变分法

In the paper,a three-dimension finite difference scheme is presented to examine the stresses fields in the vicinity of a free rectangular corner of a l aminate subjected to a thermal loading.

对层合复合材料自由角附近的层间高应力问题，提出了一种三维有限差分法方案计算层合复合材料在变温下的自由角附近的应力场。

A finite-difference time-domain algorithm is applied to study the one-dimensional unmagnetized plasma photonic crystals with time-varying, collision, warm, isotropic plasma.

采用时域有限差分法给出了电磁波通过时变的、各向同性的、热的、碰撞的等离子体构成的一维非磁化等离子体光子晶体的FDTD算法公式。

Firstly, the lake water quality model is developed under the condition of both internal and external pollution by using the method of microelement analysis, then homogenizes the non-cylindrical boundary condition and utilizes the methods of vector expending and pseudomonotone of the variational operator, and last the existence and uniqueness of the solution for a type free initial-boundary value problem is obtained.

本文首先运用微元分析法导出在外源和内源双重污染下湖泊水质模型，然后对一类自由初边值问题通过对非柱形边界条件的齐次约化，运用变分型算子的向量扩张和拟单调方法获得解的存在性、唯一性。

According to the dynamics analysis of the cotton sliver coiling process,by considering the minimum friction of cotton sliver caused by screwy pipes as objective function the design of screwy pipes of can coiler is explained based on the theory of the variational direct-method.

对棉条圈条过程定量地进行了动力学分析，以棉条所受曲线斜管摩擦力最小为目标函数，基于变分问题直接法原理设计出圈条盘螺旋形曲线斜管。这种螺旋形曲线斜管充分利用圈条盘的转动对棉条产生的离心力甩摆作用，使棉条所受曲线斜管摩擦力较小，从而使出条更顺畅；在一定程度上降低了圈条盘螺旋形曲线斜管堵眼频率与条筒乱条几率，使其更适应现代并条机生产高速化的要求

To this end, a numerical approach combined by the finite element method for magnetic fields and the finite difference method for deflection of the microsensor is proposed to analyze quantitatively the deflection under magnetoelastic interaction.

为此，建立了由有限元方法分析磁场与有限差分法计算挠曲变形相结合来计算其结构在磁场中产生磁弹性变形的定量分析程序。

To maintain the consistency of ODEs, FEMOL formulation based on moving boundary variational principle was established, including

二、建立了基于动边界变分的有限元线法分析的基本理论。

The variational form of the governing equations is given on the basis of the extended Hu-Washizu three-field variational principle.

基于胡海昌-Washizu三变量广义变分原理结合特征线法给出了控制方程的单元弱形式。

To overcome the defects mentioned above,a novel method called semi-inverse methodis proposed to deduce generalized variational principles with multi-variables.

根据以上分析作者提出了一种建立广义变分原理新的方法——凑合反推法。

Via semi-inverse method,the author has deduceda most concise generalized variational principle with only one Lin's constraint and onecorresponding Lagrange multiplier.

应用凑合反推法，作者推导得到了一个较为简洁的林家翘约束的广义变分原理，即只需一个林家翘约束和一个相应的拉氏乘子。

In Chapter 2, an existence theorem is obtained for periodic solutions of non-autonomous second order systems with even-typed potentials. We also investigate solutions of linear bounded positive self-conjugation operators equations in Hilbert Space by variation methods.

第二章主要利用临界点理论中的归药方法、极小作用原理研究具偶型位势的二阶非自治系统周期边值问题，得到了周期解的存在；利用变分方法证明了Hilbert空间中有界线性正自共轭算子方程解的存在性。

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。