For the boundary value problem of it, the thin variation of energy functional, which is equivalent to it, is obtained, and the computing formulas based on Meshless Method are educed. 首先从热应力边值问题出发,给出了与其等价的能量泛函的弱变分形式,并导出了无单元方法的计算公式。
A weighted total variation algorithm was proposed for solving some blind deconvolution problems, and then we got the existence of energy functional minimum and educed corresponding thermal flow. 为了进一步观察此算法的实效性,与全变差盲去卷积模型的实验结果进行了比较。
Fractures are analysed with the variational problem of energy functional and the boundary variational theorem of an arbitrary element for nonlinear solids is established, i.e.the equilibrium condition on the dynamics for the crack extension. 用能量泛函变分理论分析了断裂问题,建立了非线性固体任意元素的边界变分定理,即裂纹扩展时,处于动力平衡状态的条件。
The proposed approach is robust to local minima of the energy functional because it is minimized by dynamic programming method in the whole energy space. 由于采用了动态规划法并在整个能量空间中搜索能量泛函的极值,算法对能量泛函的局部极值有较强的鲁棒性。
A unified energy functional for image restoration is firstly constructed, based on robust statistics and bilateral filtering, from which a unified framework for the digital filter designing is derived, and hence the relationship between nonlinear digital filters and optimization energy functionals is provided concisely. 基于稳健统计理论和双边滤波思想,首先提出稳健的图像复原统一框架,并由此导出一种数字滤波器的统一设计框架,简洁地建立了非线性数字滤波器与最优能量泛函框架之间的理论联系。
The trial functions of the Ritz procedure with parametric surface characteristics are constructed for the total energy functional and governing equations thereafter. 在此基础上,构造分片上的具有参数曲面特征的Ritz法的试解函数,并写出相应的泛函和控制方程。
The authors give a detailed proof of Gamma convergence result of the generalization energy functional, and Euler-Lagrange equation for optimizing the new energy functional is also proved. 从理论上证明了新能量泛函的Gamma收敛性,推导了最优化能量泛函所满足的欧拉-拉格朗日方程。
That the extended Bernoullian equations can be derived from the Lagrangian function under the condition of the flow being steady, demonstrates that the energy functional presented in this paper is valid. 在恒定流的条件下,利用拉格朗日函数导出了推广的伯努利方程,从而说明了寻找的能量泛函的正确性。
A three kinds variables potential energy functional, which is equal to the functional of minimum potential energy principle, is proposed. Its stress-strain relationships are constraint condition in the process of variation. 本文给出了与最小势能原理的泛函等价的三类变量的能量泛函(πp)3,其中应力应变关系是变分过程中的约束条件。
In general, the energy functional of variational inequalities problem is obtained by use of Lagrange multipliers method. But the Lagrange multipliers method must be proved by nonlinear functional analysis and convex analysis and the process is complicated. 为了得到摩擦约束弹性接触问题的能量泛函,日前大多是用拉格朗日乘子法,但拉格朗日方法用在变分不等问题中,要利用非线性泛函分析和凸分析来证明,证明复杂。
Because of this model being non-elliptic a, its energy functional form can not be salved directly. 因为该模型是非椭圆型的,不能直接得到其能量泛函数。
The innovation of the work of this paper can be listed as follows: 1. Based on the MDL principle, a new energy functional is proposed. 本论文工作的创新点主要在以下方面:1.基于MDL准则,提出了一种新的能量泛函。
This paper studies the construction of complementary energy functional for general elastic contact problems and its solving. 本文研究了一般弹性接触问题有限元余能泛函的构造及其求解问题。
Theses two terms lead to a symmetrical energy functional. 这两项导致一对称的能量泛函。
Characteristic equation of a rectangular plate is derived based on its potential energy functional. 基于矩形板的势能泛函导出其特征方程。
The general expression for the instantaneous potential energy functional of elastic system is given at first, and then the special for the arbitrarily curved and twisted pipe conveying fluid is obtained. 给出了弹性系统瞬时势能泛函的一般表达式,得到了其关于任意挠曲输液管道的具体表达式。
