Icosahedral Discretization of the Two-Sphere

We present an almost uniform triangulation of the two-sphere, derived from the icosahedron, and describe a procedure for discretization of a partial differential equation using this triangular grid. The accuracy of our procedure is described by a strong theoretical estimate, and verified by large-sc...

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Veröffentlicht in:	SIAM journal on numerical analysis 1985-12, Vol.22 (6), p.1107-1115
Hauptverfasser:	Baumgardner, John R., Frederickson, Paul O.
Format:	Artikel
Sprache:	eng
Schlagworte:	Accuracy Coordinate systems Differential equations Dyadics Exact sciences and technology Inner products Mathematical vectors Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, miscellaneous problems Sciences and techniques of general use Spherical harmonics Triangles Triangulation Vertices
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Beschreibung
Zusammenfassung:	We present an almost uniform triangulation of the two-sphere, derived from the icosahedron, and describe a procedure for discretization of a partial differential equation using this triangular grid. The accuracy of our procedure is described by a strong theoretical estimate, and verified by large-scale numerical experiments. We also describe a data structure for this spherical discretization that allows fast computation on either a vector computer or an asynchronous parallel computer.
ISSN:	0036-1429 1095-7170
DOI:	10.1137/0722066