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It is concluded from patch test that the order of interpolation function for pressure must be higher than that of displacement of solid phase.

通过考察系统方程,由分片试验得知压力插值函数的阶必须低于固体相位移插值函数的阶,进而提出了一种系统方程的迭代求解方法。

Then a suitable statement of patch test for axisymmetric solid nonconforming element is presented.

导出了轴对称非协调元分片检验中检验函数的形式,其位移函数是一种不完全的线性函数。

This model adapts the prior information of piecewise continuity of image to construct a nonlinear diffusion model,which is used to smooth an enlarged image by nearest interpolation to reduce the blocky effect caused by enlargement,simultaneity,and interpolation condition is added into the iterated process to avoid a too smooth image.

新模型利用图像为分片连续的二维曲面的先验信息,采用非线性扩散方程对基于最近邻方法放大后的图像进行光滑以消除因放大引起的"块状"效应,同时在迭代过程中加入插值条件使处理后的图像能较好的保留边缘,由此构造出基于偏微分方程的图像分辨率增强模型和相应的迭代算法,使图像的分辨率增强到亚像元级。

Finite element methods are analyzed, where the stress is approximated by the discontinuous Raviart-Thomas element of lowestorder,and the velocity by the piecewise constant element,and the Lagranian multiplier by the trace space of the piecewise continuous linear element.

然后发展其有限元方法:对应四变量分别用间断型Raviart-Thomas最低阶元,分片常数元,连续线性元和连续线性元的迹空间,我们获得了稳定性和最优误差界,通过后处理办法,我们得到一个适合于计算的速度-压力格式,该格式可视为"mini"元方法的一个变形(本文格式中引用了局部投影算子)。

Hole repairing in triangular mesh models and piecewise smooth B-Spline surfaces fitting have been studied in this dissertation.

本文对三角网格模型上的孔洞修补及分片光滑B样条曲面的拟合技术进行了研究。

This uniform resample of data points in rectangular region and fitting of piecewise smooth B-Spline surfaces are explored.

研究了矩形区域内数据点的重新均匀采样以及光滑分片B样条曲面的拟合问题。

To separate oscillating parts such as texture and noise from piecewise smooth parts, a new variational image decomposition model is presented.

为了将图像分解为分片光滑的结构部分和振荡部分,提出一种新的变分图像分解模型。

Third,a heterogeneous domain decomposition method is devised to solve aclass of special piecewise smooth systems.

第三,对一类特殊的分片光滑抛物系统提出一种非均匀区域分解直接算法。

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。

Firstly, this paper assumes that the surface of range image is piecewise smooth, and estimates curvature from the smooth piece of surface to which the current point belongs.

首先,提出曲面是分片光滑的假设,表面曲率需从该像素所属的光滑曲面片来估计。

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