DOMAIN DECOMPOSITION WITH NON-MATCHING GRIDS FOR COUPLING OF FEM AND NATURAL BEM

In this paper, we introduce a domain decomposition method with non-matching grids for solving Dirichlet exterior boundary problems by coupling of finite element method （FEM） and natural boundary element method（BEM）. We first derive the optimal energy error estimate of the nonconforming approximation generated by this method. Then we apply a Dirichlet-Neumann（D-N） alternating algorithm to solve the coupled discrete system. It will be shown that such iterative method possesses the optimal convergence. The numerical experiments testify our theoretical results.     

ACCURACY ANALYSIS FOR QUASI-CAREY ELEMENT*

In this paper, a new triangular element （Quasi-Carey element） is constructed by the idea of Specht element. It is shown that this Quasi-Carey element possesses a very special property, i.e., the consistency error is of order O（h^2）, one order higher than its interpolation error when the exact solution belongs to H^3（Ω）. However, the interpolation error and consistency error of Carey element are of order O（h）. It seems that the above special property has never been seen for other triangular elements for the second order problems.     

The Further Development and Application of Grey Forecasting Model

1　 IntroductionChen[2 ] has done the transformation for original sequence { x(0 ) ( k) } by logarithmic func-tion,and then raised the smooth degree of discrete data,and hence expanded the appliedrange of grey forecasting models.Chen[2 ] compared the mean error in two cases for fore-casting output of TV′s in whole country,it is2 6 3.16 % before transformation,and it is2 3.6 % after transformation.The key raising the accuracy of grey forecasting is strengthening smooth grade of o-riginal sequ…     

Error reduction, convergence and optimality of an adaptive mixed finite element method

This paper proves the error reduction property(saturation property),convergence and optimality of an adaptive mixed finite element method(AMFEM) for the Poisson equation.In each step of AMFEM,the local refinement is performed basing on simple either edge-oriented residuals or edge-oriented data oscillations,depending only on the marking strategy,under some restriction of refinement.The main tools used here are the strict discrete local efficiency property given by Carstensen and Hoppe(2006) and the quasi-orthogonality estimate proved by Chen,Hoist,and Xu (2009).Numerical experiments fully confirm the theoretical analysis.     

Doppler Beam Sharpening for Arc Turning Flying

The signal processing and error analysis of arc turning flying for Doppler beam sharping (DBS) are described in the paper. As a sort of synthetic aperture radar, DBS is different from strip or spotlight mapping. The analytical expressions of DBS processing for both the inside arc turning and outside arc turning flying are given. The computer simulation of arc turning flying with an acceleration of 3g was performed on an IBM-PC. The results showed that the error of arc turning flying of DBS can be made negligibly small.     

Finite element approximation for a class of parameter estimation problems

This paper investigates the finite element approximation of a class of parameter estimation problems which is the form of performance as the optimal control problems governed by bilinear parabolic equations,where the state and co-state are discretized by piecewise linear functions and control is approximated by piecewise constant functions.The authors derive some a priori error estimates for both the control and state approximations.Finally,the numerical experiments verify the theoretical results.     

Study on the Robot Robust Adaptive Control Based on Neural Networks

Force control based on neural networks is presented. Under the framework of hybrid control, an RBF neural network is used to compensate for all the uncertainties from robot dynamics and unknown environment first. The technique will improve the adaptability to environment stiffness when the end-effector is in contact with the environment, and does not require any a priori knowledge on the upper bound of syste uncertainties. Moreover, it need not compute the inverse of inertia matrix. Learning algorithms for neural networks to minimize the force error directly are designed. Simulation results have shown a better force/position tracking when neural network is used.     

Synchronization of chaos using radial basis functions neural networks

The Radial Basis Functions Neural Network （RBFNN） is used to establish the model of a response system through the input and output data of the system. The synchronization between a drive system and the response system can be implemented by employing the RBFNN model and state feedback control. In this case, the exact mathematical model, which is the precondition for the conventional method, is unnecessary for implementing synchronization. The effect of the model error is investigated and a corresponding theorem is developed. The effect of the parameter perturbations and the measurement noise is investigated through simulations. The simulation results under different conditions show the effectiveness of the method.     

Variational discretization for optimal control problems governed by parabolic equations

This paper considers the variational discretization for the constrained optimal control problem governed by linear parabolic equations. The state and co-state are approximated by Raviart- Thomas mixed finite element spaces, and the authors do not discretize the space of admissible control but implicitly utilize the relation between co-state and control for the discretization of the control. A priori error estimates are derived for the state, the co-state, and the control. Some numerical examples are presented to confirm thetheoretical investigations.     

薄板坯连铸凝固应力分析的有限元算法的研究

研究了薄板坯凝固过程坯壳中的二维热弹塑性蠕变应力模型有限元求解实现的方法。讨论了采用三角形单元的模型有限元求解理论，铸坯凝固前和凝固后使总刚度矩阵非零元素的半带宽最小的节点与单元自动剖分和编号的原则、顺序及方法，探讨了采用变带宽压缩存储技术实现半带宽内元素存储的方法，以及应用直接三角分解法求解平衡线性方程组的方法；给出了用初荷载法将铸坯热应力和高温蠕变应力问题转换为单元节点等效荷载的结果。该模型已成功应用于薄板坯、方坯等连续凝固过程的应力分析中。     

