Fortin operator and discrete compactness for edge elements

@article{Boffi2000FortinOA,
  title={Fortin operator and discrete compactness for edge elements},
  author={Daniele Boffi},
  journal={Numerische Mathematik},
  year={2000},
  volume={87},
  pages={229-246}
}
The basic properties of the edge elements are proven in the original papers by Ńed́elec [22,23]. In the two-dimensional case the edge elements are isomorphic to the face elements (the well-known Raviart– Thomas elements [24]), 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 in the… CONTINUE READING