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Abstract
This article develops an algorithm to estimate the asymptotic rates of convergence of the residual vector norm of a system of equations when it is solved by the modified strong implicit procedure (MSIP). This algorithm is used to develop an adaptive optimization procedure in order to improve MSIP performance during problem solution. This eliminates the trial-and-error method usually necessary to determine the optimum value of the iteration parameter. Five problems are used to test the new algorithm. The results show that the optimized MSIP can be many times faster than the original procedure for a nonoptimal value of its iteration parameter.
Notes
Address correspondence to Professor Paulo L. C. Lage, Programa de Engenharia Quimica, COPPE, Universidade Federal do Rio de Janeiro, Ilha do Fundão, Caixa Postal 68502, CEP 21.945-970 Rio de Janeiro, RJ, Brazil. E-mail: [email protected]