查询词典 variational method

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。

We study the existence of nonlinear elliptic equation by variational method and critical point theory, combined with sub- and sup-solution method.

第二章我们考虑非线性椭圆方程和带有局部p-凹凸非线性项的p-Laplace方程解的存在性，其中λ是正参数，0＜p＜1＜q。

This method is variational method, which will be much faster and more efficiency than other method.Firstly we use gauss integral method to disperse the least potential energy of barrette pile group, with the help of vertical settlement finite series and Mindlins equation, we derived vertical load-settlement solution of barrette pile group.

另外，目前有关壁板桩群桩水平承载特性的研究也比较少，因此，为了加深对壁板桩群桩承载特性的理解，本文利用变分法对壁板桩群桩竖直或水平受荷情况下的承载特性进行了初步的研究，通过变分法直接得出荷载位移显式方程，较之以往方法更加快捷。

Axisymmetric nonlinear free vibrations of bimetallic shallow shells of revolution with uniformly distributed stationary temperature changes are investigated using the energy variational method and the homotopic perturbation method.

数值结果表明，变温对双层扁壳非线性振动的频率有明显的影响，而扁壳矢高可以改变振动的弹簧特性。

Results on existence and uniqueness of the solution for the diffraction problem are obtained by variational method and integral equation method, respectively.

考虑一类具有周期系数的Helmholtz方程，它是一类衍射光栅问题的数学模型，研究这类问题的数值解法。

The first section introduces some basic concepts[9].The second section introduces Schmidt"s method of proving isoperimetric inequality [2].The third section introduces Hurwitz"s method [9].The fourth section takes from my tutors lecture notes.The method is due to REILLY [10].Finally,I make use of variational method to prove the circle among the curves of length L encloses the biggest area on the plane.

首先介绍了平面上的一些基本概念[9]，其次介绍了文献[2]中Schmidt证明等周不等式的方法，再次介绍了文献[9]中Hurwitz证明等周不等式的方法，然后介绍了导师吴发恩整理的文献[8]中REILLY的方法证明平面上的等周不等式[10]，最后我利用变分的方法证明了平面上等长的曲线围成的面积最大时为圆。

Supposed stochastic variations are perturbed in a small range, we can get a nonlinear equation of these stochastic variations by using a Taylor series or a Neumann series expansion of the system matrix. The application of perturbation techniques translates this nonlinear equation into a pair of constant linear recursive equations. Then we have written a paper "Stochastic Finite Element Method for Interconnect Including Variational Analysis" which has been contributed to 11th Asia and South Pacific Design Automation Conference.

本文所取得的主要成果就是提出了一种新的算法，即用随机有限元来分析变化的互连线，将方程按随机变量泰勒展开或者纽曼展开，从而化无限维为有限维；应用matlab进行了算法仿真，并将结果与传统Monte-Carlo与GETA进行了比较；最后写了一篇文章《Stochastic Finite Element Method for Interconnect Including Variational Analysis》，已投第11届亚洲和南太平洋设计自动化会议。

It provides an effect theoretical tool for studying many nonlinear problems, mainly including topological degree method , variational method , partial ordering method and analytic method and so on.

它为解决各种各样的非线性问题提供了一个富有成效的理论工具。利用非线性泛函分析研究问题的主要方法有：拓扑度理论、临界点理论、半序方法以及分析方法等。

Besides, the relation between the variational principle and Calerkin variational method is deduced.

另外，还推导了该变分原理与Calerkin变分方法的关系。

In addition, some comparisons have been made between variational method and elastic theory method in this paper, proved the former to be a faster and efficiency method.

另外，本文还对变分法和弹性理论法在壁板桩中的应用进行了初步对比，二者结果相当，但是前者求解更加快速。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。