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

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Abstract:

The demand for rapid procedures to solve Poissons equation has lead to the development of a direct method of solution involving Fourier analysis which can solve Poissons 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

Author(s):
Hockney, R. W.
Author Organization(s):
STANFORD UNIV CA STANFORD ELECTRONICS LABS
Pagination:
0039

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
SU-SEL-64-056, TR-0255-1
Contract/Grant Number(s):
Nonr-225(24), NSF-G948
Project Number(s):
NR373 360
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*FOURIER ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS), (*PARTIAL DIFFERENTIAL EQUATIONS, FOURIER ANALYSIS), CHARGED PARTICLES, ELECTROSTATIC FIELDS, ITERATIONS, BOUNDARY VALUE PROBLEMS
Report Date:
1964 May 01