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Superconvergence of both the Crouzeix-Raviart and Morley elements
Hu, Jun ; Ma, Rui
2016
关键词NONCONFORMING FINITE-ELEMENT PLATE BENDING PROBLEMS ACCURACY ANALYSIS BIHARMONIC EQUATION STOKES EQUATIONS GRIDS
英文摘要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.; NSFC [11271035, 91430213, 11421101]; SCI(E); ARTICLE; hujun@math.pku.edu.cn; maruipku@gmail.com; 3; 491-509; 132
语种英语
出处SCI
出版者NUMERISCHE MATHEMATIK
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/438547]  
专题数学科学学院
推荐引用方式
GB/T 7714
Hu, Jun,Ma, Rui. Superconvergence of both the Crouzeix-Raviart and Morley elements. 2016-01-01.
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