Alonso Rodríguez, Ana; Valli, Alberto; Vázquez Hernández, Rafael A formulation of the eddy current problem in the presence of electric ports. (English) Zbl 1179.78016 Numer. Math. 113, No. 4, 643-672 (2009). Summary: The time-harmonic eddy current problem with either voltage or current intensity excitation is considered. We propose and analyze a new finite element approximation of the problem, based on a weak formulation where the main unknowns are the electric field in the conductor, a scalar magnetic potential in the insulator and, for the voltage excitation problem, the current intensity. The finite element approximation uses edge elements for the electric field and nodal elements for the scalar magnetic potential, and an optimal error estimate is proved. Some numerical results illustrating the performance of the method are also presented. Cited in 4 Documents MSC: 78A30 Electro- and magnetostatics 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35J56 Boundary value problems for first-order elliptic systems 35Q60 PDEs in connection with optics and electromagnetic theory 78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory PDFBibTeX XMLCite \textit{A. Alonso Rodríguez} et al., Numer. Math. 113, No. 4, 643--672 (2009; Zbl 1179.78016) Full Text: DOI Link References: [1] Alonso A., Valli A.: Some remarks on the characterization of the space of tangential traces of H(rot; {\(\Omega\)}) and the construction of an extension operator. Manuscr. Math. 89, 159–178 (1996) · Zbl 0856.46019 [2] Alonso A., Valli A.: An optimal domain decomposition preconditioner for low-frequency time- harmonic Maxwell equations. Math. 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