Abstract
The Nedelec edge elements are now widely used for numerical analysis of various electromagnetic problems. However, it has not been easy to show their mathematical validity since the formulations associated with the edge elements are usually based on some mixed variational principles on special function spaces. In particular case of the simplest Nedelec simplex elements, the present author formerly showed the discrete compactness which plays essential roles in theoretical analysis of such elements. Here we present some new results on such a property for more general edge elements using an approach slightly different from that employed by Boffi to obtain results on the same subject.
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Kikuchi, F. Theoretical analysis of Nedelec’s edge elements. Japan J. Indust. Appl. Math. 18, 321–333 (2001). https://doi.org/10.1007/BF03168578
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DOI: https://doi.org/10.1007/BF03168578