AN ADAPTIVE IMMERSED FINITE ELEMENT METHOD WITH ARBITRARY LAGRANGIAN-EULERIAN SCHEME FOR PARABOLIC EQUATIONS IN TIME VARIABLE DOMAINS
文献类型：期刊论文
| 作者 | Chen, Zhiming1 ; Wu, Zedong2; Xiao, Yuanming3
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| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| 出版日期 | 2015 |
| 卷号 | 12期号:3页码:567-591 |
| 关键词 | Immersed finite element adaptive a posteriori error estimate time variable domain |
| ISSN号 | 1705-5105 |
| 英文摘要 | We first propose an adaptive immersed finite element method based on the a posteriori error estimate for solving elliptic equations with non-homogeneous boundary conditions in general Lipschitz domains. The underlying finite element mesh need not fit the boundary of the domain. Optimal a priori error estimate of the proposed immersed finite element method is proved. The immersed finite element method is then used to solve parabolic problems in time variable domains together with an arbitrary Lagrangian-Eulerian (ALE) time discretization scheme. An a posteriori error estimate for the fully discrete immersed finite element method is derived which can be used to adaptively update the time step sizes and finite element meshes at each time step. Numerical experiments are reported to support the theoretical results. |
| 资助项目 | National Basic Research Project[2011CB309700] ; China NSF[11021101] ; China NSF[11321061] ; China NSF[11101208] ; Fundamental Research Funds for the Central Universities[1118020303] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000361156800007 |
| 出版者 | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20752]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Chen, Zhiming |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100190, Peoples R China 3.Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Zhiming,Wu, Zedong,Xiao, Yuanming. AN ADAPTIVE IMMERSED FINITE ELEMENT METHOD WITH ARBITRARY LAGRANGIAN-EULERIAN SCHEME FOR PARABOLIC EQUATIONS IN TIME VARIABLE DOMAINS[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2015,12(3):567-591. |
| APA | Chen, Zhiming,Wu, Zedong,&Xiao, Yuanming.(2015).AN ADAPTIVE IMMERSED FINITE ELEMENT METHOD WITH ARBITRARY LAGRANGIAN-EULERIAN SCHEME FOR PARABOLIC EQUATIONS IN TIME VARIABLE DOMAINS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,12(3),567-591. |
| MLA | Chen, Zhiming,et al."AN ADAPTIVE IMMERSED FINITE ELEMENT METHOD WITH ARBITRARY LAGRANGIAN-EULERIAN SCHEME FOR PARABOLIC EQUATIONS IN TIME VARIABLE DOMAINS".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 12.3(2015):567-591. |
入库方式： OAI收割
来源：数学与系统科学研究院
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