查询词典 variational problem

Hence, it is meaningful to study the efficient numerical methods for solving variational inequality and complementarity problem.

因此，研究其快速数值解法是十分有意义的。

In this thesis, the applications of the parametric variational principle and the parametric quadratic programming method in the structural dynamic elastic- plastic response analysis and the dynamic strain softening problem are studied.

本文针对参变量变分原理以及基于此原理的参数二次规划方法在求解结构弹塑性动力响应和动力弹塑性软化问题中的应用进行了研究。

The discretized frictional contact problems can be reduced as a linear complementarity problem using parametric variational principle and parametric quadratic programming method. Then we can apply the algorithms proposed in this thesis to the solution of the contact problems.

利用参变量变分原理和参数二次规划法，离散后的接触问题可化为线性互补问题，之后，将第二、三章提出的互补问题算法应用到接触问题的数值求解中。

In Chapter 5, we study three dimensional elasto-plastic frictional contact problems with orthotropic friction law. Parametric variational principle and parametric quadratic programming method are applied to analyze this class of complicated mechanics problems. A linear complementarity problem formulation is derived.

在第五章，我们采用正交各向异性摩擦定律模型对三维弹塑性摩擦接触问题进行分析，将正交各向异性的摩擦定律线性化后，将参变量变分原理和参数二次规划法应用到这一复杂的力学问题中来，最终将问题化为线性互补问题模型。

After solving the problem, the variational inequality sensitivity analysis method, generalized inverse approach, and gradient projection method are adopted to provide the solution algorithms for the bi-level programming model.

综上所述，本研究旨在建一套灾后网信赖评估方法，以解网是否满足灾后疏散的运输需求，并针对段容退化的关键段进修，进而提供灾害应变单位有效的决策支援。

The existence theorem of generalized weak efficient solutions with respect to variable, cone for a linear G〓teaux differentiable mapping is proved with set valued mapping fixed-point theorem and the relation between a vector optimization and a variational inequality problem. The existence of weak efficient solutions for multi-objective convex vector optimization is characterized.

建立映射在线性G〓teaux可微条件下关于可变锥的广义弱有效解的存在性及多目标凸向量优化问题在G〓teaux可微条件下弱有效解的特征，利用集值映射不动点定理及向量优化与变分不等式的关系证明线性G〓teaux可微锥凸映射关于可变锥的广义弱有效解的存在性定理。

Secondly, we conside some kinds of projection iterative schemes for variational inequality problem ≥0, which divide to two aspects, one is S is the single-valued operator, the other is S is the multi-valued.

其次，讨论了变分不等式≥0中S为单值算子和多值算子情况下的几种投影迭代算法。

In order to solve this problem,the genetic algorithm is applied to fit the spherical model variational function,because the genetic algorithm is a robust method for search for the optimum solution to the complex problems.

为解决这一问题，结合遗传算法原理，充分利用遗传算法在求解非线性问题时具有全局寻优的特点，拟合出球状模型的理论变异函数参数，并以小湾水电站左岸堆积体边坡的变形监测数据为例进行了计算。

A variational method with differential forms gives better precision for numerical solution of transport critical problem based on spherical geometry, and its computation seems simple than other approximate methods.

对于球几何问题，讨论了一种基于微分方程的变分形式求解方法，数值计算显示达到了较满意的精度，而且计算过程比起其他近似方法要简单

The results on existence and uniqueness of solution for the problem (1)-(3) are obtained by using of a variational method and an integral equation approach respectively.

还研究了特殊情形时的洞穴重构问题，给出了重构洞穴边界的正则化Newton方法，不仅对此做了理论分析而且成功的进行了数值模拟。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。