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math.NA2025
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…
math.NA2025★ 1 cited
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…