Abstract
In this paper, a new method is proposed to prove the superconvergence of both the Crouzeix–Raviart and Morley elements. The main idea is to fully employ equivalences with the first order Raviart–Thomas element and the first order Hellan–Herrmann–Johnson element, respectively. In this way, some special conformity of discrete stresses is explored and superconvergence of mixed elements can be used to analyze superconvergence of nonconforming elements. Finally, the superconvergence of one and a half order by postprocessing is proved for both nonconforming elements.
Original language | English |
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Pages (from-to) | 491-509 |
Number of pages | 19 |
Journal | Numerische Mathematik |
Volume | 132 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Mar 2016 |
Externally published | Yes |
Keywords
- 35J25
- 65N15
- 65N30
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Hu, J., & Ma, R. (2016). Superconvergence of both the Crouzeix–Raviart and Morley elements. Numerische Mathematik, 132(3), 491-509. https://doi.org/10.1007/s00211-015-0729-2