Fast generation of 2-D node distributions for mesh-free PDE discretizations

AMS Citation:
Fornberg, B., and N. Flyer, 2015: Fast generation of 2-D node distributions for mesh-free PDE discretizations. Computers & Mathematics With Applications, 69, 531-544, doi:10.1016/j.camwa.2015.01.009.
Date:2015-04-01
Resource Type:article
Title:Fast generation of 2-D node distributions for mesh-free PDE discretizations
Abstract: Many applications require that nodes be scattered locally quasi-uniformly within 2-D regions or on curved surfaces in 3-D space, while obeying some prescribed spatially varying density function. This study focuses on creating variable density node layouts that are suitable for mesh-free discretizations of PDEs. Another application is ‘dithering’ to simulate half-tone images. The method is an ‘advancing-front type’ scheme, inspired by the physical process of dropping of variable sized grains into a bucket.
Peer Review:Refereed
Copyright Information:Copyright 2015 Elsevier.
OpenSky citable URL: ark:/85065/d77h1ks6
Publisher's Version: 10.1016/j.camwa.2015.01.009
Author(s):
  • Bengt Fornberg
  • Natasha Flyer - NCAR/UCAR
  • Random Profile

    IT DIRECTOR

    Recent & Upcoming Visitors