基于能量范数的EFG方法权函数影响半径的研究

Study on the Influence Radius of the Weight Function of EFG Method Based on Energy Norm

文章通过介绍了无单元伽辽金方法中构造形函数的方法——移动最小二乘法、权函数的性质和形式,分析了权函数的影响半径对于数值结果的影响,引入了参数构造出新的权函数的影响半径的确定方法,通过对比不同参数值下的误差的能量范数,得出最优的参数值,从而确定权函数的影响半径的取值。

By introducing the method of constructing shape function in element-free Galerkin method-moving least squares method and the nature and form of weight function,the influence radius of weight function on numerical results is analyzed.A new method to determine the influence radius of the weight function is constructed by introduced parameters.By comparing the energy norm of the error under different parameter values,the optimal parameter value is obtained,and the value of the influence radius of the weight function is determined.