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A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term
Shi, Dongyang1; Tang, Qili2; Gong, Wei3
2015-08-01
Source PublicationMATHEMATICS AND COMPUTERS IN SIMULATION
ISSN0378-4754
Volume114Pages:25-36
AbstractA low order nonconforming finite element method is combined with the method of characteristics to treat the nonlinear Sobolev equation with convection-dominated term. The optimal order error estimates in a broken H-1-norm and L-2-norm are obtained by some special properties of the interpolation operator and the mean value trick, instead of the so-called elliptic projection which is an indispensable tool in the convergence analysis of the previous literature. In addition, the global superconvergence is derived based on the interpolated postprocessing technique. The theoretical results are confirmed by some numerical experiments. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.
KeywordCharacteristics Sobolev equation Nonconforming finite element The optimal order error estimates Global superconvergence
DOI10.1016/j.matcom.2014.03.008
Language英语
Funding ProjectNational Natural Science Foundation of China[10971203] ; National Natural Science Foundation of China[11101384] ; National Natural Science Foundation of China[11271340] ; Specialized Research Fund for the Doctoral Program of Higher Education[20094101110006]
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS IDWOS:000357222200004
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:13[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20209
Collection计算数学与科学工程计算研究所
Affiliation1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
2.Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Shi, Dongyang,Tang, Qili,Gong, Wei. A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term[J]. MATHEMATICS AND COMPUTERS IN SIMULATION,2015,114:25-36.
APA Shi, Dongyang,Tang, Qili,&Gong, Wei.(2015).A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term.MATHEMATICS AND COMPUTERS IN SIMULATION,114,25-36.
MLA Shi, Dongyang,et al."A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term".MATHEMATICS AND COMPUTERS IN SIMULATION 114(2015):25-36.
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