查询词典 variational problem

In this article, a class of nonlinear elliptic boundary value problems with singular coefficient in one-dimensional domain was considered.first of all existence and uniqueness of the weak solution of the variational problem correspondin

本文考虑如下一维四阶非线性奇异边值问题 Lu=D~2p(xD~2u-Dp(xDu+pu=fx，u(x x∈I≡(0，1)u(0)=u′(0)=0 u(1)=u′(1)=0的有限元方法。给出相应问题广义解的存在唯一性和先验估计，并通过与解的E-范数投影相比较得到Galerkin逼近的L_2和最大

These problems include the selfadjointness of the coefficient matrix operator, the functional of the matrix operator equation, the equivalence between variational problem and boundary value problem of eddy-current fields, and the extreme value principle of the functional.

本文首先从求解时谐涡流场的〓-ψ法与〓-Ω法的矩阵算子方程出发，提出了时谐涡流场的统一矩阵算子方程，进而系统地讨论了该方程的系数矩阵算子的自伴性、矩阵算子方程的泛函、涡流场边值问题与对应变分问题的等价性以及泛函的极值原理。

It is known theoretically that to the variational problem with weak constraints in cost functional J, its Euler equation can be discreted into difference format, by using matrix theory and difference method of partial differential equation we know that there exists optimal selection of weight factors in the cost functional under the condition of minimal variance between analysis field and ideal field.

从理论上可知，对于目标泛函J带有约束条件的变分问题，将其Euler方程离散成差分形式，利用矩阵理论和偏微分方程的差分方法，则目标泛函的权重因子，在分析场和理想场的最小方差意义下存在最优选取。

In the case of strong nonlocality, the response function can be expanded in Taylor's series, so that the variational problem can be found in a closed form.

在强非局域的情况下，通过对介质响应函数进行泰勒展开，可以解析地表示变分问题。

The second chapter studies the optimal selection of functional weight factors in the variational problem.

第二章研究了变分问题中泛函权重因子的最优选取。

Many contact problems are induced to boundary values and variational problem.

许多接触问题可归结为边值问题和变分问题。

The quasi-Newton iterative method in optimization is used to solve the numerical solution of this variational problem.

该模型最终由最优化领域中的拟牛顿迭代法实现数值求解。

The cartoon-texture decomposition is presented by a variational problem.

构造了一个变分问题来实现图像的纹理结构分解。

Based on the Galerkin Method the variational problem for the point source 2.5-dimensional electricfield is derived and the corresponding finite element equations are obtained.

基于Galerkin法推导了点源2.5维电场的变分问题，得到了对应的有限元方程组。

Firstly, the mesh dependent norms are introduced and the equivalent mixed variational problem of the fourth order obstacle problem is derived by the penalty method.

首先，引入网格依赖范数，通过加罚方法得到了与四阶障碍问题的等价的混合变分形式。

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。