2 papers
math.NA2025
The Closest Point Method for Surface PDEs with General Boundary Conditions
Tony Wong, Colin B. Macdonald, Byungjoon Lee
We generalize the closest point method (CPM) to solve surface partial differential equations with general boundary conditions. The proposed extrapolation method provides a unified…
math.NA2025
The Closest Point Heat Method for Solving Eikonal Equations on Implicit Surfaces
Tony Wong, Shingyu Leung, Byungjoon Lee
We introduce the Closest Point Heat Method (CPHM), a novel approach for solving the surface Eikonal equation on general smooth surfaces. Building on the strengths of the classical…