Solution of Poisson's Equation on a Sphere by Truncated Double Fourier Series
A method for solving Poisson's equation on the surface of a sphere is given. The method uses truncated double Fourier series expansions on the sphere and invokes the Galerkin approximation. It has an operation count of approximately 12J super(2) (1 + log sub(2) J) for a latitude-longitude grid...
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| Veröffentlicht in: | Monthly weather review 1981-01, Vol.109 (3), p.501-505 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | A method for solving Poisson's equation on the surface of a sphere is given. The method uses truncated double Fourier series expansions on the sphere and invokes the Galerkin approximation. It has an operation count of approximately 12J super(2) (1 + log sub(2) J) for a latitude-longitude grid containing 2J(J - 1) + 2 data points. Numerical results are presented to demonstrate the method's accuracy and efficiency. |
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| ISSN: | 0027-0644 1520-0493 |
| DOI: | 10.1175/1520-0493(1981)109<0501:SOPEOA>2.0.CO;2 |