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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