Application of Preconditioning Iterative Methods to the Numerical Calculation  with a Boundary-Fitted Coordinate System

Hiroyuki Hirano, Hiroshi Niki and Naotaka Okamoto

Preconditioning Iterative Method, Numerical Grid Generation,Boundary-Fitted Coordinate
Preconditioning iterative methods are applied to obtain a finite-difference solution of Laplace's equation in a boundary-fitted coordinate system. The coordinate system is obtained by the numerical grid generation using a finite-difference solution of a partial differential equation on an arbitrarily shaped region. It is concluded that preconditioning is quite effective to reduce the number of iterations in solving 
Laplace's equation in a boundary-fitted coordinate system.

Information, Vol.5, No.3, pp.297-305