Hexahedral constraint-free finite element method on meshes with hanging nodes
文献类型：期刊论文
| 作者 | Zhao, Xuying1,2; Shi, Zhong-Ci2 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2019-12-01 |
| 卷号 | 62期号:12页码:2591-2616 |
| 关键词 | adaptive finite element a posteriori error estimate hexahedral nonconforming element hanging node |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-017-9261-5 |
| 英文摘要 | Nonconforming grids with hanging nodes are frequently used in adaptive finite element computations. In all earlier works on such methods, proper constraints should be enforced on degrees of freedom on edges/faces with hanging nodes to keep continuity, which yield numerical computations much complicated. In 2014, Zhao et al. (2014) presented quadrilateral constraint-free finite element methods on quadrilateral grids with hanging nodes. This paper further develops a hexahedral constraint-free finite element method on hexahedral grids with hanging nodes, which is of greater challenge than the two-dimensional case. Residual-based a posteriori error reliability and efficiency are also established in this paper. |
| 资助项目 | National Natural Science Foundation of China[11371359] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000509102200011 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50585]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, Xuying |
| 作者单位 | 1.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Inst Computat Math & Sci Engn Comp,LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, Xuying,Shi, Zhong-Ci. Hexahedral constraint-free finite element method on meshes with hanging nodes[J]. SCIENCE CHINA-MATHEMATICS,2019,62(12):2591-2616. |
| APA | Zhao, Xuying,&Shi, Zhong-Ci.(2019).Hexahedral constraint-free finite element method on meshes with hanging nodes.SCIENCE CHINA-MATHEMATICS,62(12),2591-2616. |
| MLA | Zhao, Xuying,et al."Hexahedral constraint-free finite element method on meshes with hanging nodes".SCIENCE CHINA-MATHEMATICS 62.12(2019):2591-2616. |
入库方式： OAI收割
来源：数学与系统科学研究院
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