A New Kind of Trivariate C 1 Macro-element |
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| Authors: | Lai Ming-Jun LeM&#;haut&#; A |
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| Institution: | 1. Department of Mathematics, The University of Georgia, Athens, GA, 30602, USA
2. CNRS UMR 6629, Department of Mathematics, University of Nantes, 44072, Nantes, France
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| Abstract: | We propose a construction of a trivariate C 1 macro-element over a special tetrahedral partition and compare our construction with known C 1 macro-elements which are summarized in this paper. Also, we propose an improvement of the Alfeld construction of a C 1 quintic macro-element such that the new scheme is able to reproduce all polynomials of total degree ≤5. |
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