查询词典 variational problem

A variational formulation level set model based on the image global information is obtained, which can detect contours both with and without gradient based on global information and eliminate the re-initialization procedure. The stopping term does not depend on the boundary gradient of the image, which overcomes greatly the "over segmentation".

针对这种情况，该文提出了一种基于图像全局信息并且不需要重新初始化的变分水平集红外图像分割方法，不考虑图像边缘梯度的影响，将图像全局信息作为外部能量项，在很大程度上克服了边缘模糊时过分割的情况。

In the thesis a novel formulation of variable-domain variational principle for fluidmechanics has been successfully deduced,and the Kelvin's theorem has beenextended to steady compressible ones.

本文还排导得到了一个新型的变域变分公式，并把Kelvin原理推广到定常可压无旋流体。

The method uses expansion in terms of scaling functions to approximate the axial field component and transforms the field equation into a matrix equation by applying a variational formulation.

在该方法中，用尺度函数把场分量近似为级数，通过变分公式把波导问题化为矩阵方程。

The long-term seepage control effects of the surrounding rocks of the underground powerhouse are performed by a stationary seepage analysis method combining the variational inequality formulation of Signorini's type with an adaptive penalty Heaviside function to guarantee the numerical stability and convergence. Meanwhile, the difficulty in finite element mesh generation is reduced and the calculation time and modeling accuracy are balanced with a global model of equivalent modeling and a submodel of accurate modeling for drainage hole array.

为确保数值计算的稳定性和收敛性，采用Signorini型变分不等式和自适应罚函数相结合的稳定渗流分析方法，对厂房围岩的长期渗控效应进行计算分析；同时，采用基于等效模拟的整体模型分析和基于精细模拟的子模型分析相结合的方法，以减小有限元建模难度并协调计算量和计算精度之间的矛盾。

We give a modified algorithm to solve a kind of variational inequality.

4我们给出一个改进的算法求解一类变分不等式。

Hence, it is necessary to study the well-posedness for variational inequality to judge the stability of the sequence of solution.

因此有必要研究变分不等式的适定性来判断序列解的稳定性。

As special cases,some existence results of solutions to implicit vector variational inequality are presented.

作为特殊情况，给出了隐式向量变分不等式解的存在性结论。

The neural networks of the linear variational inequality are studied.

给出了一个解线性变分不等式问题的神经网络。

At last,we conclude the essay and put forward to some new questions and ways by which may be solved(variational inequality and functional analysis).

在文章的最后，对本文进行了总结，并且提出了一些新的问题以及可能解决的方法(变分不等式结合泛函分析的方法)。

In this dissertation, two problems in the variational inequality theory are mainly considered: the existence of solutions and the approximation schemes.

本文主要讨论了变分不等式理论中的两个方面的问题：解的存在性问题以及解的逼近问题。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。