关键词: 代理模型,移动最小二乘法,支持域半径,近似精度

Abstract: The moving least squares agent model is better than the general agent model,but its accuracy is affected by the radius of the support domain.On the basis of empirical formula,this paper proposed an optimization method for the support domain radius of the moving least square agent model.The optimal radius of sampling points in the support domain is obtained,and the approximation accuracy is improved to achieve the purpose of reducing the sampling points.Numerical experiments show that,for different base order function and weight function,the proposed method greatly improves the approximation accuracy of the moving least square agent model,and compared with the moving least squares (MLS) agent model based on empirical formula, the same approximation accuracy can be reached with only a few sampling points.

Key words: Agent model,Moving least square method,Support domain radius,Approximation accuracy