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MGM is introduced to solve field distributions in 3-D electron optical systems. The difference equation, the discrete form of Laplace's equation, is deduced in 3-D Cartesian coordinates. In view of the smooth effect, MGM combines Gauss-Seidel iteration with a technique known as coarse grid correction. Formulae for restriction and prolongation are deduced and expressed in terms of tensors.

将多重网格法引入电子光学系统中三维静电场的计算,对三维笛卡尔坐标系中的差分方程,采用高斯-赛德尔迭代法求解差分方程组,并结合迭代过程讨论了粗网格的误差校正技术;在不同网格层之间进行场值的限制和延拓,推导了三维静电场中的限制、延拓公式并以张量的形式表示。

In design of floating-point division, we can use functional iteration arithmetic or very high radix division arithmetic. In the beginning, we use a look-up table to obtain an accurate initial reciprocal approximation, and reduce the time of delay.

在浮点除法器的设计中,若用函数迭代或高基数算法进行除法运算,计算开始时,通过浮点倒数查找表获得一个较精确的初始除数倒数近似值,可以减少除法的迭代次数,缩短运算的延迟。

The Hessian matrix of every function in this model is constant, so it will be calculated once in the entire optimal process based on interior point method, which speeds up each iteration.

该新模型的海森矩阵是精确的常系数矩阵,在内点法迭代过程中只需要计算一次,从而缩短了每次迭代的计算时间。

To study numerical solution of the linear equations,the article presents direct method ,Jacobi iterate method and Gauss-seidel iterate method to approximately calculate,and has given its process in MATLAB.

为研究线性方程组的数值解,文章用直接解法、雅可比迭代法、高斯-赛德尔迭代法进行了近似计算,并给出在MATLAB中计算的程序。

Based on prestressed steel beams, considering effect of the method of construction to slip and stress increment, accoding to conception that procedure of calculation reflects the procedure of construction and change of structural internal force, making good use of the method of section conversion and making iteration reflect the coupling of slip and stress increment, bringing forth a method of iteration and modified stiffness to calculate the deflection of prestressed composite steel-concrete beams in normal servicing prase.

以预应力钢梁为基础,充分考虑施工方法对结构滑移和应力增量的影响,依据设计计算中反映施工过程和结构受力变化过程,通过截面换算,以循环迭代法来考虑滑移和预应力钢束的耦合作用,提出了计算预应力钢—混凝土组合梁正常使用阶段挠度变形的迭代—修正刚度法。

Gauss- Seidel iterative and Jacobi iteration is different-first to be calculated first, used again in the second for the right side of the ceremony, followed by analogy.

Gauss-Seidel迭代和Jacobi迭代不同的是先计算第一式得到,用此数再参与第二式的右端的计算,依次类推。

In the iterative process of IPO, the fast multipole method is employed to accelerate computation.

利用迭代物理光学法计算一般电大尺寸腔体的电磁散射特性,在迭代过程中用快速多极子方法加速计算。

To assure astringency, sometechnologies have been used such as iterative penality function methods,assemblage mass matrix, reduced integration algoritlun, NeWton iteration methodwith parameters for non-linear equation set, introducing relax factors and doublesteps solution and so on, and an algorithIn for solving the nonlinear equation set offlow field by FEM has been presented.

基于有限元法建立了流场求解列式,为保证其收敛性,采用了迭代罚函数法,集中质量矩阵,缩减积分计算,带参数的Newton迭代求解,引入松驰因子及双层解法等技术,提出了一套适合流场有限元方程计算的非线性方程求解方法。

The inclusion cell is the bridge of macro and micro mechanical-electrical responses, but also provides a direct relationship between meso/micro grain characteristic parameters and between globe macro performance, which could become a great help for the study on damage, fatigue and fracture mechanism of ferro-electrics.

通过采用基于Hill理论的扩展的自洽计算方法,将其从一般多晶材料、复合材料的纯力学性能描述,扩展到具有力电耦合的复杂情况,建立其整体迭代和局部迭代的计算方法,得到铁电多晶材料的非线性力电耦合关系的描述。

According to the analysis and computational results in this thesis, although the actual structure and work conditions of the pressure vessel in nuclear power station are much more complex than that of the pressure vessel model, the program FEARPV still can get quite good convergence on the plasticity andcontact iteration. And also the program FEARPV has good value stability, and good regularity. During the heating, compression, constant temperature, constant pressure, cooling and decompression process, the regularity is basically in common with that of the pressure vessel model.

由本文分析计算可知,虽然电站核压力容器的结构及计算工况较压力容器模拟体复杂得多,然而反应堆压力容器瞬态密封有限元分析程序对塑性迭代和接触迭代仍具有很好的收敛性,数值稳定性好,得到的结果具有良好的规律性,在升温、升压、恒温、恒压、降温和降压等过程中其规律和压力容器模拟体基本相似。

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