面向对象的无网格伽辽金法

OBJECT ORIENTED ELEMENT FREE GALERKIN METHOD

采用Schmidt法对无网格伽辽金法(EFGM)形函数的基函数进行正交化，避免了形函数中的矩阵求逆运算，同时也减少了运算量并提高计算精度。对EFGM中的权函数、节点影响半径等关键问题进行了改进，并利用对象设计思想将无网格伽辽金法的对象抽象为独立的数据类，研究了无网格伽辽金法数据类的设计方法和组织方式并编制了相应的计算程序。数值算例结果表明，理论正确、方法有效。

The Schimidt procedure is used to orthogonalize the basis of element free Galer kin method(EFGM) interpolants to avoid computing the inverse of matrix.At the sa me time,the computational costs are reduced and the accuracy of MLS interpolants are improved.The choice of weight functions and radius of influence circle is a lso ameliorated.The desing method and management of the object about the EFGM ar e studied by Abstract:ing the data of EFGM as independent data classes.The calcul ation results indicate that the theory and programs are accurate and effective.