DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM

doi:10.4208/jcm.1807-m2017-0276

	DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM
	Li, Ruo 1,2; Ming, Pingbing3,4 ; Sun, Zhiyuan 2; Yang, Fanyi 2; Yang, Zhijian 5
	2019
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	37 期号:4 页码:561-578
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.
关键词	Least-squares problem Reconstructed basis function Discontinuous Galerkin method Biharmonic problem
DOI	10.4208/jcm.1807-m2017-0276
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000457454900007
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32514
专题	计算数学与科学工程计算研究所
通讯作者	Li, Ruo
作者单位	1.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
推荐引用方式 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.