SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE

doi:10.1137/110824632

	SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE
	Huang, Qiumei 1; Xie, Hehu2 ; Brunner, Hermann 3,4
	2011
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	33 期号:5 页码:2664-2684
摘要	This paper is concerned with the superconvergence of the discontinuous Galerkin solutions for delay differential equations with proportional delays vanishing at t = 0. Two types of superconvergence are analyzed here. The first is based on interpolation postprocessing to improve the global convergence order by finding the superconvergence points of discontinuous Galerkin solutions. The second type follows from the integral iteration which just requires a local integration procedure applied to the discontinuous Galerkin solution, thus increasing the order of convergence. The theoretical results are illustrated by a broad range of numerical examples.
关键词	pantograph delay differential equation vanishing proportional delay discontinuous Galerkin method interpolation and iteration postprocessing superconvergence
DOI	10.1137/110824632
语种	英语
资助项目	National Natural Science Foundation[11101018] ; Beijing Natural Science Foundation of China[1112002] ; National Natural Science Foundation of China[11001259] ; Natural Sciences and Engineering Research Council of Canada (NSERC)[9406]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000296591200025
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/11408
专题	计算数学与科学工程计算研究所
通讯作者	Huang, Qiumei
作者单位	1.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 3.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada 4.Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Huang, Qiumei,Xie, Hehu,Brunner, Hermann. SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2011,33(5):2664-2684.
APA	Huang, Qiumei,Xie, Hehu,&Brunner, Hermann.(2011).SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE.SIAM JOURNAL ON SCIENTIFIC COMPUTING,33(5),2664-2684.
MLA	Huang, Qiumei,et al."SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE".SIAM JOURNAL ON SCIENTIFIC COMPUTING 33.5(2011):2664-2684.