carrier image

Elliptic Fekete points obtained by Ginzburg-Landau PDE

Jezdimirovic, Jovana, Alexandre Chemin, Pierre-Alexandre Beaufort, Jean-François Remacle

Research Notes, 26th International Meshing Roundtable, Sandia National Laboratories, September 18-21 2017

INTERNATIONAL
MESHING
ROUNTABLE

26th International Meshing Roundtable
Barcelona, Spain
September 18-21, 2017

Jovana Jezdimirovic, Université catholique de Louvain, BE, jovana.jezdimirovic@uclouvain.be
Alexandre Chemin, Université catholique de Louvain, BE, alexandre.chemin@uclouvain.be
Pierre-Alexandre Beaufort, Université catholique de Louvain, BE, pierre-alexandre.beaufort@uclouvain.be
Jean-François Remacle, Université catholique de Louvain, BE, jean-francois.remacle@uclouvain.be

Research Note Abstract
The aim of the paper is to present solutions of Thomson’s problem i.e. the determination of the minimum potential energy location of N points x i , i = 1, . . . , N on the 2-sphere. The specific case that is treated here is the Fekete problem where points repel each other with a force that depends on the logarithm of their respective distance. This paper presents a method to compute Fekete points by solving a partial differential equation that is usually used for computing cross fields. This approach is quite uncommon and quite competitive for N large.

Download Full Paper (PDF)


Contact author(s) or publisher for availability and copyright information on above referenced article