Gauss-无网格Galerkin法解偏微分方程  

Gauss-free Galerkin Method for Solving Partial Differential Equations

作　　者：邓彩霞[1] 彭磊[1] 孟虹宇[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2013年第6期114-116,共3页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅科学技术研究项目(1255201102)

摘　　要：在无网格Galerkin方法中,权函数的选取很重要,借助Gauss函数,使用截断Gauss函数作为权函数,并结合最小二乘逼近法,去解一维带控制的偏微分方程.数值算例表明该方法是可行的,且计算精确度有了明显的提高.In free cle uses the truncated solve one-dimensional Galerkin methods, the weight function is very important. Through Gauss function, this arti- Gauss function as the weight function, combining with least square approximation method to partial differential equations. The results show that the method is feasible and the calculation accuracy has been significantly improved.

关 键 词：Gauss函数 无网格 GALERKIN法 最小二乘法 

分 类 号：O174[理学—数学]