Double Fourier Series Solution of Poisson's Equation on a Sphere.
Environmental research papers,
AIR FORCE GEOPHYSICS LAB HANSCOM AFB MA
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Advances in numerical simulation and prediction in disciplines as diverse as geophysical fluid dynamics, heat transfer, and nuclear and plasma physics have generated, in recent years, considerable interest in the method of solution for Poisson-type equations. A method for the solution of Poissons 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 12J sq1 log sub 2 J for a latitude-longitude grid containing 2J x J-1 2 data points. Numerical results are presented to demonstrate the methods accuracy and efficiency. Author
- Theoretical Mathematics