Boundary Contraction Solution of Laplace's Differential Equation

Author:

Milnes Harold W.1,Potts Renfrey B.1

Affiliation:

1. General Motors Corporation, Detroit, Michigan

Abstract

A numerical method is introduced for solution of the Dirichlet problem within a circle. The data prescribed on the original boundary is used to compute the solution at mesh points on a concentric circle of slightly smaller radius, thereby defining another boundary value problem over the smaller circle. The solution for the entire region is obtained by successive contractions of the boundary in this way. Appropriate approximating relations are presented and their stability is discussed.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference1 articles.

1. H. Y. MILNES AND R B POTTS Stability criteria for tile numerical solution of partial difforenlial equataons by boundary contraction (to be published) H. Y. MILNES AND R B POTTS Stability criteria for tile numerical solution of partial difforenlial equataons by boundary contraction (to be published)

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Renfrey Burnard Potts 1925–2005;Historical Records of Australian Science;2014

2. A natural radial scheme for laplace's equation;International Journal of Computer Mathematics;1994-01

3. Identification Problems in Electrocardiology;Moderne Methoden der Numerischen Mathematik;1976

4. FINITE-DIFFERENCE METHODS;Analysis and Computation of Electric and Magnetic Field Problems;1973

5. Solution of Laplace's equation by boundary contraction over regions of irregular shape;Numerische Mathematik;1962-12

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