查询词典 galerkin equations

The basicflows are computed by a low-dimensional Galerkin method.The results confirm thattwo times global mode switching occur with increasing Re up to which the Hopf bifur-cation occurs when the absolutely unstable region cover the whole reversed flow region,and the first explanation of this phenomenon with absolute/convective instability theoryis given.

结果证实了只有当绝对不稳定性区域完全覆盖了回流区才会形成整体的Hopf分叉，此前随着Re数的增加整体模态经历了两次跳跃；并首次用绝对/对流不稳定性理论解释了这一现象。

The three-dimension alternative electromagnetic field of square billet soft-contact mold was simulated by using the Galerkin finite element method.

摘 要：运用Galerkin有限元法对方坯软接触结晶器内三维交变磁场进行了数值模拟。

Shadow effect can not be neglected for thermal analysis of spacecraft,Accroding to the angle between solar light and antenna orbit plane and its orbit location,analytical geometry method was used for accurately calculating solar radiation heat flux distribution of reflector surfaces.To analyze the temperature field under heat flux,the formulations of net radiation flux density between two gray elements and the net flux density of gray surface under external thermal flux were deduced.Based on the characteristic of space environment,the nonlinear temperature distribution in transverse direction of reflector shell self radiation were considered,the finite element formulations were given for orthogonal material layered shell by Galerkin method.A layered element including a inner heat source layer was proposed,and the finite element formulation expressed by DOF of the inner heat source layer were put forward with temperature and heat flux boundarys between adjacent layer.

单馈反射面赋形天线是未来星载天线发展的一个重要形式，分析了基于物理光学、几何光学和几何绕射理论的理想反射面辐射场；介绍了基于几何光学的反射面天线赋形方法；针对赋形过程中辐射场的快速分析要求，比较分析了基于物理光学的Fourier-Bessel和Jacobi-Bessel级数展开方法以及GB展开分析方法；利用GB展开快速分析方法在20GHz频率下对0.6m口径的天线进行赋形分析，实现中国大陆的30dB增益覆盖，通过数值计算研究了固定增益期望下的口径尺寸随频率的变化，以及频率为20GHz的不同尺寸天线赋形后的覆盖目标区域最大增益的变化情况。

In this paper, Galerkin method is employed. First, test functions to satisfy natural boundary conditions are selected. Then the approximate analytic formulations of the system frequency are derived. Meanwhile the approximate analytic formulation of the limit velocity is got.

采用直接法，首先选取满足自然边界条件的试函数，而后求出了系统固有频率的近似解析公式，同时也得到了极限流速的近似解析公式。

In the numerical simulation analysis, a Galerkin finite element method with arbitrary Langrangian-Eulerian coordinate is adopted to solve the flow and thermal fields for moving boundary problem.

又采用的数值模拟为Arbitrary Lagrangian-Eulerian座标描述系统，配合葛拉金有限元素法，处理此种流体与固体介面间相互影响的问题。

This thesis gives the B-spline wavelet and essential quality of it, proponing the solving array expression of combining B-spline wavelet and Galerkin method.

给出了B-样条小波函数及其基本性质，并提出了B-样条小波与Galerkin方法相结合的求解列式。

Local discontinuous Galerkin method for convection-dominated diffusion problems with periodic boundary conditions is constructed. To deal with the derivative of second order, an auxiliary variable is introduced. The stability and error estimations are presented simultaneously.

针对具有周期性边界条件对流占优的扩散问题中的二阶导数，引入辅助变量，构造了局部间断Galerkin方法，并给出了方法的稳定性结果和误差估计式。

There are three difference formats in this thesis. They are backward difference, Crank-Nicolson"s difference and Galerkin"s difference.

本文对时间域采用的离散格式有两点向后差分、Crank-Nicolson格式差分和Galerkin差分等。

In this paper we explore multiresolution approximation to the solution of the boundary value problems in intervals and rectangular fields for the biharmonic equation using wavelet-Galerkin methods.

本文主要用小波－伽辽金方法研究了区间以及矩形域上双调和方程边值问题的解的多尺度逼近。

Firstly, we discuss the boundary value problem of one dimensional biharmonic equation in an interval and its variational problem,multiresolution analysis in the Sobolev space , then solve it with wavelet-Galerkin methods.

首先本文讨论了一维双调和方程边值问题及其相应的变分问题，定义Sobolev空间的多分辨分析，用小波–伽辽金方法进行数值求解，两组基下得到的系数矩阵为七对角阵和块状对角阵。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。