一维无网格局部Petrov-Galerkin法  

One-dimensional Meshless Local Petrov-Galerkin Method

作　　者：张鹏花[1] 周德亮[1] 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《科技信息》2011年第35期475-476,共2页Science & Technology Information

摘　　要：本文基于移动最小二乘形函数和加权残量法[1],构造了无网格局部Petrov-Galerkin[2]法。论述了权函数的选择,并列出几种常用的权函数。通过对算例中近似解与解析解的比较,表明该方法实施过程简单,又有较高的精度。This paper based on the moving least square function and the weighted residual method, constructs a meshless local Petrov-Galerkin method. It discusses the choice of weighting functions , and lists several common weight functions. Through contrasted approximate solution and analytical solution of the example show that the method is simple to implement, and a relatively high accuracy.

关 键 词：移动最小二乘形函数 加权残量法 局部Petrov-Galerkin法 支持域 

分 类 号：O241.82[理学—计算数学]