Pollack Periodica
Volume/Issue:
Volume 4: Issue 2
An implementation of multigrid for 2D edge elements
Authors: Chao Chen 1 and Oszkár Bíró 1
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  • 1 Graz University of Technology Institute for Fundamentals and Theory in Electrical Engineering, IGTE Kopernikusgasse 24 Graz Austria
DOI:
https://doi.org/10.1556/pollack.4.2009.2.4
Page Count:
37–44
Publication Date:
01 Aug 2009
Online Publication Date:
04 Aug 2009
Article Category:
Research Article
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This paper deals with the numerical solution of a two-dimensional (2-D) magnetostatic field problem. Thereby, a finite element method (FEM) with the magnetic vector potential as field variable and a discretization with edge elements is used. For the efficient solution of the obtained matrix equation system, a geometric multigrid solver (MG) is presented which reduces the number of iterations considerably.

  • Bíró O. Edge element formulations of eddy current problems, Computer Methods in Applied Mechanics and Engineering , Elsevier, Amsterdam, No. 169, 1999, pp. 391–405.

    Bíró O. , '', in Computer Methods in Applied Mechanics and Engineering , (1999 ) -.

  • Kuczmann M. Nodal and vector finite element in static and eddy current field problems, Pollack Periodica , Vol. 3, No. 2, 2008, pp. 85–96.

    Kuczmann M. , 'Nodal and vector finite element in static and eddy current field problems ' (2008 ) 3 Pollack Periodica : 85 -96.

    • Search Google Scholar

  • Schinnerl M., Schöberl J., Kaltenbacher M. Nested multigrid methods for the fast numerical computation of 3D magnetic fields, IEEE Trans. Magn. Vol. 36, No. 4, 2000, pp. 1557–1560.

    Kaltenbacher M. , 'Nested multigrid methods for the fast numerical computation of 3D magnetic fields ' (2000 ) 36 IEEE Trans. Magn. : 1557 -1560.

    • Search Google Scholar

  • Weiß B., Bíró O. Smoothing operators for edge element multigrid, IEEE Trans. Magn. Vol. 38, No. 2, 2002, pp. 397–400.

    Bíró O. , 'Smoothing operators for edge element multigrid ' (2002 ) 38 IEEE Trans. Magn. : 397 -400.

    • Search Google Scholar

  • Hackbusch W. Multi-grid methods and applications, Springer-Verlag, Beilin, 1985.

    Hackbusch W. , '', in Multi-grid methods and applications , (1985 ) -.

  • Arnold D. N., Falk R. S., Winter R. Multigrid in H(div) and H(curl), Numer. Math. Vol. 85, No. 2, 2000, pp. 197–217.

    Winter R. , 'Multigrid in H(div) and H(curl) ' (2000 ) 85 Numer. Math. : 197 -217.
Cover Pollack Periodica
Pollack Periodica
Print ISSN:
1788-1994
Online ISSN:
1788-3911
Keywords:
Edge elements; Finite element methods; Multigrid

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