关键词: 多项式基函数, 紧支域, 径向基函数, 局部边界积分方程, 无网格法

Abstract: The interpolation function, which is of delta function property and constructed on the basis of radial basis functions, is applied in the local boundary integral equation of elasticity, the discretized equations of 2D elasticity are obtained, then the local boundary integral equation method based on radial basis functions is presented. Comparing with the conventional local boundary integral equation method, the present method need not the unknown virtual nodal quantities, the basic unknown quan-tities are the real solutions of the nodal variables. The present method is a direct numerical method of local boundary integral equation. The implementation procedure is simpler and the computation cost is much lower because of the simple interpo-lation, the corresponding derivatives and the delta function property. In addition, the essential boundary conditions can be implemented easily as in the finite element method. Some nu-merical results to demonstrate the efficiency of the present method are presented.

Key words: Compactly supported domain, Local boundary integral equation, Meshless method, Polynomial basis functions, Radial basis functions