English

GPU accelerated RBF-FD solution of Poisson's equation

Numerical Analysis 2022-01-28 v1 Numerical Analysis

Abstract

The Radial Basis Function-generated finite differences became a popular variant of local meshless strong form methods due to its robustness regarding the position of nodes and its controllable order of accuracy. In this paper, we present a GPU accelerated numerical solution of Poisson's equation on scattered nodes in 2D for orders from 2 up to 6. We specifically study the effect of using different orders on GPU acceleration efficiency.

Cite

@article{arxiv.2107.03632,
  title  = {GPU accelerated RBF-FD solution of Poisson's equation},
  author = {Mitja Jančič and Jure Slak and Gregor Kosec},
  journal= {arXiv preprint arXiv:2107.03632},
  year   = {2022}
}
R2 v1 2026-06-24T03:59:22.112Z