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Publication date: 1 December 1999

Uwe Pahner, Ronnie Belmans and Kay Hameyer

The standard Newton iteration scheme to solve a non‐linear system of equations obtained from the finite element methods is based on the updating of the field dependent element…

347

Abstract

The standard Newton iteration scheme to solve a non‐linear system of equations obtained from the finite element methods is based on the updating of the field dependent element reluctivity. Usually, the manufacturer of the ferromagnetic material provides a BH‐characteristic as diagram or in the form of a table of data samples. The influence of the material properties, in particular their accurate numerical representation, is significant for the rate of convergence during the Newton iterations. Here, a numerical optimization aiming at a technically smooth non‐linear characteristic is performed to obtain a higher rate of convergence of the Newton iteration scheme.

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COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 18 no. 4
Type: Research Article
ISSN: 0332-1649

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Article
Publication date: 1 December 1999

Ronny Mertens, Uwe Pahner, Ronnie Belmans and Kay Hameyer

Short computation times required for the design and numerical optimisation of electromagnetic devices with the finite element method are obtained using an adaptive mesh refinement…

172

Abstract

Short computation times required for the design and numerical optimisation of electromagnetic devices with the finite element method are obtained using an adaptive mesh refinement algorithm. Less time is spent on the initial mesh generation, while the time needed for refinement is negligible when special data structures are used. But an even more significant reduction in total computation time is achieved with the initialisation of the solution on the generated mesh. Fewer Newton steps are required to solve non‐linear problems compared to a zero initial solution, while the time needed for the projection of the solution is far less than the time needed for a Newton step.

Details

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 18 no. 4
Type: Research Article
ISSN: 0332-1649

Keywords

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