8 papers · 1 filter
A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains
Han Zhou, Yoichiro Mori, Lingxing Yao
We develop a Cartesian grid method for advection--diffusion equations with Robin boundary conditions on moving domains. The moving-domain problem is reformulated as an interface pr…
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…
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…
Modeling and Simulation of Open Membranes in Stokes Flow with Mixed-Dimensional Coupling
Han Zhou, Yuan-Nan Young, Yoichiro Mori
In this work, we present a mathematical and computational framework to model the dynamics of open lipid bilayer membranes interacting with ambient Stokes flow. The model explicitly…
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…