An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element

doi:10.1007/s10915-019-00937-y

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element
	Li, Ruo 2,3; Ming, Pingbing1,4 ; Sun, Ziyuan 3; Yang, Zhijian 5
刊名	JOURNAL OF SCIENTIFIC COMPUTING
	2019-07-01
卷号	80 期号:1 页码:268-288
关键词	Least-squares reconstruction Discontinuous Galerkin method Elliptic problem
ISSN号	0885-7474
DOI	10.1007/s10915-019-00937-y
英文摘要	We propose an arbitrary-order discontinuous Galerkin method for second-order elliptic problem on general polygonal mesh with only one degree of freedom per element. This is achieved by locally solving a discrete least-squares over a neighboring element patch. Under a geometrical condition on the element patch, we prove an optimal a priori error estimates in the energy norm and in the L2 norm. The accuracy and the efficiency of the method up to order six on several polygonal meshes are illustrated by a set of benchmark problems.
资助项目	National Natural Science Foundation of China[11425106] ; National Natural Science Foundation of China[91630313] ; National Natural Science Foundation of China[11671312]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000468983100010
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34910]
专题	计算数学与科学工程计算研究所
通讯作者	Ming, Pingbing
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, 19A Yu Quan Rd, Beijing 100049, Peoples R China 2.Peking Univ, LMAM, CAPT, Beijing 100871, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, 55 Zhong Guan Cun East Rd, Beijing 100190, 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, Ziyuan,et al. An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element[J]. JOURNAL OF SCIENTIFIC COMPUTING,2019,80(1):268-288.
APA	Li, Ruo,Ming, Pingbing,Sun, Ziyuan,&Yang, Zhijian.(2019).An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element.JOURNAL OF SCIENTIFIC COMPUTING,80(1),268-288.
MLA	Li, Ruo,et al."An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element".JOURNAL OF SCIENTIFIC COMPUTING 80.1(2019):268-288.