Optimal L-infinity Estimates for Galerkin Methods for Nonlinear Singular Two-point Boundary Value Problems

doi:10.1007/s10255-015-0498-9

	Optimal L-infinity Estimates for Galerkin Methods for Nonlinear Singular Two-point Boundary Value Problems
	Zhang, Xu 1; Shi, Zhong-ci2
	2015
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	31 期号:3 页码:719-728
摘要	In this paper, we apply the symmetric Galerkin methods to the numerical solutions of a kind of singular linear two-point boundary value problems. We estimate the error in the maximum norm. For the sake of obtaining full superconvergence uniformly at all nodal points, we introduce local mesh refinements. Then we extend these results to a class of nonlinear problems. Finally, we present some numerical results which confirm our theoretical conclusions.
关键词	singular two-point boundary value problems symmetric Galerkin method maximum norm error estimate superconvergence local mesh refinement
DOI	10.1007/s10255-015-0498-9
语种	英语
资助项目	Scientific Research Foundation for the Doctor, Nanjing University of Aeronautics and Astronautics[1008-907359]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000359825200011
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20550
专题	计算数学与科学工程计算研究所
通讯作者	Zhang, Xu
作者单位	1.Nanjing Univ Aeronaut & Astronaut, Nanjing 210016, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Xu,Shi, Zhong-ci. Optimal L-infinity Estimates for Galerkin Methods for Nonlinear Singular Two-point Boundary Value Problems[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2015,31(3):719-728.
APA	Zhang, Xu,&Shi, Zhong-ci.(2015).Optimal L-infinity Estimates for Galerkin Methods for Nonlinear Singular Two-point Boundary Value Problems.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,31(3),719-728.
MLA	Zhang, Xu,et al."Optimal L-infinity Estimates for Galerkin Methods for Nonlinear Singular Two-point Boundary Value Problems".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 31.3(2015):719-728.