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A method for the solution of Poisson's equation on the surface of a sphere is given. The method makes use of truncated double Fourier series expansions on the sphere and invokes the Galerkin approximation. It has an operation count of approximately I2J2(1 + log2J) for a latitude-longitude grid containing 2J(J − 1) + 2 data points. Numerical results are presented to demonstrate the method's accuracy and efficiency.
A method for the solution of Poisson's equation on the surface of a sphere is given. The method makes use of truncated double Fourier series expansions on the sphere and invokes the Galerkin approximation. It has an operation count of approximately I2J2(1 + log2J) 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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|---|---|---|---|
| Abstract Views | 0 | 0 | 0 |
| Full Text Views | 351 | 209 | 6 |
| PDF Downloads | 150 | 33 | 2 |
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