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1)  complex variables moving least-square approximation
复变量移动最小二乘法
1.
Compared with the traditional EFG method,the use of complex variables moving least-square approximation can decrease the number of the undetermined coefficients,so it results in the decrease of computation cost and improve the computation coefficient.
为提高无单元Galerkin(Element-Free Galerkin,EFG)方法的计算效率,将复变量移动最小二乘法与EFG方法结合,利用控制方程的积分弱形式并采用Lagrange乘子法引入边界条件,提出势问题的复变量无单元Galerkin(Complex Variable EFG,CVEFG)方法,并推导相关公式。
2)  moving least squares
移动最小二乘法
1.
In this article the traditional fitting method on automobile rearview mirror was introduced and a new method based on moving least squares which focuses on the high smoothness of rearview mirror was established.
介绍了汽车后视镜理论建模的传统拟合方法,针对后视镜曲面光滑度高的特点提出了采用基于移动最小二乘法(Moving Least-Squares,MLS)的曲面拟合技术拟合后视镜、实现理论建模的新方法,给出了使用移动最小二乘法进行曲面拟合的程序设计流程。
2.
In EFGM, in order to get a numerical solution for a partial diferential equation, the shape function is constructed by moving least squares (MLS), the control equation is derived from the weak form of variational equation and essential boundary conditions are imposed by penalty function method.
它采用移动最小二乘法构造形函数,从能量泛函的弱变分形式中得到控制方程,并用罚函数法施加本质边界条件,从而得到偏微分方程的数值解。
3.
In EFGM, the shape function is constructed by moving least squares(MLS) to get .
无网格伽辽金法是最近几年发展起来的与有限元相似的一种数值方法,它采用移动最小二乘法构造形函数,从能量变分的弱形式得到控制方程,进而得到偏微分方程的数值解。
3)  Moving least square
移动最小二乘法
1.
Based on the moving least squares method,an effective meshless method was developed for the free vibration problems of elastic body.
介绍了无网格法采用移动最小二乘法构造形函数,引入罚参数满足边界条件,对弹性体的自由振动问题进行了分析。
2.
The second one uses moving least square(MLS) projection and fits a series of polynomial patch to the point set surface.
第一种方法利用voronoi元和有限元,将曲率公式离散,再进行计算;第二种方法利用移动最小二乘法(ML S) ,构造局部参数曲面来逼近原始曲面,以局部参数曲面的曲率来近似点集模型的曲率。
4)  moving least-square approximation
移动最小二乘法
1.
The moving least-square approximation with complex variables (MLSCV) is developed on the basis of moving least-square approximation.
在移动最小二乘法的基础上,提出了复变量移动最小二乘法
5)  moving least square method
最小移动二乘法
6)  Moving least square method
移动最小二乘法
1.
The EFGM is based on moving least square method(MLSM).
无网格伽辽金法基于移动最小二乘法的基础上,建立全计算域的高阶连续可导的插值函数,并只利用节点信息来建立离散模型的平衡方程。
2.
It creates the approximation function with moving least square method,deals with the boundary problem about displacement by applying punnishing function,sets up the discrete equation based on variational principle.
用移动最小二乘法(MLS)构造插值函数,罚函数法处理位移边界条件,根据变分原理导出整体离散方程,最后用算例验证本文方法是可行的。
3.
Based on the moving least square method,a new method for calculating nodal values is proposed.
有限元可视化后处理必须要计算节点数值,提出了利用移动最小二乘法计算节点数值的一种新方法,给出一个悬臂梁的数值算例,并将数值计算结果同解析解进行对比。
补充资料:一乘法门
【一乘法门】
 (术语)一乘之法为入佛地之门户。故曰法门。即法华经之所说。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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