A TWO-LEVEL FINITE ELEMENT GALERKIN METHOD FOR THE NONSTATIONARY NAVIER-STOKES EQUATIONS II: TIME DISCRETIZATION
查看参考文献26篇
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文摘
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In this article we consider the fully discrete two-level finite element Galerkin method for the two-dimensional nonstationary incompressible Navier-Stokes equations. This method consists in dealing with the fully discrete nonlinear Navier-Stokes problem on a coarse mesh with width H and the fully discrete linear generalized Stokes problem on a fine mesh with width h " H. Our results show that if we choose H = O^1^2) this method is as the same stability and convergence as the fully discrete standard finite element Galerkin method which needs dealing with the fully discrete nonlinear Navier-Stokes problem on a fine mesh with width h. However, our method is cheaper than the standard fully discrete finite element Galerkin method. |
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来源
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Journal of Computational Mathematics
,2004,22(1):33-54 【核心库】
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关键词
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Navier-Stokes equations
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Galerkin method
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Finite element
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地址
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西安交通大学, 动力工程多相流国家重点实验室, Xi'an, 710049
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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0254-9409 |
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学科
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数学 |
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基金
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国家973计划
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文献收藏号
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CSCD:1848386
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