A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS
文献类型：期刊论文
| 作者 | Ma, Chuwen1,2; Zhang, Qinghai3; Zheng, Weiying1,4 |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2022 |
| 卷号 | 60期号:4页码:2203-2224 |
| 关键词 | unfitted characteristic finite element methods time-varying domains moving boundary problems the advection-diffusion equation fourth-order error estimates |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/22M1483475 |
| 英文摘要 | We propose a fourth-order unfitted characteristic finite element method to solve the advection-diffusion equation on time-varying domains. Based on a characteristic-Galerkin formulamethod for interface tracking, the fourth-order backward differentiation formula for temporal integration, and an unfitted finite element method for spatial discretization. Our convergence analysis includes errors of discretely representing the moving boundary, tracing boundary markers, and the spatial discretization and the temporal integration of the governing equation. Numerical experiments are performed on a rotating domain and a severely deformed domain to verify our theoretical results and to demonstrate the optimal convergence of the proposed method. |
| 资助项目 | National Key R\&D Program of China[2019YFA0709600] ; National Key R\&D Program of China[2019YFA0709602] ; NSF[11871429] ; NSF[11725106] ; National Science Fund for Distinguished Young Scholars[11831016] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000862256800009 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60959]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ma, Chuwen |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 3.Zhejiang Univ, Sch Math Sci, 38 Zheda Rd, Hangzhou 310027, Zhejiang, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC,NCMIS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ma, Chuwen,Zhang, Qinghai,Zheng, Weiying. A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2022,60(4):2203-2224. |
| APA | Ma, Chuwen,Zhang, Qinghai,&Zheng, Weiying.(2022).A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS.SIAM JOURNAL ON NUMERICAL ANALYSIS,60(4),2203-2224. |
| MLA | Ma, Chuwen,et al."A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS".SIAM JOURNAL ON NUMERICAL ANALYSIS 60.4(2022):2203-2224. |
入库方式： OAI收割
来源：数学与系统科学研究院
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