A Study of LaPlace's and Poisson's Equations in Three Dimensions Using Numerical Green's Functions.
Abstract
A study of LaPlace's and Poisson's equations, applied to the rectangular parallelepiped, was conducted using the CDC 6600 computer. The speed and accuracy of the numerical Green's function solutions were probed and compared with standard analytical and difference equation approaches. The Green's functions were obtained from both analytic and difference expressions. Successive overrelaxation (SOR) was used with iterative techniques. Some optimum relaxation factors for LaPlace's and Poissin's equations in rectangular parallelepiped geometry are listed for dimensions two by two by two throgh 20 by 20 by 20. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1972
- Accession Number
- AD0745429
Entities
People
- Philip Francis Fry Jr
Organizations
- Air Force Institute of Technology