On the convergence of Variational multiscale methods based on Newton’s iteration for the incompressible flows
文献类型：期刊论文
| 作者 | Shi, Feng; Zheng, Haibiao; Yu, Jiaping; Li, Ying |
| 刊名 | APPLIED MATHEMATICAL MODELLING
 |
| 出版日期 | 2014 |
| 英文摘要 | In this paper, the convergence of a general algorithm with theta-type stabilization form for the variational multiscale (VMS) method is presented. Meanwhile, explicit-type and implicit-type algorithms with linear convergence and quadratic convergence are derived from the theta-type algorithm, respectively. Thecombination of explicit-type and implicit-type algorithms are applied to adaptive VMS, which shows good efficiency. Finally, some numerical tests are shown to support the convergence analysis. (C) 2014 Elsevier Inc. All rights reserved. |
| 收录类别 | SCI |
| 原文出处 | http://www.sciencedirect.com/science/article/pii/S0307904X14002297 |
| 语种 | 英语 |
| 源URL | [http://ir.siat.ac.cn:8080/handle/172644/5973]  |
| 专题 | 深圳先进技术研究院_数字所 |
| 作者单位 | APPLIED MATHEMATICAL MODELLING |
| 推荐引用方式 GB/T 7714 | Shi, Feng,Zheng, Haibiao,Yu, Jiaping,et al. On the convergence of Variational multiscale methods based on Newton’s iteration for the incompressible flows[J]. APPLIED MATHEMATICAL MODELLING,2014. |
| APA | Shi, Feng,Zheng, Haibiao,Yu, Jiaping,&Li, Ying.(2014).On the convergence of Variational multiscale methods based on Newton’s iteration for the incompressible flows.APPLIED MATHEMATICAL MODELLING. |
| MLA | Shi, Feng,et al."On the convergence of Variational multiscale methods based on Newton’s iteration for the incompressible flows".APPLIED MATHEMATICAL MODELLING (2014). |
入库方式： OAI收割
来源：深圳先进技术研究院
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