A hybrid Picard-Newton acceleration scheme for non-linear timeharmonic problems

Conference: CEM 2006 - 6th International Conference on Computational Electromagnetics
04/04/2006 - 04/06/2006 at Aachen, Germany

Proceedings: CEM 2006

Pages: 2Language: englishTyp: PDF

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Sande, Hans Vande (Atlas Copco Airpower, Wilrijk, Belgium)
Boonen, Tim (KU Leuven, Department of Computer Science, Leuven, Belgium)
Gersem, Herbert De (TU Darmstadt, Institut für Theorie Elektromagnetischer Felder, Darmstadt, Germany)
Henrotte, François; Hameyer, Kay (RWTH Aachen, Institut für Elektrische Maschinen, Aachen, Germany)

This paper presents a combined Picard-Newton scheme for iteratively solving equations. The solution process is started by performing Picard-iterations. As soon as an estimator indicates that the expected convergence rate of the Newton-strategy is close to quadratic, Newton-iterations take over the solution process. This hybrid approach yields a shorter overall computation time. The method is illustrated for the two-dimensional simulation of the short-circuit operation of a 400 kW induction motor.