Boundary Contraction Solution of Laplace's Differential Equation II
- 1 January 1960
- journal article
- Published by Association for Computing Machinery (ACM) in Journal of the ACM
- Vol. 7 (1) , 37-45
- https://doi.org/10.1145/321008.321013
Abstract
In this paper the numerical solution of Laplace's equation for the circle is discussed and consideration is given to the convergence of the solution obtained by the boundary contraction method to the analytic solution. It is proved that in order to achieve this a relation between the mesh sizes in the circumferential and radial direction must exist. It is also demonstrated that the error due to the contraction of boundaries can be made insignificant.Keywords
This publication has 1 reference indexed in Scilit:
- Boundary Contraction Solution of Laplace's Differential EquationJournal of the ACM, 1959