变分方程

Based on Hamilton variation principle, the equations of motion for the moderately thick rectangular plate with transverse surface penetrating crack on two-parameter foundation are established.

基于Hamilton变分原理，考虑板的横向剪切变形和地基耦合效应，建立了双参数地基上含横向表面贯通裂纹的中厚矩形板的运动控制方程。

Using triple integral equation based on scalar Green function for forward modeling transient electromagnetic response to a 3 D anomalous body, a frequency response of electromagnetic field component has been evaluated first on frequency domain, then the evaluated results has been transformed into time domain by using fast numeric filtering algorithm.

用基于张量格林函数的体积分方程对三维异常体进行瞬变电磁响应的正演模拟，首先在频率域内计算电磁场分量的频率域响应；然后利用快速数字滤波技术将计算结果转换到时间域。

With the method of constraint variation, we obtain the existence of the solutions for the equations.

运用强制变分方法，我们给出了在多种情况下方程解的存在性。

Based on the constrained variation principle, the penalty function suited to electromagnetic field calculation is proposed in this dissertation. Detailed research is conducted on some problems, such as the selection of penalisation parameters, the effect of penalisation parameters to the CPU time and the accuracy of solutions.

本文基于变分原理构造了适合电磁场数值计算的罚函数，得到了系统的控制方程，并对罚因子的选取原则及罚因子对计算精度和计算时间的影响进行了深入研究。

The approximation of meshless methods, the selection of weight function, the variational form and the discrete equation, and the numerical implementation are described.

描述了无网格法的近似方案、权函数的选择、变分形式和离散方程以及数值求解的实现。

Using the variational formulation and its discretization equation, we get its finite element algebra equation and solve it by the method of Newton iteration.

通过对方程做变分、离散得到其有限元代数方程组，并选择了Newton迭代法来求解该方程组。

image processing ; partial differential equation ; variational principle ; level set

源于变分原理的偏微分方程方法，是将所研究的图像处理问题归结

The author has founded mathematical method of optical design for flow type basing on the turbomachinery rule equation and classical variational principle.

作者从叶片机械的欧拉方程出发，运用经典变分原理，建立了风扇流型优化设计的数学模型，解决了风扇扭曲规律优化设计这一难题。

To increase effective resolution of a tilting mode satellite image, we present a novel variational partial differential equation restoration method, which employs the gradient fidelity term to compensate high frequency information.

利用梯度保真项具有补偿高频信息的能力，提出一种变分偏微分方程复原方法，用于提高斜模式遥感图像的有效分辨率。

A variational study on the propagation equation of bright soliton-like pulse under the influence of the fifth-order nonlinearity in optical fiber.

刘文军。五阶非线性作用下光纤中类明孤子运动方程的变分研究。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。