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

文献类型：期刊论文

作者Li, Ruo2,3; Ming, Pingbing1,4; Sun, Ziyuan3; Yang, Zhijian5
刊名JOURNAL OF SCIENTIFIC COMPUTING
出版日期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
DOI10.1007/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
WOS记录号WOS:000468983100010
出版者SPRINGER/PLENUM PUBLISHERS
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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