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排序方式: 共有167条查询结果,搜索用时 250 毫秒
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《Optimization》2012,61(2):111-127
Necessary and sufficient proper efficiency conditionsand eight duality models are presented for two classes of constrained multiobjective optimal controi problemb containing albitl-ary norills and square roots of positive semidefinite quadratic forms 相似文献
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Smoothness of Stationary Subdivision on Irregular Meshes 总被引:2,自引:0,他引:2
D. Zorin 《Constructive Approximation》2000,16(3):359-398
We derive necessary and sufficient conditions for tangent plane and C
k
-continuity of stationary subdivision schemes near extraordinary vertices. Our criteria generalize most previously known
conditions. We introduce a new approach to analysis of subdivision surfaces based on the idea of the universal surface . Any subdivision surface can be locally represented as a projection of the universal surface, which is uniquely defined
by the subdivision scheme. This approach provides us with a more intuitive geometric understanding of subdivision near extraordinary
vertices.
February 16, 1998. Date revised: January 27, 1999. Date accepted: April 2, 1999. 相似文献
25.
一类非线性算子的带误差的Ishikawa迭代程序及其稳定性 总被引:2,自引:0,他引:2
倪仁兴 《高校应用数学学报(A辑)》2001,16(3):309-316
建立了任意实Banach空间中带误差的Ishikawa迭代程序逼近Lipschitz强伪压缩算子的不动点的一般性定理,指出已被广泛广泛研究的Ishikawa迭代序列的稳定性问题仅是带误差的Ishikawa迭代程序的特例,作为直接的应用,用不同于通常的方法证得任意实Banach空间中的Ishikawa迭代序列关于Lipschitz强伪压缩算子是稳定的,这些推广或发展了近期许多相应的结果。 相似文献
26.
大型渡槽动力设计方法研究 总被引:5,自引:0,他引:5
根据大型渡槽结构的特点,在缺乏适用的抗震分析模型前提下,提出支撑-渡槽-水伪三维流固耦合动力分析方法。模型基于结构动力分析理论和流固耦合分析理论,整体结构分析采用Newmark方法进行动力时程分析,分析中考虑渡槽结构整体受力性能,包括下部支撑结构、地基等多种因素的影响作用;渡槽-水耦合体子结构分析采用任意拉格朗日-欧拉(Arbitrary Lagrangian Eulerian,ALE)有限元方法进行动力分析,考虑渡槽-水的耦合相互作用,模拟渡槽中水体的大幅晃动作用,相应得出渡槽中动力压力值及其分布。以某排架支撑矩形渡槽为例,采用本文提出的伪三维模型进行地震时程分析,计算结果与三维模型计算结果吻合良好。本文提出的伪三维动力分析方法计算效率高,满足渡槽结构抗震设计要求,便于工程应用,是大型渡槽结构动力分析研究和抗震设计的实用静、动力分析方法。 相似文献
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This paper presents an extension of the generalized multipole technique (GMT) for 2D anisotropic scatterers. New expansions similar to the Bessel multipole expansion are derived for arbitrary anisotropic media. Numerical simulations prove the accuracy and the rapid convergence of these expansions. As the results obtained are extremely accurate, this technique is most helpful for the evaluation of reference solutions and for the understanding of the physical interaction of light with arbitrary anisotropic media. 相似文献
29.
We present a new method for tracking an interface immersed in a given velocity field which is particularly relevant to the simulation of unsteady free surface problems using the arbitrary Lagrangian–Eulerian (ALE) framework. The new method has been constructed with two goals in mind: (i) to be able to accurately follow the interface; and (ii) to automatically achieve a good distribution of the grid points along the interface. In order to achieve these goals, information from a pure Lagrangian approach is combined with information from an ALE approach. Our implementation relies on the solution of several pure convection problems along the interface in order to obtain the relevant information. The new method offers flexibility in terms of how an “optimal” point distribution should be defined. We have proposed several model problems, each with a prescribed time-dependent velocity field and starting with a prescribed interface; these problems should be useful in order to validate the accuracy of interface-tracking algorithms, e.g., as part of an ALE solver for free surface flows. We have been able to verify first, second, and third order temporal accuracy for the new method by solving these two-dimensional model problems. 相似文献
30.
Guisheng Zhai Xuping Xu Hai Lin Anthony N. Michel 《Nonlinear Analysis: Theory, Methods & Applications》2006
In this paper, we study the stability property for a class of switched linear systems whose subsystems are normal. The subsystems can be continuous-time or discrete-time ones. We show that when all the continuous-time subsystems are Hurwitz stable and all the discrete-time subsystems are Schur stable, a common quadratic Lyapunov function exists for the subsystems and thus the switched system is exponentially stable under arbitrary switching. We show that when unstable subsystems are involved, for a desired decay rate of the system, if the activation time ratio between stable subsystems and unstable ones is less than a certain value (calculated using the decay rate), then the switched system is exponentially stable with the desired decay rate. 相似文献