DocumentCode
1118574
Title
A New Method for Initial Estimates in the Numerical Solution of Laplace´s Equation
Author
Molberg, James R. ; Reynolds, Donald K.
Author_Institution
Auckland Technical Institute
Issue
6
fYear
1975
fDate
6/1/1975 12:00:00 AM
Firstpage
678
Lastpage
680
Abstract
In the solution of the Laplace equation using finite difference methods, the iteration is often started with all interior points set equal to zero. It has been found that providing initial estimates for the potentials at these interior points can reduce the number of iterations required to reach convergence. This paper presents a technique which is easy to program and may reduce the total computation time significantly.
Keywords
Laplace equation, numerical analysis, partial differential equations.; Boundary conditions; Difference equations; Differential equations; Finite difference methods; Laplace equations; Numerical analysis; Partial differential equations; Virtual reality; Laplace equation, numerical analysis, partial differential equations.;
fLanguage
English
Journal_Title
Computers, IEEE Transactions on
Publisher
ieee
ISSN
0018-9340
Type
jour
DOI
10.1109/T-C.1975.224283
Filename
1672876
Link To Document