KMS Of Academy of mathematics and systems sciences, CAS
aposteriorerroranalysisforthenonconformingdiscretizationofstokeseigenvalueproblem | |
Jia Shanghui1; Luo Fusheng2; Xie Hehu3 | |
2014 | |
发表期刊 | actamathematicasinicaenglishseries |
ISSN | 1439-8516 |
卷号 | 30期号:6页码:949 |
摘要 | In this paper, we present a posteriori error estimator for the nonconforming finite element approximation, including using Crouzeix-Raviart element and extended Crouzeix-Raviart element, of the Stokes eigenvalue problem. With the technique of Helmholtz decomposition, we first give out a posteriori error estimator and prove it as the global upper bound and local lower bound of the approximation error. Then, by deleting a jump term in the indicator, another simpler but equivalent indicator is obtained. Some numerical experiments are provided to verify our analysis. |
语种 | 英语 |
资助项目 | [National Science Foundation of China] ; [National Center for Mathematics and Interdisciplinary Science] ; [CAS] ; [President Foundation of AMSS-CAS] ; [Program for Innovation Research in Central University of Finance and Economics] |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/41584 |
专题 | 计算数学与科学工程计算研究所 |
作者单位 | 1.中央财经大学 2.The Third Institute of Oceanography, SOA 3.中国科学院数学与系统科学研究院 |
推荐引用方式 GB/T 7714 | Jia Shanghui,Luo Fusheng,Xie Hehu. aposteriorerroranalysisforthenonconformingdiscretizationofstokeseigenvalueproblem[J]. actamathematicasinicaenglishseries,2014,30(6):949. |
APA | Jia Shanghui,Luo Fusheng,&Xie Hehu.(2014).aposteriorerroranalysisforthenonconformingdiscretizationofstokeseigenvalueproblem.actamathematicasinicaenglishseries,30(6),949. |
MLA | Jia Shanghui,et al."aposteriorerroranalysisforthenonconformingdiscretizationofstokeseigenvalueproblem".actamathematicasinicaenglishseries 30.6(2014):949. |
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