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DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM
Li, Ruo1,2; Ming, Pingbing3,4; Sun, Zhiyuan2; Yang, Fanyi2; Yang, Zhijian5
2019
Source PublicationJOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN0254-9409
Volume37Issue:4Pages:561-578
AbstractWe propose a new discontinuous Galerkin method based on the least-squares patch reconstruction for the biharmonic problem. We prove the optimal error estimate of the proposed method. The two-dimensional and three-dimensional numerical examples are presented to confirm the accuracy and efficiency of the method with several boundary conditions and several types of polygon meshes and polyhedral meshes.
KeywordLeast-squares problem Reconstructed basis function Discontinuous Galerkin method Biharmonic problem
DOI10.4208/jcm.1807-m2017-0276
Language英语
Funding ProjectNational Natural Science Foundation of China for Distinguished Young Scholars[11425106] ; National Natural Science Foundation of China[91630313] ; National Natural Science Foundation of China[11671312] ; CAS NCMIS
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000457454900007
PublisherGLOBAL SCIENCE PRESS
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32514
Collection计算数学与科学工程计算研究所
Affiliation1.Peking Univ, LMAM, CAPT, Beijing 100871, Peoples R China
2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
3.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, 19A Yu Quan Rd, Beijing 100049, Peoples R China
5.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
Recommended Citation
GB/T 7714
Li, Ruo,Ming, Pingbing,Sun, Zhiyuan,et al. DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2019,37(4):561-578.
APA Li, Ruo,Ming, Pingbing,Sun, Zhiyuan,Yang, Fanyi,&Yang, Zhijian.(2019).DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM.JOURNAL OF COMPUTATIONAL MATHEMATICS,37(4),561-578.
MLA Li, Ruo,et al."DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM".JOURNAL OF COMPUTATIONAL MATHEMATICS 37.4(2019):561-578.
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