activity
20122026
most citedHyperviscosity-Based Stabilization for Radial Basis Function-Finite Difference (RBF-FD) Discretizations of Advection-Diffusion Equations

71 citations · 178 across the 19 of their papers we have counts for

collaborators
Showing 2018Show all

2 papers · 1 filter

math.NA2018★ 71 cited

Hyperviscosity-Based Stabilization for Radial Basis Function-Finite Difference (RBF-FD) Discretizations of Advection-Diffusion Equations

Varun Shankar, Aaron L. Fogelson

We present a novel hyperviscosity formulation for stabilizing RBF-FD discretizations of the advection-diffusion equation. The amount of hyperviscosity is determined quasi-analytica…

cs.DS2018

Robust Node Generation for Meshfree Discretizations on Irregular Domains and Surfaces

Varun Shankar, Robert M. Kirby, Aaron L. Fogelson

We present a new algorithm for the automatic one-shot generation of scattered node sets on irregular 2D and 3D domains using Poisson disk sampling coupled to novel parameter-free,…