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Third-order Nedelec curl-conforming finite element

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5 Author(s)
L. E. Garcia-Castillo ; Departamento de Teoria de la Senal y Comunicaciones, Univ. de Alcala, Madrid, Spain ; A. J. Ruiz-Genoves ; I. Gomez-Revuelto ; M. Salazar-Palma
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The third-order version of Nedelec's first family of curl-conforming elements over simplices is presented. Following the definition of the element given by Nedelec, the third-order vector basis functions are deduced. The elements thus obtained exhibit some important differences with respect to other higher-order curl-conforming elements appeared in the literature. Among other features, the proposed third-order curl-conforming finite element leads to better conditioned finite-element method matrices.

Published in:

IEEE Transactions on Magnetics  (Volume:38 ,  Issue: 5 )