Istituto di Matematica Applicata e Tecnologie Informatiche     
Boffi D. Discrete compactness and Fortin operator for edge elements. Preprint ercim.cnr.ian//1998-1085, 1998.
The basic properties of the edge elements are proved in the original papers by Nedelec. In the two-dimensional case the edge elements are isomorphic to the face elements (also known as Raviart--Thomas elements), so that all known results concerning face elements can be easily formulated for edge elements. In three-dimensional domains this is not the case. The aim of the present paper is to show how to construct a Fortin operator which converges uniformly to the identity. The construction is proved for the lowest-order tetrahedral edge elements in general geometries and can be applied to the analysis of the approximation of the time-harmonic Maxwell's system.
Subject Edge elements, Fortin operator

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