Alonso Rodriguez, Ana and Bertolazzi, Enrico and Ghiloni, Riccardo and Valli, Alberto (2014) Finite element simulation of eddy current problems using magnetic scalar potentials. Trento : Università degli studi di Trento. Dipartimento di Matematica.
Abstract
We propose a new implementation of the finite element approximation of eddy current problems using as principal unknown the magnetic field. In the non-conducting region a scalar magnetic potential is introduced. The method can deal automatically with any topological configuration of the conducting region and, being based on the search of a scalar magnetic potential in the non-conducting region, has the advantage of making use of a reduced number of unknowns. Several numerical tests are presented for illustrating the performance of the proposed method; in particular, the numerical simulation of a new type of transformer of complicated topological shape is shown.
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