查询词典 essential boundary condition

Interfacial heat transfer coefficient between casting and mould is an essential boundary condition in simulation of metal solidification.

金属凝固过程中，铸件与铸型间的界面换热系数是数值模拟所必需的边界条件之一。

And it uses a penalty parameter technique to enforce the essential boundary condition. MLPG is developed to solve axisymmetric problems in this paper.

MLPG方法处在发展中，关于其求解效率、精度以及可应用的领域等方面的研究非常有限，有待大力改进和完善。

Further, a direct interpolation method is used to impose the essential boundary condition without use of the penalty function and the Lagrange multipliers method.

通过悬臂梁和无限开孔板两个算例验证了本文方法较传统的无网格局部Petrov-Galerkin方法在计算效率上有了较大的提高。

In the dissertation, meshless element free Galerkin method which utilizes moving least square is used for solving heat transfer problems. Lagrange multiplier method is used to deal with the essential boundary condition. Some parameters in element free Galerkin method, which influence the precision, are also discussed in the numerical simulation. The adaptive method of meshless method is also stated.

本文采用了基于移动最小二乘近似的无网格伽辽金法计算了热传导问题，采用拉格朗日乘子处理本征边界条件；讨论了无网格伽辽金法各个计算参数在数值模拟中对计算精度的影响；并对无网格的自适应方法进行了研究。

We can not apply Galerkin methods with radial basis functions to the first boundary value problem (the Dirichlet boundary value problem) of the second-order elliptic equation, because it requires that the approximate functions should fit the essential boundary condition, while the spaces spanned by the radial basis functions fails to satisfy this kind of boundary condition, and it is the same for the higher-order elliptic equation.

我们不能直接应用这样的无网格算法求解二阶椭圆型方程的第一类边值问题(Dirichlet边值问题)，因为第一类边界条件是本质边界条件(对二阶椭圆型方程为Dirichlet边界条件)，而径向基函数的支集通常是全空间，由它们所生成的近似函数空间一般不满足这样的条件。

The penalty function is adopted to impose the essential boundary condition, the tensor product weight function with a rectangular influence domain is chosen, and the finite element background cell is considered as the integration unit.

将无网格再生核质点法用于刚塑性可压缩材料轧制过程的模拟，采用罚函数满足本质边界条件，选用矩形影响域的张量积核函数，利用有限元网格作为积分单元，对求解域内和边界上采用不同的高斯积分方案。

Based on the good essential boundary condition processing capability of radial point interpolation meshless method, as well as the better computing efficiency of Element-free Galerkin method, the mixed method coupling EFG and RPIM is used to deal with the essential boundary condition.

基于径向基点插值无网格方法良好的本质边界条件处理能力，以及无网格伽辽金方法较好的计算效率，应用混合元法耦合两种无网格方法进行了本质边界条件的处理，数值算例结果表明：混合元法简明有效，计算概念清晰，易于编程计算。

Element-free Galerkin Method is a effective method for solving partial differential equations with the help of shape functions coming from moving least squares approximation. It is well-suited to problems involving large deformation and crack propagation etc on which Finite Element Method can not be used easily. But EFGM is computationally expensive and it is hard to impose the essential boundary condition. Coupling the EFGM and FEM can fetch up the defect of EFGM and improve the efficiency highly.

无网格伽辽金法是基于移动最小二乘法的一种用来求解偏微分方程非常有效的方法，在处理诸如高度大变形、裂纹动态扩展等有限元法较难解决的问题时有其独特的优势，但是存在处理边界条件复杂，计算量大的不足，将无网格法同有限元耦合可以解决这些缺点，极大的提高计算效率。

The meshless analysis of the plastic forming processes is realized with the hypothesis of the rigid-plastic material,the velocity field simulated by the moving least square method and the essential boundary condition employed by the transformation method.

将无网格方法引入金属塑性成形过程分析，基于刚塑性材料假设，采用移动最小二乘法对速度场进行逼近，利用变换法施加本质边界条件，实现了金属塑性成形过程的无网格方法模拟。

Half penalty method and optimism design of ten connecting bar mechanism of plunger slide in double action drawing press;2. The essential boundary condition is imposed by employing a penalty method .

将选择施加在"虚结构"控制点上的虚载荷作为形状优化的设计变量，并将它与无网格Galerkin法相结合来开展结构形状优化研究，采用罚函数法来施加边界条件，通过直接微分法建立了结构形状优化的离散型灵敏度分析算法，利用无网格法研究了节点坐标关于设计变量导数的计算。

This is not an ordinary box, which is used as a background picture of the dialog box, very pretty.

详细说明：这可不是一个一般的对话框，它是用图片作为背景的对话框，非常好看。

Conceal me what I am,and be my aid for such disguise as haply shall become the form of my intent.

遮掩我的身份，帮助我，我的面具将成为我的目的。