International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 2, Pages 289-298
doi:10.1155/S0161171298000404
Theoretical consideration of charge simulation method for numerical conformal mappings in a ring domain
Tetsuo Inoue
Department of Applied Mathematics, Kobe Mercantile Marine College Higashinada, Fukae-Minami 5-1-1, Kobe 658, Japan
Abstract
The charge simulation method has been applied to solve a lot of problems in electrical engineering. However, the principle of the method is not known enough even now. This paper is devoted to giving the theoretical and mathematical base for the charge simulation method of numerical conformal mappings in ring domains. Therefore for example, the uniform, convergence of approximations, the theoretical distribution of charge points, and the charges will be mathematically discussed. An example is shown to help understanding of theoretical considerations.