The free energy functional for the time dependent Ginzburg-Landau equation were obtained by means of Flory-Huggins free energy. 从Flory-Huggins自由能出发,得到了适合TDGL模拟的自由能泛函。
The operation properties of the Segmental Linear Functions are used to directly solve the minimum value of energy functional of lateral vibration of straight beam of elasticity. A new numerical method for calculating the natural frequencies and mode shapes of the beams is obtained. 利用分段线性函数的运算性质直接求解弹性直梁横向自由振动的能量泛函极值,得到了计算弹性直梁固有频率和振型函数的一种新的数值方法。
Therefore, the major target of density functional theory is to look for reasonable exchange-correlation energy functional. 因此,密度泛函理论发展的主线,就是寻找合适的交换相关能量泛函。
Then we introduce Kohn-Sham equation and the exchange-correlation energy functional. 然后介绍了Kohn-Sham方程以及交换相关能量泛函。
The proposed energy functional can make use of advantages of the region information and the edge information. The region number, region feature parameters and edge position can be estimated simultaneously when this functional is minimized. 2. 所提出的能量泛函,综合地使用了抗噪性能强的区域信息和定位精度高的边界信息,可以同时估计出区域的数目,各区域的特性参数以及边界位置。
The sequences generated by the new algorithm are proved to converge to a new solution if the three conditions that the peak selection p is continuous, the separable condition and the energy functional is bounded below are all satisfied. 证明了新算法产生的点列在满足峰选择p连续、可分离条件以及能量泛函下方有界三个条件之下一定能收敛到新解。
We have added the square of gradient magnitude to energy functional of classical C-V model, and get the improved C-V model. 在经典C-V模型的能量函数中加入梯度模值平方项,得到了改进的C-V模型。
Through a series of deduction and transformation, the energy functional expression on the variation problem of the arbitrary shape linear current sources abnormal potential can be obtained which is the foundation of the finite element numerical calculation. 求得了任意线源异常电位变分问题的能量泛函表达式,为本文奠定了有限单元法的数值计算基础。
Moreover, Bregman iteration speeds up the convergence rate of energy functional and enhances restoration quality. 而且Bregman迭代的引入使得在保证图像质量的同时加快了能量泛函的收敛速度。
In mathematical imaging and visual of computer, multi-scale geometric analysis and minimization energy functional are the most representative two paradigms at current. It has attracted attention of researchers widely. 多尺度几何分析和极小化能量泛函方法是当前数学图像处理和计算机视觉等领域最具代表性的两种研究范式,这方面的研究已引起广大学者的普遍关注。
Meanwhile, in order to ensure accurate calculation of the level set method, the energy functional uses distance regularization term to eliminate the re-initialization of the level set evolution process. 同时,为了保证水平集方法中的精确计算,能量泛函中通过添加距离正则项来消除水平集函数的重新初始化过程。
Using this method, we can define energy functional with data item and smoothness item. Through variational methods, the Euler-Lagrange equation of optic flow computation is obtained and through differential method discrete solutions can be gotten. 使用该方法,可根据亮度变化及视频图像中包含的运动成分等定义,由数据项和光滑项构成的能量泛函,通过变分方法获得光流计算的Euler-Lagrange方程,并通过差分方法进行离散求解。
In order to address this problem, this dissertation proposes an improved version of the RSF model by adding an energy functional of level set linear regularization into RSF model. 针对这个问题,在RSF模型中添加一个新的水平集线性正则化能量泛函,提出了一个改进的RSF模型。
Then based on energy functional variation principle, the governing differential equations considering shear lag for theory of elasticity in box girders are established. ( 3) The closed-form solutions of the governing differential equations are derived from differential equation operation principle. 依据能量泛函变分原理,建立了箱梁弹性力学求解的剪力滞控制微分方程。(3)依据微分方程的运算法则,导出了控制微分方程的闭合解。