Superconvergence of both the Crouzeix–Raviart and Morley elements

Jun Hu, Rui Ma*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

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 languageEnglish
Pages (from-to)491-509
Number of pages19
JournalNumerische Mathematik
Volume132
Issue number3
DOIs
Publication statusPublished - 1 Mar 2016
Externally publishedYes

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