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Published in:
2016 | OriginalPaper | Chapter
Analysis of a T, ϕ −ϕ Formulation of the Eddy Current Problem Based on Edge Finite Elements
Authors : Alfredo Bermúdez, Marta Piñeiro, Rodolfo Rodríguez, Pilar Salgado
Published in: Numerical Mathematics and Advanced Applications ENUMATH 2015
Publisher: Springer International Publishing
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Abstract
The goal of this work is the analysis of a time-harmonic eddy current model with prescribed current intensities imposed on the boundary of the conducting domain. We will study a \(\boldsymbol{T},\phi -\phi\) formulation, which combines a current vector potential \(\boldsymbol{T}\) with a scalar potential ϕ. A significant advantage of this method is that the expensive vector unknown \(\boldsymbol{T}\) has to be computed only in conductors. Moreover, the proposed numerical method avoids the building of cutting surfaces what is very convenient in the case of complex geometries.