Optimizing ferromagnetic characteristics to reduce Newton iterations. Pahner, U., Belmans, R., & Hameyer, K. *COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering*, 18(4):629–637, 1999. doi abstract bibtex 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.

@Article{ Pahner_1999aa,
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.},
author = {Pahner, Uwe and Belmans, Ronnie and Hameyer, Kay},
doi = {10.1108/03321649910296672},
file = {Pahner_1999aa.pdf},
issn = {0332-1649},
journal = {COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering},
keywords = {newton,materials,modeling,interpolation,magnetics,fem,hb},
langid = {english},
number = {4},
pages = {629--637},
title = {Optimizing ferromagnetic characteristics to reduce {Newton} iterations},
volume = {18},
year = {1999},
shortjournal = {COMPEL}
}

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