An analysis of some high accuracy finite element methods for hyperbolic problems

	An analysis of some high accuracy finite element methods for hyperbolic problems
	Zhou, AH
	2001-08-31
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	39 期号:3 页码:1014-1028
摘要	Some high accuracy finite element methods for hyperbolic problems are studied in this paper. It is proven that over a finite element mesh, the convergence order of linear finite element solutions for both linear and nonlinear equations can be higher than one even if the exact solutions are discontinuous. The theoretical tools for the convergence analysis are some superclose error estimates that are also developed in this paper for nonsmooth solutions.
关键词	conservation laws finite element higher accuracy hyperbolic problems optimal estimate
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000171177300013
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16446
专题	计算数学与科学工程计算研究所
通讯作者	Zhou, AH
作者单位	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	Zhou, AH. An analysis of some high accuracy finite element methods for hyperbolic problems[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2001,39(3):1014-1028.
APA	Zhou, AH.(2001).An analysis of some high accuracy finite element methods for hyperbolic problems.SIAM JOURNAL ON NUMERICAL ANALYSIS,39(3),1014-1028.
MLA	Zhou, AH."An analysis of some high accuracy finite element methods for hyperbolic problems".SIAM JOURNAL ON NUMERICAL ANALYSIS 39.3(2001):1014-1028.