分流组合模挤压过程的有限元分步模拟

基于刚粘塑性有限元法,在模拟过程中采用分步模拟的方法,对有限元网格进行分步重划分和步长的分步设置,并提出了解决体积损失问题的补偿方法,在Deform-3D有限元软件上实现了薄壁复杂截面铝型材的分流组合模挤压成形过程的三维数值模拟。分析了铝合金口琴管挤压过程中的金属的流动和变形行为,获得了速度场、温度场、应力场和应变场的分布图,数值模拟结果与理论分析结果吻合较好。结果表明:采用有限元分步模拟可以在保证模拟精度的前提下大幅缩短模拟运算时间,是模拟薄壁复杂截面铝合金空心型材挤压成形过程的有效方法。     

旋转捷联惯导系统精对准技术

针对惯性器件常值偏差对捷联惯导系统导航精度的影响,提出了一种单轴旋转调制方案并建立该系统误差方程,将系统中陀螺常值漂移和加速度计零位误差调制成周期变化的量。通过改变惯导系统误差模型中的捷联矩阵来改善系统的可观测性。利用谱条件数法计算出惯性测量单元(inertial measurement unit, IMU)在静止和旋转状态下捷联系统的可观测度,采用卡尔曼滤波方法实现了旋转捷联系统的精对准。仿真结果表明,IMU旋转状态下的对准方法消除了陀螺常值漂移和加速度计零偏对系统对准精度的影响,大大提高了对准精度。     

壳体对云爆弹药燃料抛撒影响的仿真分析

建立了带壳体云爆弹药抛撒燃料过程的动力学仿真模型，分析了圆柱壳体的断裂准则。壳体材料采用Steinberg—Guinan本构方程，断裂准则采用Taylor断裂应力准则。应用Autodyn软件对内部爆炸载荷下不同壳体材料的液体燃料的抛撒进行了仿真，得到了最大压力值和最大速度值以及速度曲线，并对结果进行了分析。得出结论：提出的带壳体云爆弹药燃料抛撒的仿真模型和方法是可行的；壳体降低燃料的抛撒速度；合理选择内外壳体材料有利于提高燃料的抛撒速度。     

城市物流战略规划环境分析方法及其应用

运用外部因素和内部因素分析矩阵，确定城市物流发展的内外部环境关键要素；采用层次分析法和Delphi法相结合的综合赋权方法计算各要素评分值及内外部环境因素总加权评分值，构建SWOT分析矩阵；最后用实例说明这种方法在城市物流战略规划制定中的应用。     

箔条质心干扰对抗反舰导弹的决策仿真

通过分析质心干扰工作原理,给出了反舰导弹跟踪模型、舰船规避模型,箔条云运动模型及质心运动模型,并建立了基于三个约束条件的箔条质心干扰效果模型.最后利用Matlab对这个复杂的动态干扰过程进行仿真,并在此基础上分析了箔条质心干扰的效果与导弹威胁方向、干扰弹发射舷角、舰艇规避机动方向、作战海域的风速风向等要素之间的关系.     

幅度相位误差条件下的互质阵列DOA估计方法

针对基于互质阵列的欠定波达方向(direction of arrival, DOA)估计方法在阵元幅相误差条件下性能急剧下降的问题, 提出一种基于校正阵元的互质阵列DOA估计方法。首先, 将阵列接收数据分解为两个子阵数据, 基于校正阵元对子阵分别进行幅相误差估计, 并将子阵幅相误差排序重组。然后, 对接收数据协方差矩阵进行误差补偿并扩展为高维的Toeplitz矩阵。最后, 基于矩阵填充理论对高维协方差矩阵进行空洞填充, 结合求根多重信号分类(root multiple signal classification, root-MUSIC)算法进行DOA估计。理论分析和仿真结果表明, 该方法可以实现互质阵列的幅相误差估计, 并通过误差补偿有效恢复幅相误差条件下的互质阵列DOA估计性能, 提高估计精度。     

全相位相位差测量中的系统误差及其校正

分析了负频率分量对全相位离散傅里叶变换（all-phase discrete Fourier transform, apDFT）测量相位差的性能的影响,提出了迭代延时-补偿法来抑制负频率分量带来的系统误差,讨论了加窗对迭代延时-补偿法系统误差抑制性能的影响。当采用apDFT算法测量相位差时,负频率分量引起度量级的系统误差。迭代延时-补偿法与apDFT算法的结合,能够在离散傅里叶变换（discrete Fourier transform, DFT）运算点数为1 024时,将最大系统误差在全频段范围内降至0.01°量级,且DFT运算点数越大,抑制效果越好。对原始数据加余弦窗,能够进一步改善迭代延时-补偿法的系统误差抑制性能及容差性。     

Feature point matching of curved surface and robust uncertainty

1 .INTRODUCTIONStereovisionis well used in wide aspects of robotvision, object recognition[1 ~7], VR[8]and recon-struction[9]and so on. Stereo matching is a hardapproachin stereovision especially for curved sur-face due to occlusions and noises . There were al-ready some related methods[1 ~3]such as matchingunder robust esti mation of epipolar geometryrecovery[1]or selecting salient points fromi magepair[2]. Muchi mportance has been attached to theuncertainty of the corner position and i…     

基于无奇异变换的双行轨道根数生成算法

在双行轨道根数（two line elements, TLE）和简化普适摄动轨道预报模型的基础上,针对空间目标TLE采样拟合过程中可能出现奇点的问题,提出基于无奇异变换的空间目标TLE生成算法。引入无奇异轨道根数代替开普勒根数形成改进的TLE参数,推导了目标位置矢量对改进TLE参数的偏导数矩阵,并采用选主列Givens QR分解算法进行观测方程迭代求解,以提高数值计算稳定性。仿真结果表明,该生成算法拟合精度和位置预报残差满足要求,可应用于低轨目标的空间监视。