74 citations · 200 across the 12 of their papers we have counts for
3 papers · 2 filters
A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels
Pankaj K Mishra, Gregory E Fasshauer, Mrinal K Sen +1
Recent developments have made it possible to overcome grid-based limitations of finite difference (FD) methods by adopting the kernel-based meshless framework using radial basis fu…
An RBF-FD closest point method for solving PDEs on surfaces
Argyrios Petras, Leevan Ling, Steven J. Ruuth
Partial differential equations (PDEs) on surfaces appear in many applications throughout the natural and applied sciences. The classical closest point method (Ruuth and Merriman, J…
--Convergence of least-squares kernel collocation methods
Ka-Chun Cheung, Leevan Ling, Robert Schaback
The strong-form asymmetric kernel-based collocation method, commonly referred to as the Kansa method, is easy to implement and hence is widely used for solving engineering problems…