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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.

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1991 Weiß B., Bíró O. Multigrid for time-harmonic 3d eddy-current analysis with edge elements, IEEE Trans. Mag. , Vol. 41, No. 5, 2005, pp. 1712

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electrical machines 1993 Chen C., Bíró O. An implementation of multigrid for 2D edge elements, Pollack Periodica , Vol. 4, No

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263 274 Kameari A. Three-dimensional eddy current calculation using edge elements for magnetic vector potential, J. Applied Electromagnetic in Material , Vol. 225, 1989, pp

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119 134 Chen C., Bíró O., An implementation of multigrid for 2D edge elements, Pollack Periodica , Vol. 4, No. 2, 2009, pp. 37

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be used to simulate 3-D structures. The simulations considered cyclic removal of edge elements based on their exposed surface, i.e. reactive edge length. An arbitrary probability of removal ( P 1 ) is assigned to a single exposed edge per

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