Accession Number : AD0442209

Title :   A FAST DIRECT SOLUTION OF POISSON'S EQUATION USING FOURIER ANALYSIS,

Corporate Author : STANFORD UNIV CA STANFORD ELECTRONICS LABS

Personal Author(s) : Hockney, R. W.

Report Date : MAY 1964

Pagination or Media Count : 39

Abstract : The demand for rapid procedures to solve Poisson's equation has lead to the development of a direct method of solution involving Fourier analysis which can solve Poisson's equation in a square region covered by a 48 x 48 mesh in 0.9 seconds on the IBM 7090. This compares favorably with the best iterative methods which would require about 10 seconds to solve the same problem. The method is applicable to rectangular regions with simple boundary conditions and the maximum observed error in the potential for several random charge distributions is 5 x 10 to the -7th power of the maximum potential change in the region. (Author)

Descriptors :   (*FOURIER ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS), (*PARTIAL DIFFERENTIAL EQUATIONS, FOURIER ANALYSIS), CHARGED PARTICLES, ELECTROSTATIC FIELDS, ITERATIONS, BOUNDARY VALUE PROBLEMS.

Distribution Statement : APPROVED FOR PUBLIC RELEASE