迭代过程

The author studies systemically the plasticity mechanics and researches the bounding surface plasticity constitutive model of soil in details.

采用自适应多步积分、局部迭代和射线回退相结合的积分方法，给出了边界面塑性本构关系数值实现过程。

An self-adaptive multistep integration procedure in conjunction with local iteration and radial return is employed in numerical implementation of the bounding surface model .

详细分析边界面模型，采用自适应多步积分、局部迭代和射线回退相结合的积分方法，给出边界面本构关系的数值实现过程。

Based on the analysis of the features of virtual design, such as the combinations of quantitative design and qualitative design, parallel and serial design, green manufacturing-oriented design, the closed loop architecture of virtual design system, including the iterative steps of converse engineering and digital modeling, physical prototyping, physical testing, is proposed.

本文在分析机械产品虚拟设计定性与定量相结合、串行与并行相结合、面向绿色制造的设计等主要特征的基础上，构造了一个包含反求工程与数字化建模、物理原型、物理测试等环节在内的机械产品虚拟设计可迭代框架，并以鼠标外模的虚拟设计过程为例对这一框架进行了详细说明。

Then gives out an optimised convergent algorithm and describes the system robustness by a closed curve on frequency domain, in which all possibte frequency responses.

提出一种计算过程可以迭代循环的最优收敛算法，并在频域复平面上给出描述系统鲁棒性的包络曲线，所有可能的、随系统不确定性而变化的频率响应都落在该曲线所包围的闭域内。

By using the meshless method, a numerical ocean engineering basin was established to simulate irregular waves propagated in shallow water. Locating the source points outside the computational domain, the problem of water wave propagation was solved by collocation of only a few boundary points instead of meshes.

采用基于配点和径向基函数的无网格数值模拟方法，建立数值海洋工程水池，将源点布置在模拟波浪场之外，沿边界布置配点而不是划分网格；对深水不规则波经斜坡过渡后在均匀水深浅水域中传播的过程进行无网格数值模拟和波谱的迭代修正。

Because of the problem of convergence, the key techniques to complete the one step simulation were explored thoroughly. The geometry mapping method based on finite element model and inverse deformation was developed to get the approximate initial blank for one step simulation. The effective selection of convergence factor in Newton-Raphson method was studied. The divergence criterion in iterative process for one step simulation was put forward. Also the countermeasure to ill equations coefficient matrix was studied.

由于存在收敛性的问题，本文重点研究了一步模拟方法计算机实现的关键技术：提出了基于有限元模型的几何映射方法和反向变形方法来确定初始毛坯的近似解，研究了带收敛因子的Newton-Raphson方法中如何高效地选取收敛因子，提出了一步模拟迭代求解过程中的发散准则，并研究了病态方程组系数矩阵的修正方法。

Erich Gamma : The Cook's tour is kind of synthetic.

Erich Gamma：整个过程从某种意义上来说是一种合成迭代。

The phrase of primary design of cruise missile is a iterative process.

巡航导弹的初步设计阶段是一个反复迭代优化的过程。

Reduce the computing complexity of magnetic field integral equation with differential quotient, which makes the computing which combined field integral equation more efficiently.

在AIM算法的实现技术方面作了两个改进：一是采用了新的多极子展开方案，保证了迭代的数值稳定性；二是在差商逼近偏导数的过程中全部采用二阶形式，保证了差商逼近偏导数的精度。

Because of the high-non-linearity, the adiabatic lateral wall condition and high aspect ratio , the numerical simulation process possesses a series of features. A number of computations and numerical tests have been conducted to find effective convergence conditions.

由于所计算问题的高度非线性，以及侧壁绝热、大的长径比等特点，使数值模拟的迭代收敛过程出现一系列特点。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。