Alonso Rodriguez, Ana and Hiptmair, Ralf and Valli, Alberto (2003) Mixed finite element approximation of eddy current problems. UNSPECIFIED. (Unpublished)
Finite element approximations of eddy current problems that are entirely based on the magnetic field H are haunted by the need to enforce the algebraic constraint curlH = 0 in non-conducting regions. As an alternative to techniques employing combinatorial Seifert (cutting) surfaces in order to introduce a scalar magnetic potential, we propose mixed multi-field formulations, which enforce the constraint in the variational formulation. In light of the fact that the computation of cutting surfaces is expensive, the mixed finite element approximation is a viable option despite the increased number of unknowns.
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