求解过程

An arch dam has been used as the example to describe the crack position and cracking process.

自适应有限元是一种通过自分析自动调整算法以改进求解过程的数值方法。

To avoid or reduce re-analysis, we derived the augmentative matrix variation only in summation of the previous matrices time the outside-perturbed parameters by decomposing the element stiffness and mass matrix. The implicit function of amplitude about design variables such as cross-areas and lengths is changed into simplistic function about the perturbed parameters of design variables. Several methods for determining the value of perturbed parameters are detailed.

为避免或减少重分析，将有限元单元阵进行了分解变换组装，使振幅与设计变量如截面面积、长度的复杂隐函数关系转化为对设计变量摄动参数的显式关系，进而将设计变量摄动参数提取在分解后的几个常数刚度阵、质量阵之外，避免了在迭代求解过程中重组刚度阵与质量阵，较快地获得问题的解。

Moreover object convergence approach also may with cutting plane method, branch and Bound Method and so on the method unify the use, thus acceleration solution process.

而且目标收敛法还可与割平面法、分枝估界等方法结合起来使用，从而加速求解过程。

The design process of the passive optical athermalisation was elaborated by an example. The result was analyzed with an optical design software. It shows that the design result meets the requirement of eliminating the thermal difference and chromatism at the temperature range of -40℃～+60℃.

最后用实例说明光学被动式无热化设计的求解过程，并通过光学设计软件对结果进行分析，说明该设计结果在-40℃～+60℃温度范围内均满足消热差和像差要求。

The coefficients for eliminating the thermal difference and chromatism of common infrared materials were described by Cartesian coordinates.

最后用实例说明光学被动式无热化设计的求解过程，并通过光学设计软件对结果进行分析，说明该设计结果在-40℃～+60℃温度范围内均满足消热差和像差要求。

In order to realizing collaborative design, we put forward a collaborative algorithms based compound penalty function, which get rid of the drawbacks of CO .

为了解决在并行求解过程中存在的公共设计变量不一致问题，提出了一种基于罚函数的协调方法。

Computational results show that the procedure is reasonable and effective.

模拟算例的运行结果表明所设计的求解过程是非常合理和有效的。

Method\ Percolation of multiple-hole horizontal well is exchanged to radial percolation by applying conformal transformation theory and local percolation restriction .

应用保角变换原理和局部渗流阻力的概念，将多分枝水平井渗流问题转变为平面径向渗流问题，从而简化了求解过程。

Meanwhile, the problem of data consistency existing in both methods is analyzed.

讨论了这两种方法的求解过程中都存在的数据一致性的问题。

By establishing MINLP model, the computation of phase equilibrium is transformed into a constrained two-level minimization problem. On the inner level, equilibrium composition is computed; On the outer level, the optimum phase combination configuration is searched for. The whole solving process is achieved by Genetic Algorithm.

通过建立MINLP模型，将相平衡计算问题转化为有约束的双层最优化问题，内层用来计算给定相组合结构下的平衡组成，外层则是搜索最优的相组合结构，整个求解过程通过遗传算法来实现。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。