Title :
Speedup of Nonlinear Iterative Scheme by Utilizing Convergence Characteristics of Newton-Raphson Method and ICCG Method
Author :
Okamoto, Yoshifumi ; Fujiwara, Koji ; Kameari, Akihisa
Author_Institution :
Adv. Center for Comput. & Commun., The Inst. of Phys. & Chem. Res., Saitama
Abstract :
Generally, nonlinear magnetic field problems are computed by using an iterative matrix solver such as the ICCG method for linear equations obtained from a nonlinear iterative procedure of the Newton-Raphson method. In this paper, a method of selecting an efficient convergence criterion for the nonlinear analysis, which utilizes convergence characteristics of those two iterative methods, was investigated to reduce the total computation time
Keywords :
Newton-Raphson method; convergence of numerical methods; matrix algebra; nonlinear equations; ICCG; Newton-Raphson method; convergence criterion; iterative matrix solver; linear equations; nonlinear iterative scheme; nonlinear magnetic field problems; Coils; Convergence; Iterative methods; Magnetic analysis; Magnetic flux; Magnetic shielding; Magnetostatics; Newton method; Nonlinear equations; Nonlinear magnetics;
Conference_Titel :
Electromagnetic Field Computation, 2006 12th Biennial IEEE Conference on
Conference_Location :
Miami, FL
Print_ISBN :
1-4244-0320-0
DOI :
10.1109/CEFC-06.2006.1633257
