KMS Of Academy of mathematics and systems sciences, CAS
| A Nitsche Hybrid Multiscale Method with Non-matching Grids | |
| Ming, Pingbing1,2; Song, Siqi1,2 | |
| 2022-05-01 | |
| Source Publication | JOURNAL OF SCIENTIFIC COMPUTING
 |
| ISSN | 0885-7474 |
| Volume | 91Issue:2Pages:28 |
| Abstract | We propose a Nitsche method for multiscale partial differential equations, which retrieves the macroscopic information and the local microscopic information at one stroke. We prove the convergence of the method for second order elliptic problem with bounded and measurable coefficients. The rate of convergence may be derived for coefficients with further structures such as periodicity and ergodicity. Extensive numerical results confirm the theoretical predictions. |
| Keyword | Multiscale PDE Hybrid method Nitsche variational formulation Non-matching grid |
| DOI | 10.1007/s10915-022-01817-8 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11971467] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000776088200002 |
| Publisher | SPRINGER/PLENUM PUBLISHERS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60258 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Ming, Pingbing |
| Affiliation | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, AMSS, LSEC, 55 East Rd Zhong Guan Cun, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Ming, Pingbing,Song, Siqi. A Nitsche Hybrid Multiscale Method with Non-matching Grids[J]. JOURNAL OF SCIENTIFIC COMPUTING,2022,91(2):28. |
| APA | Ming, Pingbing,&Song, Siqi.(2022).A Nitsche Hybrid Multiscale Method with Non-matching Grids.JOURNAL OF SCIENTIFIC COMPUTING,91(2),28. |
| MLA | Ming, Pingbing,et al."A Nitsche Hybrid Multiscale Method with Non-matching Grids".JOURNAL OF SCIENTIFIC COMPUTING 91.2(2022):28. |
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