KMS Of Academy of mathematics and systems sciences, CAS
| An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element | |
Li, Ruo1,2; Ming, Pingbing3,4 ; Sun, Ziyuan2; Yang, Zhijian5
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| 2019-07-01 | |
| 发表期刊 | JOURNAL OF SCIENTIFIC COMPUTING
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| ISSN | 0885-7474 |
| 卷号 | 80期号:1页码:268-288 |
| 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. |
| 关键词 | Least-squares reconstruction Discontinuous Galerkin method Elliptic problem |
| DOI | 10.1007/s10915-019-00937-y |
| 语种 | 英语 |
| 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 |
| WOS类目 | Mathematics, Applied |
| WOS记录号 | WOS:000468983100010 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/34911 |
| 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.Peking Univ, LMAM, CAPT, Beijing 100871, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, 55 Zhong Guan Cun East Rd, 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, 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. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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