问题求解

The irrational function forms interpolation on a polygonal element with arbitrary nodal distribution was constructed by using mean value coordinates of polygonal elements.

本文采用多边形单元的平均值坐标，构造任意节点分布的多边形单元无理函数形式的插值函数，提出了一种求解微分方程边值问题的多边形有限元方法。

So the adaptive genetic algorithm is efficient and feasible in back analysis for seepage coefficient of arch dam.

因此，自适应遗传算法为渗流领域求解反演问题提供了新的途径。

The structrual characterizations of symmetric arrowhead matrices are discussed and the general expressions of solutions are obtained.

并且还讨论了相应的最佳逼近问题，给出了最佳逼近解的表达式及求解的数值算法和算例。

In the thesis the task assignment problem optimization based on Ant System is studied.

本文研究了基于蚁群算法的任务指派问题优化求解。

In order to solve this problem, the optimization strategies can be introduced to associative classification algorithm.

为了解决该问题，可以将优化求解策略引入到关联分类过程中。

Then, taking the wave problems governed by the Helmholtz equation as an example, several conventional infinite elements such as the Bettess element, the Astley element and the Burnett element are compared and reviewed.

首先介绍无限单元的概念和无限元方法的特点；围绕求解以Helmholtz方程控制的波动问题，评述几种常规无限单元的优劣，这些单元包括Bettess元、Astley元和Burnett元。

These algorithms contain rich information of system structure, especially, the information of coupling and structure at infinity.

给出非正则反馈线性化问题有解的一系列构造性的充分条件以及必要条件，以及求解线性化反馈变换的递推算法。

To avoid or reduce re-analysis, we derived the augmentative matrix variation only in summation of the previous matrices time the outside-perturbed parameters by decomposing the element stiffness and mass matrix. The implicit function of amplitude about design variables such as cross-areas and lengths is changed into simplistic function about the perturbed parameters of design variables. Several methods for determining the value of perturbed parameters are detailed.

为避免或减少重分析，将有限元单元阵进行了分解变换组装，使振幅与设计变量如截面面积、长度的复杂隐函数关系转化为对设计变量摄动参数的显式关系，进而将设计变量摄动参数提取在分解后的几个常数刚度阵、质量阵之外，避免了在迭代求解过程中重组刚度阵与质量阵，较快地获得问题的解。

The many exact solutions, such as, trigonometric function, solitary pattern solutions, solitary wave solutions, Jacobi and Weierstrass elliptic function solutions are given by the auxiliary equation method.

近来，随着计算机技术的发展，关于孤立波的研究越来越多的依赖于计算机软件的应用，随之产生了一系列求解非线性波动方程的新方法，并且这些方法逐渐的被应用到离散的非线性微分—差分系统中来研究离散系统的孤立波问题。

The incremental equilibrium formulation and its equivalent iterative equation of the constant average acceleration Newmark method are deduced.

提出了增量形式Newmark法的等效迭代格式，该等效格式求解分缝拱坝非线性问题简便可行。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