LOCAL AND PARALLEL FINITE ELEMENT ALGORITHMS BASED ON THE PARTITION OF UNITYFOR THE STOKES PROBLEM
文献类型：期刊论文
| 作者 | Yu, Jiaping; Shi, Feng; Zheng, Haibiao |
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
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| 出版日期 | 2014 |
| 英文摘要 | By combining the techniques of the two-grid method and the partition of unity, we derive two local and parallel finite element algorithms for the Stokes problem.The most interesting features of these algorithms are (1) the partition of unity technique introduces a framework for domain decomposition; (2) only a series oflocal residual problems need to be solved on these subdomains in parallel, meanwhile requiring very little communication; (3) a globally continuous finiteelement solution is constructed by combining all the local solutions via the partition of unity functions. The optimal error estimates in L-2 and energy norms are proved under some assumptions. Also, several numerical simulations are presented to demonstrate the effectiveness and flexibility of the new algorithms. |
| 收录类别 | SCI |
| 原文出处 | http://epubs.siam.org/doi/abs/10.1137/130925748 |
| 语种 | 英语 |
| 源URL | [http://ir.siat.ac.cn:8080/handle/172644/5974]  |
| 专题 | 深圳先进技术研究院_数字所 |
| 作者单位 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
| 推荐引用方式 GB/T 7714 | Yu, Jiaping,Shi, Feng,Zheng, Haibiao. LOCAL AND PARALLEL FINITE ELEMENT ALGORITHMS BASED ON THE PARTITION OF UNITYFOR THE STOKES PROBLEM[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2014. |
| APA | Yu, Jiaping,Shi, Feng,&Zheng, Haibiao.(2014).LOCAL AND PARALLEL FINITE ELEMENT ALGORITHMS BASED ON THE PARTITION OF UNITYFOR THE STOKES PROBLEM.SIAM JOURNAL ON SCIENTIFIC COMPUTING. |
| MLA | Yu, Jiaping,et al."LOCAL AND PARALLEL FINITE ELEMENT ALGORITHMS BASED ON THE PARTITION OF UNITYFOR THE STOKES PROBLEM".SIAM JOURNAL ON SCIENTIFIC COMPUTING (2014). |
入库方式： OAI收割
来源：深圳先进技术研究院
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