KMS Of Academy of mathematics and systems sciences, CAS
The patch recovery for finite element approximation of elasticity problems under quadrilateral meshes | |
Shi, Zhong-Ci; Xu, Xuejun; Zhang, Zhimin | |
2008 | |
发表期刊 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B |
ISSN | 1531-3492 |
卷号 | 9期号:1页码:163-182 |
摘要 | In this paper, some patch recovery methods are proposed and analyzed for finite element approximation of elasticity problems using quadrilateral meshes. Under a mild mesh condition, superconvergence results are established for the recovered stress tensors. consequently, a posteriori error estimators based on the recovered stress tensors are asymptotically exact. |
关键词 | finite element superconvergence gradient recovery linear elasticity |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000251428200011 |
出版者 | AMER INST MATHEMATICAL SCIENCES |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/5846 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Shi, Zhong-Ci |
作者单位 | 1.Chinese Acad Sci, Inst Comp Math, LSEC, Beijing 100080, Peoples R China 2.Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Peoples R China 3.Wayne State Univ, Dept Math, Detroit, MI 48202 USA |
推荐引用方式 GB/T 7714 | Shi, Zhong-Ci,Xu, Xuejun,Zhang, Zhimin. The patch recovery for finite element approximation of elasticity problems under quadrilateral meshes[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2008,9(1):163-182. |
APA | Shi, Zhong-Ci,Xu, Xuejun,&Zhang, Zhimin.(2008).The patch recovery for finite element approximation of elasticity problems under quadrilateral meshes.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,9(1),163-182. |
MLA | Shi, Zhong-Ci,et al."The patch recovery for finite element approximation of elasticity problems under quadrilateral meshes".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 9.1(2008):163-182. |
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