A Study of LaPlace's and Poisson's Equations in Three Dimensions Using Numerical Green's Functions.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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A study of LaPlaces and Poissons equations, applied to the rectangular parallelepiped, was conducted using the CDC 6600 computer. The speed and accuracy of the numerical Greens function solutions were probed and compared with standard analytical and difference equation approaches. The Greens functions were obtained from both analytic and difference expressions. Successive overrelaxation SOR was used with iterative techniques. Some optimum relaxation factors for LaPlaces and Poissins equations in rectangular parallelepiped geometry are listed for dimensions two by two by two throgh 20 by 20 by 20. Author
- Theoretical Mathematics