排序方式: 共有45条查询结果,搜索用时 15 毫秒
1.
时滞惯性流形及近似时滞惯性流形族 总被引:7,自引:0,他引:7
时滞惯性流形是对耗散系统惯性流形、近似惯性流形的最新发展,它基于对 大小涡分量间相互作用更细致的观察,即改变了惯性流形和近似惯性流形方法中大小 涡分量间相互作用为瞬时行为的隐含假定,而认为这种作用与系统的历史相关的.本 文结出了一类耗散系统时滞惯性流形的存在性证明,由于其存在性不需要“谱间隔条 件”保证,因而时滞惯性流形是广泛存在的.随后我们引出了一类离散的时滞惯性流 形,并在此基础上构造了一种近似时滞惯性流形族,分别给出了它们近似时滞惯性流 形的误差估计,结果显示这种新方法为构造稳定和高精度的算法提供了可能. 相似文献
2.
Based on the low-order conforming finite element subspace (Vh, Mh) such as the P1-P0 triangle element or the Q1-P0 quadrilateral element, the locally stabilized finite element method for the Stokes problem with nonlinear slip boundary conditions is investigated in this paper. For this class of nonlinear slip boundary conditions including the subdifferential property, the weak variational formulation associated with the Stokes problem is an variational inequality. Since (Vh, Mh) does not satisfy the discrete inf-sup conditions, a macroelement condition is introduced for constructing the locally stabilized formulation such that the stability of (Vh, Mh) is established. Under these conditions, we obtain the H1 and L2 error estimates for the numerical solutions. 相似文献
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4.
Acta Mathematicae Applicatae Sinica, English Series - This paper deals with the boundary integral method to study the Navier-Stokes equations around a rotating obstacle. The detail of this method... 相似文献
5.
Yong-jiang Yu Kai-tai Li Ai-xiang Huang 《应用数学学报(英文版)》2007,23(1):49-58
The Navier-Stokes-α equations subject to the periodic boundary conditions are considered.An-alyticity in time for a class of solutions taking values in a Gevrey class of functions is proven.Exponentialdecay of the spatial Fourier spectrum for the analytic solutions and the lower bounds on the rate defined by theexponential decay are also obtained. 相似文献
6.
In this paper, the shape problem of interface of bicomponent flows between two concentric rotating cylinders is investigated. With tensor analysis, the problem is reduced to an energy functional isoperimetric problem when neglecting the effects of the dissipative energy caused by viscosity. We derive the associated Euler-Lagrangian equation, which is a nonlinear elliptic boundary value problem of the second order. Moreover, by considering the effects of the dissipative energy, we propose another total energy functional to characterize the geometric shape of the interface, and obtain the corresponding Euler-Lagrangian equation, which is also a nonlinear elliptic boundary value problem of the second order. Thus, the problem of the geometric shape is converted into a nonlinear boundary value problem of the second order in both cases. 相似文献
7.
外部流动的Oseen耦合方法,I:Oseen耦合逼近 总被引:1,自引:0,他引:1
这篇文章考虑了具有非齐次边界条件的二维非定常外部Navier-Stokes方程.通过将内部区域的Navier-Stokes方程和外部区域的Oseen方程相耦合,得到了Navier-Stokes问题的逼近问题: Oseen耦合问题,此外,我们证明了 Oseen耦合方程弱解的存在性,唯一性和收敛精度. 相似文献
8.
Kai-tai Fang 《计算数学(英文版)》1999,(3)
1.IntroductionTheNumber-TheoreticMethod(NTM)isaspecialmethodwhichrepresentsacombinationofnumbertheoryandnumericalanalysis.Thewidestrangeofapplicationsandindeedthehistoricaloriginofthismethodisfoundinnumericalintegration.Alsorelatedproblemssuchajsinte... 相似文献
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带有定性因素均匀设计的均匀性度量准则 总被引:5,自引:0,他引:5
我们在文〔3〕中曾讨论了如何用均匀设计来安排含有定性因素的试验。在文〔1〕中所使用的均匀设计表是针对试验中全为连续因素设计的。显然 ,当试验中含有定性因素时 ,均匀性的度量和相应均匀设计表的设计都会有所不同。这是一个值得研究的课题。本文主要探讨均匀性的度量 ,并用文中提出的准则 ,对文〔1〕中一些均匀设计表的均匀性给出了数值性结果 相似文献
10.
A conjugate gradient and block iterative algorithm for element solution of penalty variational form of Navier-Stokes equations
are presented. Because the algorithm of solving single variable minimizing problem is simplified, the computing time is greatly
saved.
In this paper numerical examples are also provided. 相似文献