本文利用变分有限元法、样条函数等，提出了薄壁箱梁结构分析的数值理论和方法。
This dissertation establishes numerical methods in structural analysis on the basic of variation principle, finite member element method, spline function, etc.
本文运用赝势函数变分有限元方法数值模拟了绕翼型的跨音速有旋流动。
The variation finite element method (FEM) using the pseudo-potential function was presented for the simulation of transonic rotational flows.
对于二元正态分布函数，仅需给定插值区域两边的双边界值，即可得到该区域上任意一点分布函数值。
With the given values of bivariate normal distribution function on the two biboundaries of a rectangular region, the values of distribution function on the rectangular region can be found.
线性边界元法（LBEM）是在常数边界元法（CBEM）的基础上，从线性插值函数出发将边界单元按线性分布来进行处理的一种数值方法。
The linear boundary element method (LBEM) is based on the constant boundary element method (CBEM), it makes boundary element into linear segment from linear interpolating function.
响应面有限元的可靠度计算是采用有限元数值模拟来解决功能函数不能明确表示的结构可靠度计算问题的一类方法，对于大型复杂结构的可靠度分析有重要的意义。
Reliability calculation based on response surface FEM method utilizes the FEM numerical simulation to solve the reliability problems in which the analytical performance function can not be given.
负电荷激子是三个带电粒子的体系，构成本征函数的基矢数以及哈密顿矩阵元都极大，数值计算艰浩。
A negatively charged exciton is a system of three charged objects, making the numerical computations difficult due to the large size of the basic vector set and the Hamiltonian matrix.
最后利用微元法得到了射流流量随时间变化的函数关系式，并和数值模拟值进行了对比，分析了各设计参数的影响。
For the end, an equation of mass flux of jet about time deduced by the differential element method was compared to CFD results, and the influence of design parameters was analyzed.
最后利用微元法得到了射流流量随时间变化的函数关系式，并和数值模拟值进行了对比，分析了各设计参数的影响。
For the end, an equation of mass flux of jet about time deduced by the differential element method was compared to CFD results, and the influence of design parameters was analyzed.
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