Icosahedral Discretization of the Two-Sphere

• DOI: 10.1137/0722066
• Publication Date: 2005-02-28T01:49:17Z
• Authors: John R. Baumgardner; Paul O. Frederickson
• Keywords: 0101 mathematics; 01 natural sciences

We present an almost uniform triangulation of the two-sphere, derived from icosahedron, and describe a procedure for discretization partial differential equation using this triangular grid. The accuracy our is described by strong theoretical estimate, verified large-scale numerical experiments. also data structure spherical that allows fast computation on either vector computer or asynchronous parallel computer.