The system of generalized vector equilibrium problems with applications

In this paper, we introduce the system of generalized vector equilibrium problems which includes as special cases the system of generalized implicit vector variational inequality problems, the system of generalized vector variational and variational-like inequality problems and the system of vector equilibrium problems. By using a maximal element theorem, we establish existence results for a solution of these systems. As an application, we derive existence results for a solution of a more general Nash equilibrium problem for vector-valued functions.     

弹性波方程有限元模拟的曲边地表处理

本文对比研究了关于弹性波模拟中的曲边地表形状处理的两种方法,一种是用给定的实际介质数值划定的地表形状,另一种是用样条插值逼近地表形状.本文采用有限元方法进行弹性波数值模拟,给出了基于这两种方法计算的数值例子,并对结果进行了分析比较.结果表明使用后一种方法对地表进行处理时,地表人工离散产生的干扰明显减少,优于前一种方法.     

Reissner-Mindlin板问题的一种有限元近似解

通过应用对板的厚度做局部修改的混合有限元方法,计算R e issner-M ind lin板问题的近似解,得到横向位移和旋度的误差分别在H1模和L2模意义下的阶都是2,并且它们不依赖于板的厚度.     

肾小球疾病时微量元素代谢的变化

用发射光谱法测定了55倒广州地区居民患肾小球疾病时血清和头发申锌、铜、铁、钴、铬、锰含量，观察对象包括肾病综合征组17例，肾炎组17例，尿毒症组21例．对照组为30例健康人。其年龄、性别构成比、地区与观察组无显著性差异．结果经统计学检验发现肾病综合征组病人血清锌、铜、钴及头发锌、钴含量均明显下降，头发铜无明显变化，肾炎组血清钴、头发钴明显下降，血清锌、铜及头发锌、铜无明显变化。尿毒症组病人血清锌、头发锌、钴显著下降，血清钴、铜及头发铜无明显变化．肾炎组、肾病综合征组及尿毒症组病人血清及头发申铁、铬、锰均无明显变化。     

Banach空间的型与B值随机元阵列完全收敛性的注记

该文在随机元阵列随机有界于某非负随机变量的条件下,进一步讨论了完全收敛性与Banach空间p型性质的等价性.     

Potential flow around obstacles using the scaled boundary finite‐element method

The scaled boundary finite‐element method is a novel semi‐analytical technique, combining the advantages of the finite element and the boundary element methods with unique properties of its own. The method works by weakening the governing differential equations in one co‐ordinate direction through the introduction of shape functions, then solving the weakened equations analytically in the other (radial) co‐ordinate direction. These co‐ordinate directions are defined by the geometry of the domain and a scaling centre. The method can be employed for both bounded and unbounded domains. This paper applies the method to problems of potential flow around streamlined and bluff obstacles in an infinite domain. The method is derived using a weighted residual approach and extended to include the necessary velocity boundary conditions at infinity. The ability of the method to model unbounded problems is demonstrated, together with its ability to model singular points in the near field in the case of bluff obstacles. Flow fields around circular and square cylinders are computed, graphically illustrating the accuracy of the technique, and two further practical examples are also presented. Comparisons are made with boundary element and finite difference solutions. Copyright © 2003 John Wiley & Sons, Ltd.     

浅水波方程的一种基于特征方向的Galerkin方法

本文给出求解二维浅水波方程组的一种Crank-Nicolson型基于特征方向的Galerkin有限元方法，证明了该方法的一个误差估计结果，并给出了该方法的一个算例．     

Modes computation and analysis for long multi-span bundle conductors of power transmission lines with galloping control devices

A new type of element which is suitable for solving the modes of the galloping long multi-span bundle conductor structures is presented. The element is composed of all sub-conductor segments between two spacers. Based on the linearized governing differential equations of the conductors, the mass matrix and stiffness matrix of the element in consideration of the constrained relations imposed on the conductors by spacers are derived. The dynamic characteristics of the galloping control devices can be directly added to the element. The modes for an actual power line structure are computed by using the element formula and FEM procedures, where seven cases of different galloping control device allocations are considered. Compared with the measured data, the method is shown to be reliable and effective. Analysis and discussions of the computational results are given. Some hints that are helpful to further investigation of galloping are also obtained.     

三维热传导型半导体问题的交替方向有限元方法

1　引　　言三维热传导型半导体器件瞬态问题的数学模型由四个非线性偏微分方程描述[1 ,2 ] ,记 Ω为 Ω=[0 ,1 ] 3的边界 ,三维问题-Δψ =α( p -e+ N( x) ) ,　　 ( x,t)∈Ω× [0 ,T] ,( 1 .1 ) e t= . ( De( x) e-μe( x) e ψ) -R( e,p,T) ,　 ( x,t)∈Ω× ( 0 ,T] ,( 1 .2 ) p t= . ( Dp( x) p +μp( x) p ψ) -R( e,p,T) ,　 ( x,t)∈Ω× ( 0 ,T] ,( 1 .3 )ρ( x) T t-ΔT =[( Dp( x) p +μp( x) p ψ) -( De( x) e-μe( x) e ψ) ] . ψ,　　　　　　 ( x,t)∈Ω× ( 0 ,T] . ( 1 .4 )ψ( x,t) =e( x,t) =p( …     

简易发波水槽振荡发生器的制作

本文介绍一种发波水槽振荡发生器的制作。简单易做，工作稳定。