Acceleration Method of Iteration Calculation Using Pade Approximation

Abstract

An iteration method using the Pade approximation is described to accelerate the inner iteration of finite difference equations of two-dimensional diffusion equation. In the case of void problems where the system includes regions of very low density, the convergence rate of the usual iteration method becomes extremely slow, and it becomes often impossible to obtain a converged solution. It is found that the present method using the Pade approximation can give the converged solution for such void problems.