查询词典 asymptotic expansion

The finite element method is combined with homogenization theory based on asymptotic expansion for predicting the macro and microscopic properties of cellular material s.

本文把均匀化理论与有限元法相结合，应用于多孔材料的弹性本构数值模拟，利用位移渐进展开建立了均匀化有限元列式。

By introducing proper stretchy variable and constructing boundary layer function, it concludes N-order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved.

通过引进适当的伸长变量，构造边界层函数，得到了解的N阶近似值，并利用微分不等式理论证明了解的渐近展开式的一致有效性。

The error analysis of asymptotic approximation of finite series expansion is also given. Our method avoids choosing the integral length of the reentrant comer, and can be used to calculate the charge on the conductor conveniently and efficiently. Numerical examples are presented to demonstrate the efficiency of the method.

本文算法克服了邓肯矫正需要选择角点积分区域的不足，有效地校正了导体角点奇异性引起的电容参数提取的计算误差，最后给出了算法的数值实验与分析结果。

In this paper , for a co-dimension two-bifurcation system that is on a three-dimensional central manifold and subjected to a parametric excitation by a white noise , the asymptotic expansion of the maximal Lyapunov exponent is evaluated.

为了分析白噪声参数激励对三维中心流形上一类余维2分岔系统的影响，本文基于一维扩散过程的奇异点理论，通过使用 L。

An asymptotic expansion of the errors with O(h3) is shown. Therefore , by using extrapolation we can improve the accuracy order of approximations.

该方法的优点在于奇点处权函数的选择，并且证明了误差有h3幂渐进展式，从而可以利用外推达到加速收敛的目的，更好地提高了计算精度。

If we can get, a multiparameter asymptotic expansion of double-quadratic isoparametric finite element errors on coarse grid with respect to independent grid setps , we can get several splitting extrapolation formulas.

只要我们对粗网格上的双二次等参有限元的误差可以证明对独立步长有多变量渐近展开式，我们就能得到分裂外推公式。

This paper, considers conservative equation with periodic boundary value problem, and construct a difference scheme, Uses the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, proves that the scheme converges uniformly to the solution of differential equation with order one.

研究守恒型奇振动方程的周期边界问题，构造一个差分格式，利用分解解的奇性项的方法，结合问题的渐近展开，证明所构造的差分格式为一阶一致收敛。

The homogenization method uses the asymptotic expansion of small parameters, and the effective properties of composite materials are extremum, which are different from the real properties of composite materials.

事实上，多孔材料物性参数测试结果与均匀化计算结果均存在一定差异，这种差异就是材料的尺度效应。

By adopting the asymptotic expansion method, the higher order partial differential equation was transformed into the system of ordinary differential equations.

采用渐近展开法，将该控制方程——高阶偏微分方程转化为常微分方程组，求解该方程组获得应力函数，进而得到功能梯度材料中裂纹尖端应力高阶渐近场的解析式。

The finite element method was combined with homogenization theory based on asymptotic expansion for predicting effective properties of crystal polymer nanocomposites, double nanoscopic level homogenizations and one microscopic homogenization were used.

利用数学上的渐近均匀化理论，结合有限元方法，经二次纳观层次的均匀化和一次细观层次的均匀化，预测了聚合物基纳米复合材料的有效性能。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。