KMS Of Academy of mathematics and systems sciences, CAS
Analysis of finite dimensional approximations to a class of partial differential equations | |
Bao, G; Zhou, AH | |
2004-11-25 | |
发表期刊 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES |
ISSN | 0170-4214 |
卷号 | 27期号:17页码:2055-2066 |
摘要 | In this paper, a unified approach for analysing finite dimensional approximations to a class of partial differential equations boundary value problems (second-kind Fredholm differential equations) is introduced. The approach is shown to be general despite of its extremely simple form. In particular, it is expected to be useful in the convergence analysis of finite element methods for solving PDE problems. Three specific examples are presented to illustrate the broad applicability of the approach. Copyright (C) 2004 John Wiley Sons, Ltd. |
关键词 | convergence error analysis finite dimensional approximation Fredholm differential equation |
DOI | 10.1002/mma.539 |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000225252800006 |
出版者 | WILEY-BLACKWELL |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/615 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Bao, G |
作者单位 | 1.Michigan State Univ, Dept Math, E Lansing, MI 48824 USA 2.Jilin Univ, Sch Math, Changchun 130023, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Bao, G,Zhou, AH. Analysis of finite dimensional approximations to a class of partial differential equations[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2004,27(17):2055-2066. |
APA | Bao, G,&Zhou, AH.(2004).Analysis of finite dimensional approximations to a class of partial differential equations.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,27(17),2055-2066. |
MLA | Bao, G,et al."Analysis of finite dimensional approximations to a class of partial differential equations".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 27.17(2004):2055-2066. |
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