## Quadrature Errors, Discrepancies, and Their Relations to Halftoning on the Torus and the Sphere

- Manuel Gräf, Daniel Potts, Gabriele Steidl
- SIAM J. Scientific Computing
- 2012

Highly Influenced

@article{Flyer2010RotationalTO, title={Rotational transport on a sphere: Local node refinement with radial basis functions}, author={Natasha Flyer and Erik Lehto}, journal={J. Comput. Physics}, year={2010}, volume={229}, pages={1954-1969} }

- Published 2010 in J. Comput. Physics
DOI:10.1016/j.jcp.2009.11.016

This paper develops an algorithm for radial basis function (RBF) local node refinement and implements it for vortex roll-up and transport on a sphere. A heuristic based on an electrostatic repulsion type principle is used to re-distribute the nodes, clustering in areas where higher resolution is needed. It is then important to have a scheme that varies the shape of the RBFs over the domain so as to counteract the effects of Runge phenomena where the nodes are sparse. The roll-up of two… CONTINUE READING