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Inf-sup stable non-conforming finite elements of arbitrary order on triangles |
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| Authors: | Gunar Matthies Lutz Tobiska |
| Institution: | 1. Fakult?t für Mathematik, Ruhr-Universit?t Bochum, Universit?tsstra?e 150, 44780, Bochum, Germany 2. Institut für Analysis und Numerik, Otto-von-Guericke-Universit?t Magdeburg, PSF 4120, 39106, Magdeburg, Germany |
| Abstract: | We introduce a family of scalar non-conforming finite elements of arbitrary order k≥1 with respect to the H1-norm on triangles. Their vector-valued version generates together with a discontinuous pressure approximation of order k−1 an inf-sup stable finite element pair of order k for the Stokes problem in the energy norm. For k=1 the well-known Crouzeix-Raviart element is recovered. |
| Keywords: | 65N12 65N30 |
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