An Edge-Based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems
文献类型：期刊论文
| 作者 | Wang, Duan2; Li, Ruo1,2; Yan, Ningning3
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| 刊名 | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2010-09-01 |
| 卷号 | 8期号:3页码:511-540 |
| 关键词 | Adaptive finite element method anisotropic mesh refinement elliptic interface problem non-homogeneous jump a posteriori error estimate |
| ISSN号 | 1815-2406 |
| DOI | 10.4208/cicp.210709.121109a |
| 英文摘要 | Based on an error estimate in terms of element edge vectors on arbitrary unstructured simplex meshes, we propose a new edge-based anisotropic mesh refinement algorithm. As the mesh adaptation indicator, the error estimate involves only the gradient of error rather than higher order derivatives. The preferred refinement edge is chosen to reduce the maximal term in the error estimate. The algorithm is implemented in both two- and three-dimensional cases, and applied to the singular function interpolation and the elliptic interface problem. The numerical results demonstrate that the convergence order obtained by using the proposed anisotropic mesh refinement algorithm can be higher than that given by the isotropic one. |
| 资助项目 | National Basic Research Program[2005CB321701] ; National Science Foundation of China[10771008] ; National Science Foundation of China[10771211] ; Foundation for the Author of National Excellent Doctoral Dissertation of PRC |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000281405000003 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10199]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Li, Ruo |
| 作者单位 | 1.Peking Univ, CAPT, LMAM, Beijing 100871, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Duan,Li, Ruo,Yan, Ningning. An Edge-Based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2010,8(3):511-540. |
| APA | Wang, Duan,Li, Ruo,&Yan, Ningning.(2010).An Edge-Based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,8(3),511-540. |
| MLA | Wang, Duan,et al."An Edge-Based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 8.3(2010):511-540. |
入库方式： OAI收割
来源：数学与系统科学研究院
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