有限的数值算例表明该方法比现有的对数光滑化算法能在更短的时间内找到高质量的解。
Limited numerical results indicate that this approach is able to produce good-quality solutions in much less time than the existing logarithmic smoothing algorithm.
然后，利用光滑化方法求解这两个问题。
将其角隅光滑化，得出双剪应力五参数准则角隅模型。
A new Twin Shear Stress Five-Parameters Criterion whose angular points are smoothed is obtained.
第三章主要用光滑化方法求解二阶锥约束变分不等式。
The third chapter mainly deals with the smooth method for second-order cone constrained variational inequality problems.
网格光滑化是有限元网格生成领域的一个重要研究分支。
Mesh Smoothing is an important research topic for generation of finite element meshes.
基于光滑化函数理论，建立了光滑化的可用传输容量(atc)新模型。
A new smooth available transfer capability (ATC) model is constructed based on smooth function transformation.
构造一个光滑化函数逼近NCP函数，利用光滑化牛顿法求解此非光滑算子方程。
A smoothing function which can be approximated by NCP-function is given and the smoothing Newton method is applied to resolve this nonsmooth operator equation.
重点研究并提出了对初始自适应尺寸场的光滑化算法，保证了基于该尺寸场生成的网格疏密过渡合理。
A smoothing algorithm of the adaptive size field is detailed to ensure the generated meshes have a proper density distribution and element shapes.
研究球形约束变分不等式求解的算法，提出一种光滑化牛顿方法，证明了该方法具有全局收敛性和超线性收敛。
In this paper we present a smoothing Newton method for solving ball constrained variational inequalities. Global and superlinear convergence theorems of the proposed method are established.
基于对该领域部分现有方法的初步了解，本文第一章简单介绍了网格生成技术、后处理技术和网格光滑化算法的现状。
Based on the investigation of some current algorithms, the first chapter introduces some basic knowledge and current status on mesh generation, post-processing methods, and mesh smoothing.
作为一个例子，植入体的金属性表面可以被处理以在表面内形成凹坑，接着可选地通过光滑化步骤减小所述带凹坑的表面的粗糙度。
As one example, a metallic surface of an implant can be treated to form pits in the surface, followed optionally by a smoothing step to reduce the roughness of the pitted surface.
带不等式约束的非线性规划，其KKT条件可以通过NCP函数转化为一个非光滑的方程组，然后用熵光滑化函数光滑化，得到一个带参数的方程组。
The KKT conditions of a nonlinear programming with linear inequality constrains can be transformed into a system of equations by NCP function. Then it is smoothed by Entropy smoothing function.
理想化的纱线是一个光滑的圆柱体，可是实际上短纤维纱表面存在着许多毛羽。
Ideally, one thinks of yarns as smooth cylindrical objects when, in fact, most spun yarns are quite "hairy".
本实用新型的气动脱模软糖模具具有生产效率高、产品平整光滑、易生产自动化等优点。
The pneumatic demoulding soft sweet mould of the utility model has the advantages of high productive efficiency, flatness, smoothness, easy production, high automation, etc.
利用光滑子对方程组进行正则化，从而得到原方程组的逼近解。
We will regularize the equations by the standard mollifier to get the approximate solutions.
利用凝聚函数一致逼近非光滑极大值函数的性质，将非线性互补问题转化为参数化光滑方程组。
By using a smooth aggregate function to approximate the non-smooth max-type function, nonlinear complementarity problem can be treated as a family of parameterized smooth equations.
因此，可以采用钢质螺旋槽管替代低压加热器中的铜光滑管，实现锅炉给水系统无铜化运行的要求。
Therefore, using steel spirally fluted tube replacing copper plain tube in HP preheater can be adopted for the boiler feedwater system without copper.
因此，可以采用钢质螺旋槽管替代高压加热器中的铜光滑管，实现锅炉给水系统无铜化运行的要求。
Therefore, the copper plain tube in HP heaters can be replaced with the steel spirally fluted tube for the requisition of having no copper in boiler feed water system.
因此，可以采用钢质螺旋槽管替代高压加热器中的铜光滑管，实现锅炉给水系统无铜化运行的要求。
Therefore, the copper plain tube in HP heaters can be replaced with the steel spirally fluted tube for the requisition of having no copper in boiler feed water system.
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