88 citations · 309 across the 22 of their papers we have counts for
3 papers · 2 filters
An Efficient High-Order Meshless Method for Advection-Diffusion Equations on Time-Varying Irregular Domains
Varun Shankar, Grady B. Wright, Aaron L. Fogelson
We present a high-order radial basis function finite difference (RBF-FD) framework for the solution of advection-diffusion equations on time-varying domains. Our framework is based…
A Partition of Unity Method for Divergence-free or Curl-free Radial Basis Function Approximation
Kathryn P. Drake, Edward J. Fuselier, Grady B. Wright
Divergence-free (div-free) and curl-free vector fields are pervasive in many areas of science and engineering, from fluid dynamics to electromagnetism. A common problem that arises…
A stable algorithm for divergence-free radial basis functions in the flat limit
Kathryn P. Drake, Grady B. Wright
The direct method used for calculating smooth radial basis function (RBF) interpolants in the flat limit becomes numerically unstable. The RBF-QR algorithm bypasses this ill-condit…