查询词典 galerkin equations

In this paper we study the method of interpolation by radial basis functions in H~k(k ≥ 1) and give some error estimates. By means of such interpolation with a special kind of radial basis function, we construct a basis in H~k(k ≥ 1). Combined with the Galerkin method, this theory can be applied to solve boundary value problems for elliptic partial differential equations (such as the third boundary value problem for Poisson equation and the corresponding problem for the biharmonic equation), and some numerical experiments are also given.

本文从求解偏微分方程的角度出发，在被逼近函数u属于一般的Sobolev空间H~k(k≥1)的情形，引入了一种径向基函数插值方法，并建立了相应的误差估计；再利用这种插值性质，从一类特殊径向基函数出发构造Sobolev空间的一组基，针对Poisson方程第三类边值问题和重调和方程类似边值问题，为用无网格算法求解偏微分方程边值问题建立了相应的理论，并通过算例来验证了这一算法。

In this paper, Computed water flow equation with finite difference method and solute transport equations with the Galerkin finite element method.

从国内外有关对地下水脆弱性概念的不同定义入手，通过分析和研究，提出了地下水固有脆弱性和特殊脆弱性的定义。

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。

Secondly, we prove the existence and the unique theorem of the strong solution for the equations by the Faedo-Galerkin approach.

据我们所知，这类问题解的存在性已有很多经典的结果，但关于全局吸引子的存在性还没有任何结论。

It lay emphasis on the research of Galerkin FEM equations for multiaquifers and its solution, and on the research of basic ideas and implementation of visual mesh auto-generation .

重点研究了潜水——承压水多层结构含水层系统的伽辽金FEM方程，并探讨了其数值解法，提出了基于可视化理念的FEM剖分软件系统设计的基本思想及其实现的方法。

The finite element equation of 3D3C CSAMT electric field is derived from Maxwell equations using Galerkin method.

首先从麦克斯韦方程出发，用伽里金方法推导了三维三分量CSAMT法的有限元方程。

Based on the element-free Galerkin method, the basic equations for steady thermal conductivity problem are deduced; and then the shaping of the coefficient matrices and load vectors in the discretization form of them are presented.

基于无单元伽辽金法基本理论，推导了稳态热传导问题的基本积分方程，并介绍了其离散形式中，包含刚度矩阵在内的各个系数矩阵和荷载向量的主要形成过程。

At last ,taking Kash as an example ,it evaluates this areas Groundwater Resources ,and give out three predicting projects by making use of visual FEM mesh generation software and the numerical solution of Galerkin FEM equations for multiaquifers .

最后以喀什噶尔地下水资源评价工作为例，利用可视化有限元自动剖分软件，以及伽辽金有限元数值解法进行了该地区的地下水资源评价，进行了多种开采方案的预测和对比工作。

Firstly, Hallen integral equation was performed to analyze the antenna. Then, the Equivalent Theory was used to build the electric field integral equation, the EFIE was translated into matrix equations by Galerkin method, and the scattering field can be calculated by the surface currents of the metal target. Finally, numerical calculation to representative scatters was conducted.

首先推导了有耗媒质中圆柱对称天线的海伦积分方程；然后利用等效原理建立导体表面的电流积分方程，并采用伽略金方法将积分方程组转化为矩阵方程组，求解出散射体表面的等效电流分布，计算出其散射场；最后以典型散射体为例，进行了仿真计算分析。

One of the primary methods to solve them is numerical method, and the other is Galerkin method, which change partial differential equations into normal differential equations, and then solve them with the traditional method.

小波分析已成为当前应用数学中迅速发展的新领域，它可以解决Fourier分析不能解决的许多困难问题，是近年来在研究工具及方法上的创新，已成为众多学科共同关注的热点。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。