Optimal mixed H-P finite element methods for Stokes and non-Newtonian flow
文献类型:期刊论文
作者 | Ming, PB; Shi, ZC; Shi Zhongci![]() ![]() |
刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
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出版日期 | 2001 |
卷号 | 19期号:1页码:67-76 |
关键词 | mixed hp- finite element method non-Newtonian flow stabilization scaled weak B-Binequality |
ISSN号 | 0254-9409 |
英文摘要 | Based upon a new mixed variational formulation for the three-field Stokes equations and linearized Non-Newtonian flow, an h - p finite element method is presented with or without a stabilization. As to the variational formulation without stabilization, optimal error bounds in h as well as in p are obtained. As with stabilization, optimal error bounds are obtained which is optimal in h and one order deterioration in p for the pressure, that is consistent with numerical results in [9, 12] and therefore solved the problem therein. Moreover, we proposed a stabilized formulation which is optimal in both h and p. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000166486100008 |
出版者 | VSP BV |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16659] ![]() |
专题 | 计算数学与科学工程计算研究所 |
作者单位 | Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Ming, PB,Shi, ZC,Shi Zhongci,et al. Optimal mixed H-P finite element methods for Stokes and non-Newtonian flow[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2001,19(1):67-76. |
APA | Ming, PB,Shi, ZC,Shi Zhongci,&Ming Pingbing.(2001).Optimal mixed H-P finite element methods for Stokes and non-Newtonian flow.JOURNAL OF COMPUTATIONAL MATHEMATICS,19(1),67-76. |
MLA | Ming, PB,et al."Optimal mixed H-P finite element methods for Stokes and non-Newtonian flow".JOURNAL OF COMPUTATIONAL MATHEMATICS 19.1(2001):67-76. |
入库方式: OAI收割
来源:数学与系统科学研究院
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