A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM

doi:10.4208/jcm.1807-m2017-0276

	A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM
	Li, Ruo 3,4; Ming, Pingbing 1,2; Sun, Zhiyuan 3; Yang, Fanyi 3; Yang, Zhijian 5
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	2019
卷号	37 期号:4 页码:524-540
关键词	Least-squares problem Reconstructed basis function Discontinuous Galerkin method Biharmonic problem
ISSN号	0254-9409
DOI	10.4208/jcm.1807-m2017-0276
英文摘要	We 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.
资助项目	National 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研究方向	Mathematics
语种	英语
出版者	GLOBAL SCIENCE PRESS
WOS记录号	WOS:000524136400006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51202]
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Ruo
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, 19A Yu Quan Rd, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, LSEC, AMSS, Beijing 100190, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 4.Peking Univ, CAPT, LMAM, Beijing 100871, Peoples R China 5.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
推荐引用方式 GB/T 7714	Li, Ruo,Ming, Pingbing,Sun, Zhiyuan,et al. A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2019,37(4):524-540.
APA	Li, Ruo,Ming, Pingbing,Sun, Zhiyuan,Yang, Fanyi,&Yang, Zhijian.(2019).A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM.JOURNAL OF COMPUTATIONAL MATHEMATICS,37(4),524-540.
MLA	Li, Ruo,et al."A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM".JOURNAL OF COMPUTATIONAL MATHEMATICS 37.4(2019):524-540.