查询词典 variational

To one kind of variational inequalities, some researchers give an alternating direction method, which solve a linear variational inequality and a system of nonlinear equations in each iteration.

针对一类变分不等式，有研究者给出了一种交替方向法，在每一步迭代中分别要求解一个线性变分不等式和一个非线性方程。

Lastly we made a comparison between variational method and finite element method on the lateral loaded behaviour of barrette pile group, and also proved variational method is a feasible and efficiency method.

论文在最后一章采用有限单元法和变分法对壁板桩水平承载特性进行了对比验证，证实了应用变分法分析壁板桩承载特性是一种可行和有效的研究方法。

According to that Caristi fixed point theorem is equivalent to Ekeland variational principle, we weaken the condition that the functional is bounded from below in Ekeland variational principle, then we enlarge the area of the applicable functionals.

鉴于Caristi不动点定理和Ekeland变分原理的等价性，我们对Ekeland变分原理中泛函的下方有界的要求作了相应的削弱，从而扩大了适用泛函的范围。

From the perspective of the variational discussion of Lagrange\'s contributions to the principles and analyzation of mechanics,the interaction between the calculus of variations and mechanics,especially the variational principles is made clear.

结合拉格朗日微积分代数化方案和18世纪可积性条件的研究，探讨了拉格朗日关于变分法基础研究的数学背景及相关工作；通过对《分析力学》中静力学约束平衡问题的细致考察，系统探讨了变分法中乘子法则的力学渊源、提出过程及意义。

In order to find the impact of cloud drift winds on variational data assimilation system and to provide reference for operational forecast of tropical cyclone, firstly errors of water vapor winds and infrared cloud drift winds in different levels have been analyzed in this paper; then, cloud drift winds of geostationary meteorological satellites-GMS 5 have been added in the GRAPES three-dimensional variational data assimilation system with radiosonde data.

首先分析了不同通道和层次的静止气象卫星云迹风产品的误差特征；然后，把云迹风资料放到GRAPES三维变分同化系统中进行同化，通过将不同观测类型资料的同化结果进行对比，探讨了红外通道和水汽通道云迹风资料对数值预报分析场的影响；最后，把同化后的分析场作为初始场，用WRF模式对2002年"森拉克"台风做24小时预报实验。

At present, although finite element methods is a kind of effective measures in analyzing metal plastically forming problems with friction, dynamic friction in the process of metal forming is substituted with static friction and constant frictional force as one of independent constraint conditions is transposed to equivalent node-load or FEM unit is divided into contact unit and inner unit in numerous studys and applications, so that it result in relative bad accuracy and awkward operation. These defects mostly attribute to the fact that FEM bases on the variational equality principles, however frictional constraint will actually result in variational inequality energy functional.

目前，应用于分析金属塑性成形的有限元法是一种有效的处理摩擦效应的定量计算方法，但是许多应用和研究是用常摩擦来代替金属塑性成形过程中的动态摩擦；把常摩擦力作为单独的约束条件移置到等效结点载荷上或把有限元单元划分成接触单元和内单元，这些将导致解的精度相对不高及实际操作不方便等一系列问题，产生这些不足的重要原因之一在于它的理论基础是变分等式原理。

The complementary variational principles are extened to two-medium region problems. The equivalence between variational problem and boundary value problem is proved.

将互补变分原理推广到包含两个区域的问题中，从数学上证明了变分问题与边值问题的等价性。

Part Ⅰ deals with the foundmental theory of variational technique in the lossy electromagnetic fields. In chapter two and three the Green theorem is introduced so the unified method to derive functional is given. Chapter four is devoted to discuss two type of inner product. In chapter five the generialized least function theorem is given and applied in the derivation of variational expressions.

第一篇主要是关于有耗电磁变分的基础理论，由四章组成，前二章引入了以Green定理为核心的边值问题理论，建立了电磁变分的普遍理论，第四章从对称的观点出发讨论了建立泛函的两种内积形式，第五章给出了一般电磁场的广义最小作用量原理，并用之解决变分问题。

Theory of variational inequality is an important part of nonlinear functional analysis, and variational inclusions are generalizations of variational inequalities.

在非线性分析中，变分不等式理论是一个重要组成部分。而变包含问题是变分不等式的一种重要推广形式。

Variational identity play a important role to prove nonexistence and get prior estimate of solution, In this thesis, we study following parts on the relationship of symmetry group of partial differential equations with variational structure and the variational identity.

变分恒等式在证明具有变分结构偏微分方程解的不存在性以及得到方程解的先验估计时有着非常重要的作用，本文研究了一些具有变分结构偏微分方程的对称群与其变分恒等式的关系。

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。