subordinate partition of unity

Tracking control synthesis for a class of uncertain nonlinear systems based on partition of unity;

基于单位分解的一类非线性不确定系统跟踪控制设计

B y the scalarization function which was proposed by Oettli,the famous Kneser s min-max theorem and the theorem of continuous partition of unity,the existence theorems of solution for them are derived under suitable conditions of convexity and continuity.

在适当的凸性要求与连续性条件下,利用Oettli引进的数值化函数、著名的Kneser极小极大定理和连续单位分解定理,讨论了这些集值映射的广义向量拟均衡问题解的存在性,所得到的结论推广和发展了近期一些研究结果。

Focusing on a class of more general uncertain complex systems,using the concept of partition of unity in differential geometry to deal with system uncertainties,a new method for designing the decentralized adaptive robust controller was proposed.

针对一类较为一般的不确定复杂系统,提出利用微分几何中单位分解的概念处理复杂系统中的不确定性,完成鲁棒控制器设计的新方法。

Study on partition of unit FEM;

基于单位分解的新型有限元方法研究

But the two kinds of shape functions both serve as a partition of unity.

无单元法与有限元法的根本区别在于形函数的构造方法不同,因而得到的形函数形式也不同,但可统一于单位分解。

Using the method of the partition of unit and the theory of constructing kernel function in integral representations.

应用单位分解的方法及积分表示中核函数的构造理论,得到Cn空间中有界域上光滑函数的一个抽象积分公式。

By introducing the recurrence operator,using the conception of unit resolution and the structure theory of kernel function,the authors obtained an abstract integral representation formula on bounded domain in C~n,which includes m-1 abstract vector functions W~((1)),W~((2)),…,W~((m-1)) and m-1 absolute parameters λ_2,λ_3,…,λ_m.

通过引进递推算子,利用单位分解的概念及核函数的构造理论,得到了Cn空间中有界域上的一种抽象的含有m-1个抽象的向量函数W(1),W(2),…,W(m-1)和m-1个定义在R中的独立参数2λ,3λ,…,λm的积分表示式。

In this paper, by using the unit resolution and constructivity theory of Kernel function of integral representation, we obtain an abstract form of integral representation on bounded domain in Cn.

本文应用单位分解的观点及积分表示中核函数的构造理论,得到~n空间中有界域上积分表示的一种抽象的一般形式,根据这种一般形式,可以得到至今许多区域上光滑函数和全纯函数种种已有的抽象公式和具体的积分公式。

The shape function is built with the method by the partition of unity and the finite cover technology,so the shape function cannot be effected by discontinuity in the domain to treat continuous and discontinuous dynamics problem easily.

运用无网格流形方法求解弹性动力学问题,是利用单位分解法和有限覆盖技术建立形函数,形函数的建立不受域内不连续的影响,可较好地求解弹性体内连续和非连续动力学问题。

The shape functions in this method are formed by the partition of unity and the finite cover technology,so the shape functions are not affected by discontinuous domains and crack problems can be more properly treated.

该方法利用单位分解法和有限覆盖技术建立形函数。

In this paper the meshless numerical manifold method is presented based on the numerical manifold method and the partition of unity method.

在数值流形方法和单位分解法的基础上,提出了无网格数值流形方法,无网格数值流形方法在分析时采用了双重覆盖系统,即数学覆盖和物理覆盖,数学覆盖提供的节点形成求解域的有限覆盖和单位分解函数;而物理覆盖描述问题的几何区域及其域内不连续性,与原有的数值流形方法相比,无网格数值流形方法的数学覆盖形状更加灵活,可以用一系列节点的影响域来建立数学覆盖和单位分解函数,具有无网格方法的特性,从而摆脱了传统的数值流形方法中网格所带来的困难,与无网格方法相比,由于采用了有限覆盖技术,试函数的构造不受域内不连续的影响,克服了原有的无网格方法在处理不连续问题时所遇到的困难,详细推导了无网格数值流形方法的试函数和求解方程,最后给出了算例,验证了该方法的正确性。

Based on mathematical foundation, this paper analysed the relations of traditional and currently developing numerical analysis methods: meshless method, the partition of unity method, numerical manifold method and finite element method.

除传统的有限元法之外,数值分析领域中出现了无网格法、单位分解法、数值流形方法等一批新颖的计算方法。

This paper presents some analyses of the relation between the currently widespread approaches of numerical methodologies: the partition of unity method, meshless method and numerical manifold method.

对目前广泛采用的单位分解法、无网格法、数值流形方法的形函数的形成作了分析,据此分析了它们之间的内在联系,为综合应用各种方法提供了必要的思想基础。

COMPUTING STRESS INTENSITY FACTOR USING PARTITION OF UNITY ENRICHED NATURAL ELEMENT METHOD

单位分解增强自然单元法计算应力强度因子

A Medical Image Elastic Registration Approach Based on Radial Basis Functions and Partition of Unity;

基于径向基和单位分解的医学图像弹性配准

Control of Several Classes of Nonlinear Systems Using Partition of Unity Method;

基于单位分解方法的几类非线性系统的控制

Level Set Method of Structural Optimization Design Based on thePartition of Unity

基于单位分解法的水平集结构优化设计

The Partition of Unity Method on the Basis of Local Polynomial Approximation Spaces and Its Error Analysis;

基于局部多顶式近似空间的单位分解方法及其误差分析

Optimal Error Analysis of Partition of Unity Method and Application of Algebraic Multigrid Algorithm;

单位分解法的最优误差分析和代数多重网格法的应用

Error Analysis of the Partition of Unity Method Based on Local Polynomial Approximation Space;

基于局部多项式近似空间的单位分解方法的插值误差估计

On the growth of the solution of two-order differential equations in the unit disc

单位圆盘上二阶微分方程解的增长性

On the Zeros of Solutions of f″+A(z)f=0 in the Unit Disc

单位圆上微分方程f″+A(z)f=0解的零点

Several properities of solutions of linear differential equations in the unit disc

单位圆上线性微分方程解的几个性质

The division of or tendency to divide a society into subclasses, groups, or units.

分析论一种将社会分解或趋向于分解为集合，小组或单位的学说

Solve the Location of the Customer Order Decoupling Point Based on AHP;

基于AHP解决客户订单分离点的定位问题

Solving Problems by Transforming Geological Prospecting Units into Enterprises;

地勘单位向企业过渡必须解决de主要问题分析

Decomposition Method of Indicators of Decreasing Energy Consumption Per Unit GDP in Gansu Province

甘肃省单位GDP能耗降低指标的分解方法探析

The Property of the Solutions of Higher Order Non-homogeneous Differential Equations in the Unit Disc

单位圆内高阶非齐次线性微分方程解的性质

Solutions of Differential Equation f′~2=a_0(z)(f-a_1(z))~2f in the Unit Disc

单位圆内微分方程f′~2=a_0(z)(f-a_1(z))~2f的解

The Hyper Order of Solutions of Higher Order Linear Differential Equations with Analytic Coefficients in the Unit Disc

单位圆内解析系数的高阶线性微分方程解的超级

centigrade heat unit

百度热量单位;百分度热量单位;百分温标热单位