88 citations · 309 across the 22 of their papers we have counts for
25 papers
A high-order, meshless, Lagrangian--Eulerian RBF-FD method for advection--diffusion--reaction on moving manifolds
Matthew Lowery, Grady B. Wright, Varun Shankar
We present a high-order radial basis function-generated finite difference (RBF-FD) method for partial differential equations on moving manifolds o…
Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives
Andrew M. Jones, Peter A. Bosler, Paul A. Kuberry +1
Approximating differential operators defined on two-dimensional surfaces is an important problem that arises in many areas of science and engineering. Over the past ten years, loca…
MGM: A meshfree geometric multilevel method for systems arising from elliptic equations on point cloud surfaces
Grady B. Wright, Andrew M. Jones, Varun Shankar
We develop a new meshfree geometric multilevel (MGM) method for solving linear systems that arise from discretizing elliptic PDEs on surfaces represented by point clouds. The metho…
Implicit Surface Reconstruction with a Curl-free Radial Basis Function Partition of Unity Method
Kathryn P. Drake, Edward J. Fuselier, Grady B. Wright
Surface reconstruction from a set of scattered points, or a point cloud, has many applications ranging from computer graphics to remote sensing. We present a new method for this ta…
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…