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A deflated iterative solver for magnetostatic finite element models with large differences in permeability*

Published online by Cambridge University Press:  15 January 2001

H. De Gersem  and
K. Hameyer
H. De Gersem*
Affiliation:
Katholieke Universiteit Leuven, Dep. ESAT, Div. ELEN, Kardinaal Mercierlaan 94, 3001 Leuven, Belgium
K. Hameyer
Affiliation:
Katholieke Universiteit Leuven, Dep. ESAT, Div. ELEN, Kardinaal Mercierlaan 94, 3001 Leuven, Belgium
*
[email protected]
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Abstract

The presence of materials with a relative large difference in permeability has a harmful influence on the convergence of Krylov subspace iterative solvers. Some slow converging components are not cured by preconditioning and correspond to eigenvectors reflecting the domains with relatively low permeable material. Approximations for those eigenvectors are determined using physical knowledge of the problem. The iterative solution process is split up in a small problem counting for the separated eigenmodes and a full-size problem out of which the slow converging modes are removed. This deflated preconditioned solver is faster converging compared to more common approaches, such as the incomplete Cholesky conjugate gradient method.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 13 , Issue 1 , January 2001 , pp. 45 - 49
Copyright
© EDP Sciences, 2001

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Footnotes

*

This paper has been presented at NUMELEC 2000.

References

Clemens, M., Schuhmann, R., van Rienen, U., Weiland, T., ACES Journal on Applied Mathematics: meeting the challenges presented by Comput. Electromagn. 11, 1 (1996).
Tsukerman, I., Plaks, A., IEEE Trans. Magn. 35, 3 (1999).
Y. Saad, Iterative Methods for Sparse Linear Systems (PWS Publishing Company, Boston, 1996).
R. Barrett, M. Berry, T. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, H. Van der Vorst, Templates for the solution of linear systems: building blocks for iterative methods (SIAM, Philadelphia, 1994).
Fujiwara, K., Nakata, T., Fusayasu, H., IEEE Trans. Magn. 29, 2 (1993).
A. Chapman, Y. Saad, University of Minnesota Report No. umsi-95-181, 1995 (unpublished).
Vuik, C., Segal, A., Meijerink, J.A., J. Comp. Phys. 152, 385 (1999). CrossRef
Kaasschieter, E.F., J. Compl. Appl. Math. 24, 265 (1988). CrossRef