KMS Of Academy of mathematics and systems sciences, CAS
| DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM | |
Li, Ruo1,2; Ming, Pingbing3,4 ; Sun, Zhiyuan2; Yang, Fanyi2; Yang, Zhijian5
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| 2019 | |
| Source Publication | JOURNAL OF COMPUTATIONAL MATHEMATICS
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| ISSN | 0254-9409 |
| Volume | 37Issue:4Pages:561-578 |
| Abstract | 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. |
| Keyword | Least-squares problem Reconstructed basis function Discontinuous Galerkin method Biharmonic problem |
| DOI | 10.4208/jcm.1807-m2017-0276 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000457454900007 |
| Publisher | GLOBAL SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/32514 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Li, Ruo |
| Affiliation | 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 |
| Recommended Citation 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. |
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