Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients
文献类型：期刊论文
| 作者 | Lundberg, Andrew4; Sun, Pengtao4; Wang, Cheng3; Zhang, Chen-song1,2 |
| 刊名 | CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
 |
| 出版日期 | 2019 |
| 卷号 | 119期号:1页码:35-62 |
| 关键词 | Transient Stokes interface problem jump coefficients distributed Lagrange multiplier fictitious domain method mixed finite element an optimal error estimate stability |
| ISSN号 | 1526-1492 |
| DOI | 10.32604/cmes.2019.04804 |
| 英文摘要 | The distributed Lagrange multiplier/fictitious domain (DLM/FD)-mixed finite element method is developed and analyzed in this paper for a transient Stokes interface problem with jump coefficients. The semi- and fully discrete DLM/FD-mixed finite element scheme are developed for the first time for this problem with a moving interface, where the arbitrary Lagrangian-Eulerian (ALE) technique is employed to deal with the moving and immersed subdomain. Stability and optimal convergence properties are obtained for both schemes. Numerical experiments are carried out for different scenarios of jump coefficients, and all theoretical results are validated. |
| 资助项目 | NSF[DMS-1418806] ; National Key Research and Development Program of China[2016YFB0201304] ; Major Research Plan of National Natural Science Foundation of China[91430215] ; Major Research Plan of National Natural Science Foundation of China[91530323] ; Key Research Program of Frontier Sciences of CAS |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000465501300003 |
| 出版者 | TECH SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34673]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Sun, Pengtao |
| 作者单位 | 1.Acad Math & Syst Sci, NCMIS, Beijing, Peoples R China 2.Acad Math & Syst Sci, LSEC, Beijing, Peoples R China 3.Tongji Univ, Sch Math Sci, Shanghai, Peoples R China 4.Univ Nevada, Dept Math Sci, 4505 Maryland Pkwy, Las Vegas, NV 89154 USA |
| 推荐引用方式 GB/T 7714 | Lundberg, Andrew,Sun, Pengtao,Wang, Cheng,et al. Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2019,119(1):35-62. |
| APA | Lundberg, Andrew,Sun, Pengtao,Wang, Cheng,&Zhang, Chen-song.(2019).Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,119(1),35-62. |
| MLA | Lundberg, Andrew,et al."Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 119.1(2019):35-62. |
入库方式： OAI收割
来源：数学与系统科学研究院
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