A Meshless Intervention-Point Method With h-p-d Adaptability
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摘要: 提出了一种新型无网格法,即无网格介点(MIP)法.MIP法采用移动最小二乘核近似,有利于提高数值方法的计算稳定性,而且算法更为简便.MIP法采用局部介点近似技术,使得这种方法不仅具有一般的h适应性,而且具有p-d适应性,从而使方法在数值实施上更具有灵活性.数值算例结果表明,MIP法具有计算简单,效率高,精度高的优点,而且显示出对多种求解问题具有广泛适用的特性.Abstract: A truly meshless method, the meshless intervention-point (MIP) method, was presented. The moving least squares core (MLSC) approximation was applied to build the shape functions, and to help formulate a more simple and stable algorithm. Furthermore, a local intervention-point approximation technique for numerical discretization was introduced to endow the method with the h-p-d adapability, which meant higher flexibility and applicability in reality. The results from several numerical tests show that the proposed method is simple, efficient and accurate, and exhibits all-round potential for engineering computation.
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