中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 计算数学与科学工程计算研究所
Capacity of the Adini Element for Biharmonic Equations

文献类型：期刊论文

作者Hu, Jun1,2; Yang, Xueqin3; Zhang, Shuo4
刊名JOURNAL OF SCIENTIFIC COMPUTING
出版日期2016-12-01
卷号69期号:3页码:1366-1383
关键词Biharmonic equation Adini element Error estimate Arbitrary dimension
ISSN号0885-7474
DOI10.1007/s10915-016-0237-2
英文摘要This paper is devoted to the convergence analysis of the Adini element scheme for biharmonic equations in any dimension. In particular, a second order convergence in the energy norm is established provided that the exact solution is in . Surprisingly, it is proved that the convergence rate in the norm can not be nontrivially higher than order. The main ingredient for the analysis is a crucial structure of the Adini element space. Numerics are presented to demonstrate the theoretical results.
资助项目National Natural Science Foundation of China[11271035] ; National Natural Science Foundation of China[91430213] ; National Natural Science Foundation of China[11421101] ; National Natural Science Foundation of China[11101415] ; National Natural Science Foundation of China[11471026]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000387443600017
出版者SPRINGER/PLENUM PUBLISHERS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/24036]  
专题计算数学与科学工程计算研究所
通讯作者Zhang, Shuo
作者单位1.Peking Univ, LMAM, Beijing 100871, Peoples R China
2.Peking Univ, Beijing Int Ctr Math Res, Sch Math Sci, Beijing 100871, Peoples R China
3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC,ICMSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Hu, Jun,Yang, Xueqin,Zhang, Shuo. Capacity of the Adini Element for Biharmonic Equations[J]. JOURNAL OF SCIENTIFIC COMPUTING,2016,69(3):1366-1383.
APA Hu, Jun,Yang, Xueqin,&Zhang, Shuo.(2016).Capacity of the Adini Element for Biharmonic Equations.JOURNAL OF SCIENTIFIC COMPUTING,69(3),1366-1383.
MLA Hu, Jun,et al."Capacity of the Adini Element for Biharmonic Equations".JOURNAL OF SCIENTIFIC COMPUTING 69.3(2016):1366-1383.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。