A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations
文献类型：期刊论文
| 作者 | Liu, Wenjia1,2; Zhang, Shuo1,2 |
| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 2022-10-01 |
| 卷号 | 93期号:1页码:31 |
| 关键词 | Incompressible stokes equations Inf-sup condition Conservative scheme Pressure-robust discretization Lowest degree |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-022-01974-w |
| 英文摘要 | In this study, we investigate how low the degree of polynomials can be to construct a stable conservative pair for incompressible Stokes problems that works on general triangulations. We propose a finite element pair that uses a slightly enriched piecewise linear polynomial space for velocity and piecewise constant space for pressure. The pair is illustrated to be a lowest-degree stable conservative pair for Stokes problems on general triangulations. |
| 资助项目 | NSFC[11871465] ; CAS[XDB41000000] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000850828800003 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60986]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Shuo |
| 作者单位 | 1.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Wenjia,Zhang, Shuo. A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations[J]. JOURNAL OF SCIENTIFIC COMPUTING,2022,93(1):31. |
| APA | Liu, Wenjia,&Zhang, Shuo.(2022).A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations.JOURNAL OF SCIENTIFIC COMPUTING,93(1),31. |
| MLA | Liu, Wenjia,et al."A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations".JOURNAL OF SCIENTIFIC COMPUTING 93.1(2022):31. |
入库方式： OAI收割
来源：数学与系统科学研究院
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