Abstract
In this paper, we introduce new curl conforming elements of higher order \((k\ge 1)\) on parallelepiped. This element has smaller number of degrees of freedom than the well known Nedelec spaces do, however, one can still obtain the same convergence order. To prove error estimate for curl conforming finite element methods, we also define the corresponding divergence conforming elements. Some efficient way of implementing our element is discussed in Remarks 2 and 3.
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J. H. Kim was supported by Hannam University Research Fund.
Do Y. Kwak was supported by the Korea Research Foundation Grant, Contract No. 2010-0025009.
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Kim, J.H., Kwak, D.Y. New curl conforming finite elements on parallelepiped. Numer. Math. 131, 473–488 (2015). https://doi.org/10.1007/s00211-015-0696-7
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DOI: https://doi.org/10.1007/s00211-015-0696-7