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收敛区域

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First, we consider an iterative algorithm of Jacobi type and the corresponding domain decomposition algorithm for a approximate quasivariational inequality system of the Hamilton- Jacobi- Bellman equation and the corresponding convergence problem.

本文研究了逼近Hamilton-Jacobi-Bellman方程的拟变分不等式组的离散问题的Jacobi型迭代算法和Jacobi型区域分解法及其收敛性问题。

The domain decomposition method of Jacobi type for the quasivariational inequality system is proposed and the corresponding monotone convergence theory is established.

然后提出了上述拟变分不等式组的Jacobi型区域分解法,并建立相应的收敛性理论。

The numerical techniques developed here, including the high accuracy method of using expansions in orthogonal functions in normal direction and the effective algebraic mapping to deal with the problem of infinite region, can raise the calculation precision and the convergence velocity greatly.

文中所发展的方法,如,在法向上采用高精度的高阶谱方法和对无限区域数值问题的更为有效的代数变换处理等,提高了计算精度和收敛速度;同时,通过预估校正迭代法,使抛物化稳定性方程中重要的正规化条件得到满足,保证了数值计算的稳定。

Numerical experiments were performed to demonstrate the efficiency and efficacy of the proposed methods, for both smooth and piecewise smooth domains with exact and noisy data.

文中给出了数值算例说明了基本解方法和边界节点法求解椭圆型偏微分方程反问题的有效性,分析了基本解方法的收敛性,考察了光滑和分片光滑的几何区域以及数据精确和含有噪音两种情形。

A filtered transformation and a stochastic control Lyapunov design method are applied to Marino-Tomei systems driven by Wiener noises of unknown covariance. A parameter adaptive law and a control law are obtained to ensure that the closed-up systems are noise-to-state stable and the tracking error can converge to a small residual set around the origin in the sense of mean quartic value in average.

通过滤波变换,采用随机控制Lyapunov设计方法,对于受方差未知的Wiener噪声干扰的Marino-Tomei非线性系统,给出了参数自适应律和控制律,使得闭环系统成为噪声--状态稳定的,并且跟踪误差的4次均方值在时间平均意义下收敛到一个足够小的区域内。

We also give a theoretical result for the stream function form of the Navier-Stokes equation in unbounded domains.

我们还建立了流函数形式的Navier一Stokes方程在无穷带状区域中的一类始边值问题的谱格式,证明了该格式的稳定性和收敛性。

The circum-Pacifictectonic system is the subduction zone of oceanic crust. The reverse faults illuminate the compressive stress state.

环太平洋构造系是大洋地壳的收敛地区,逆冲为主的地震破裂显示了该区域以挤压为主的应力状态。

Research results indicate that continuous Regional Identification Function is used in nodal virtual flux method, volumn integral and surface integral enhances the convergence and stabilization;using 'put a big number' to deal with the first boundary is faster than 'Remove row and column', the more the first boundary nodes are the more obvious advantage will display;PCG method is quite faster than Crout method to solve equations;it is reliable to use three-dimensional finite element simulation theories to simulate and predict deep foundation pit dewatering in such areas.

研究结果表明,在结点虚流量法及计算体积分和面积分时引入连续的区域识别函数增强了解的收敛性和稳定性;处理已知水头边界的&置大数&法在时间上要比&去行去列&法短一些,定水头边界节点越多,其优越性表现越明显;PCG法比直接解法快很多;三维有限元数值模拟理论用于模拟预测此类地区的深基坑降水具有较高的可信度。

Several models of cylindricity error evaluation,such as MZC,LSC,MCC and MIC,were given,a constriction factor model of the Particle Swarm Optimization was introduced.

建立了圆柱度误差评价的最小区域法、最小二乘法、最小外接圆柱法和最大内接圆柱法的数学模型,将一种含收敛因子的粒子群优化算法应用于圆柱度误差的目标函数的优化问题。

In order to overcome the problems of traditional snake associated with poor convergence to boundary concavities and sensitive initialization,gradient vector flow based on deformable models is presented to segment tumor region.

为了克服传统的蛇形算法不能收敛于边缘凹陷处以及对蛇的初始化过于敏感的缺点,本文提出用基于可变形模型的梯度矢量流方法提取乳腺X光片中的肿瘤区域。

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