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Dual combined finite element methods for non-Newtonian flow (II) parameter-dependent problem
Ming, PB; Shi, ZC
2000-09-01
发表期刊ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN0764-583X
卷号34期号:5页码:1051-1067
摘要This is the second part of the paper for a Non-Newtonian flow. Dual combined Finite Element Methods are used to investigate the little parameter-dependent problem arising in a nonlinear three field version of the Stokes system for incompressible fluids, where the viscosity obeys a general law including the Carreau's law and the Power law. Certain parameter-independent error bounds are obtained which solved the problem proposed by Baranger in [4] in a unifying way. We also give some stable finite element spaces by exemplifying the abstract B-B inequality. The continuous approximation for the extra stress is achieved as a by-product of the new method.
关键词dual combined FEM non-Newtonian flow parameter-independent error bounds
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000165196500008
出版者E D P SCIENCES
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/15160
专题中国科学院数学与系统科学研究院
通讯作者Ming, PB
作者单位Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
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Ming, PB,Shi, ZC. Dual combined finite element methods for non-Newtonian flow (II) parameter-dependent problem[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2000,34(5):1051-1067.
APA Ming, PB,&Shi, ZC.(2000).Dual combined finite element methods for non-Newtonian flow (II) parameter-dependent problem.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,34(5),1051-1067.
MLA Ming, PB,et al."Dual combined finite element methods for non-Newtonian flow (II) parameter-dependent problem".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 34.5(2000):1051-1067.
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