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SOME ARGUMENTS FOR RECOVERING THE FINITE-ELEMENT
LIN, Q; ZHOU, AH
1991-07-01
Source PublicationACTA MATHEMATICA SCIENTIA
ISSN0252-9602
Volume11Issue:3Pages:290-297
AbstractThe dual argument is well known for recoving the optimal L2-error of the finite element method in elliptic context. This argument, however, will lose efficacy in hyperbolic case. An expansion argument and an approximation argument are presented in this paper to recover the optimal L2-error of finite element methods for hyperbolic problems. In particular, a second order error estimate in L2-norm for the standard linear finite element method of hyperbolic problems is obtained if the exact solution is smooth and the finite element mesh is almost uniform, and some superconvergence estimates are also established for less smooth solution.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:A1991GV53200007
PublisherBALTZER SCI PUBL BV
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/27956
Collection中国科学院数学与系统科学研究院
AffiliationCHINESE ACAD SCI,INST SYST SCI,BEIJING,PEOPLES R CHINA
Recommended Citation
GB/T 7714
LIN, Q,ZHOU, AH. SOME ARGUMENTS FOR RECOVERING THE FINITE-ELEMENT[J]. ACTA MATHEMATICA SCIENTIA,1991,11(3):290-297.
APA LIN, Q,&ZHOU, AH.(1991).SOME ARGUMENTS FOR RECOVERING THE FINITE-ELEMENT.ACTA MATHEMATICA SCIENTIA,11(3),290-297.
MLA LIN, Q,et al."SOME ARGUMENTS FOR RECOVERING THE FINITE-ELEMENT".ACTA MATHEMATICA SCIENTIA 11.3(1991):290-297.
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