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A novel field-based mixed formulation of magnetostatics

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5 Author(s)
Brezzi, F. ; Dipartimento di Matematica, Pavia Univ., Italy ; Marini, L.D. ; Perugia, I. ; Di Barba, P.
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A mixed variational formulation in 2-D magnetostatics is presented and discussed. The method treats B and H as direct unknowns and relies on the minimization of the error on the constitutive law, taking Maxwell's equations as constraints. The numerical discretization, based on the lowest order Raviart-Thomas-Nedelec element, is reported. The potential advantages of this innovative method for engineering applications-like the fulfilment of continuity equations-are pointed out and a case study is presented. A computer code has been implemented and a number of numerical experiments have been performed to validate the proposed methodology

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Magnetics, IEEE Transactions on  (Volume:32 ,  Issue: 3 )