper proposes a Cartesian grid-based boundary integral method for efficiently and stably solving two representative moving interface problems, the Hele-Shaw flow and the Stef…
ADI schemes for heat equations with irregular boundaries and interfaces in 3D with applications
Han Zhou, Minsheng Huang, Wenjun Ying
In this paper, efficient alternating direction implicit (ADI) schemes are proposed to solve three-dimensional heat equations with irregular boundaries and interfaces. Starting from…