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math.NA2026
Kernel-free Boundary Integral Methods for Allen-Cahn and Cahn-Hilliard Equations on Irregular Domains
Xinru Liu, Pensong Yin, Wenjun Ying +1
A unified kernel-free boundary integral (KFBI) framework is proposed for the Allen-Cahn and Cahn Hilliard equations with homogeneous no-flux boundary conditions on two- and three-d…
math.NA2026
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…