An adaptive high-order unfitted finite element method for elliptic interface problems
文献类型：期刊论文
| 作者 | Chen, Zhiming1,2; Li, Ke2,3; Xiang, Xueshuang4 |
| 刊名 | NUMERISCHE MATHEMATIK
 |
| 出版日期 | 2021-11-01 |
| 卷号 | 149期号:3页码:507-548 |
| 关键词 | 65N30 |
| ISSN号 | 0029-599X |
| DOI | 10.1007/s00211-021-01243-2 |
| 英文摘要 | We design an adaptive unfitted finite element method on the Cartesian mesh with hanging nodes. We derive an hp-reliable and efficient residual type a posteriori error estimate on K-meshes. A key ingredient is a novel hp-domain inverse estimate which allows us to prove the stability of the finite element method under practical interface resolving mesh conditions and also prove the lower bound of the hp a posteriori error estimate. Numerical examples are included. |
| 资助项目 | China National Key Technologies RD Program[2019YFA0709602] ; China Natural Science Foundation[118311061] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000716257800001 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59533]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, Zhiming |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Dept Basic Informat Engn Univ, Zhengzhou 450001, Peoples R China 4.China Acad Space Technol, Qian Xuesen Lab Space Technol, Beijing 100194, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Zhiming,Li, Ke,Xiang, Xueshuang. An adaptive high-order unfitted finite element method for elliptic interface problems[J]. NUMERISCHE MATHEMATIK,2021,149(3):507-548. |
| APA | Chen, Zhiming,Li, Ke,&Xiang, Xueshuang.(2021).An adaptive high-order unfitted finite element method for elliptic interface problems.NUMERISCHE MATHEMATIK,149(3),507-548. |
| MLA | Chen, Zhiming,et al."An adaptive high-order unfitted finite element method for elliptic interface problems".NUMERISCHE MATHEMATIK 149.3(2021):507-548. |
入库方式： OAI收割
来源：数学与系统科学研究院
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