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Approximate Inertial Manifold Method andMultilevel Finite Element Approximationfor the Navier-Stokes Equations 被引量:1
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作者 李开泰 黄艾香 《工程数学学报》 CSCD 1990年第2期1-41,共41页
This paper presents the Approximate Incrtial Manifold ∑ and its successive approximate incrtial manifold ∑i and ∑ij . We give the estimates of thickness of neighborhood of ∑, ∑j, Ejt respectively in which the eve... This paper presents the Approximate Incrtial Manifold ∑ and its successive approximate incrtial manifold ∑i and ∑ij . We give the estimates of thickness of neighborhood of ∑, ∑j, Ejt respectively in which the every solution of Navier-Stokcs equation enters.Another part of this paper presents construction method for A.I.M. by multilevel finite clement method and give error estimates of the approximate solution of incrtial form. 展开更多
关键词 惯性流形逼近 多级有限元逼近 Navier-Stakes方程
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Computation for the Navier-Stokes Equations
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作者 李开泰 黄艾香 《工程数学学报》 CSCD 1990年第2期42-57,共16页
1. Introduction The dimensionaless form of the Navier-Stokcs Equations are (1.1) with boundary
关键词 Navier-Stakes方程 STOKES算子
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