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Differential material matrices for the finite integration technique

Published online by Cambridge University Press:  16 August 2007

H. De Gersem ,
I. Munteanu  and
T. Weiland
H. De Gersem*
Affiliation:
Katholieke Universiteit Leuven, Campus Kortrijk, Etienne Sabbelaan 53, 8500 Kortrijk, Belgium
I. Munteanu
Affiliation:
Computer Simulation Technology, Bad Nauheimer Straße 19, 64289 Darmstadt, Germany
T. Weiland
Affiliation:
Institut für Theorie Elektromagnetischer Felder, Technische Universität Darmstadt, Schloßgartenstraße 8, 64289 Darmstadt, Germany
*
[email protected]
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Abstract

In this paper, differential conductivity and reluctivity matricesare constructed for formulations discretised by the finiteintegration technique and linearised by the Newton method. It turnsout that these matrices are nondiagonal and unsymmetric, even in thecase that orthogonal grids are used. A diagonal approximation of thedifferential matrices leads to an approximate Newton method wherecross-magnetisation effects are no longer considered, except in theupdate between the successive nonlinear iteration steps. The approximate method does not guarantee second order convergence but outperforms the true Newton method when only a moderate accuracy is required.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 39 , Issue 2: NUMELEC 2006 , August 2007 , pp. 165 - 169
Copyright
© EDP Sciences, 2007

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