稳态热传导问题的局部Petrov-Galerkin法

局部Petrov-Galerkin法是一种真正的无网格法。这种方法采用移动最小二乘近似函数作为试函数,并且采用移动最小二乘近似函数的权函数作为加权残值法的加权函数;同时这种方法只包含中心在所考虑点处的规则局部区域上以及局部边界上的积分。将局部Petrov-Galerkin法用于求解稳态热传导问题,并编制了相应的计算程序进行计算;最后通过算例表明该方法是有效的。

A Local Petrov-Galerkin Method for Stable Heat Conduction Problems

Local Petrov-Galerkin method is a truly meshless method.It uses the moving least square approximation as a trial function,and uses the weighted function of the moving least square approximation as a test function of the weighted residual method.This method involves only integrations over a regular local subdomain and on a local subboundary centered at the node in question.In this paper,this method is used to solve stable heat conduction problems and the corresponding computer program is developed.The method used in this paper is proved valid and efficient.