From the 3 of 8 linked papers with an AI index.
2 citations · 3 across the 7 of their papers we have counts for
6 papers · 1 filter
A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains
Han Zhou, Yoichiro Mori, Lingxing Yao
The paper presents a Cartesian grid finite‑difference method for solving advection‑diffusion equations with Robin boundary conditions on domains that move over time, using an inter…
Modeling and Simulation of Open Membranes in Stokes Flow with Mixed-Dimensional Coupling
Han Zhou, Yuan-Nan Young, Yoichiro Mori
The paper introduces a mathematical and computational framework that couples three‑dimensional Stokes flow, a two‑dimensional lipid bilayer membrane, and its one‑dimensional free e…
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…
A Correction Function-based KFBI Method for Brinkman Interface Problems
Han Zhou, Wenjun Ying
In this work, we propose a correction-function-based kernel-free boundary integral (CF-KFBI) method for solving Stokes- and Brinkman-type interface problems. We begin by recasting…
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…
A kernel-free boundary integral method for elliptic interface problems on surfaces
Pengsong Yin, Wenjun YIng, Yulin Zhang +1
This work presents a generalized boundary integral method for elliptic equations on surfaces, encompassing both boundary value and interface problems. The method is kernel-free, im…