具有过点插值性质的无网格法及其应用

Meshless method passing nodes and its applications

为了解决以往无网格法本征边界条件处理难的缺点,用滑动克里格插值技术代替滑动最小二乘构造无网格形函数。由此所构造的形函数具有Kroneckerδ-函数属性,简化了位移边界条件的处理。数值算例结果证明该方法精度高,方法简单有效。

To overcome the defect of the difficulty in treating essential boundary with meshless method,moving Kriging interpolation procedure is employed instead of moving least squared procedure to construct shape function.Thus the shape functions constructed by the proposed method have the property of Kroneckerε-function,which make the essential boundary conditions be easily implemented.The numerical results show that this procedure is effective and simple.