Third-order Nédélec curl-conforming finite element

IEEE Transactions on Magnetics (Impact Factor: 1.39). 38.


The third-order version of Nédélec's first family of curl-conforming elements over simplices is presented. Following the definition of the element given by Nédélec, the third-order vector basis functions are deduced. The elements thus ob-tained 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. Index Terms—Curl-conforming element, finite element calcula-tions, Nédélec elements, third-order element.

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