2 papers
math.NA2026
Trajectory-Based RBF Collocation Method via Closest-Point Embedding for Surface Advection-Diffusion Equations
Xiaobin Li, Leevan Ling, Yizhong Sun
We introduce a Trajectory-Based RBF Collocation (TBRBF) method for solving surface advection-diffusion equations on smooth, compact manifolds. TBRBF decouples advection and diffusi…
math.NA2023
Simulating time-harmonic acoustic wave effects induced by periodic holes/inclusions on surfaces
Wen Hu, Zhuojia Fu, Leevan Ling
This paper introduces the first attempt to employ a localized meshless method to analyze time-harmonic acoustic wave propagation on curved surfaces with periodic holes/inclusions.…