关键词: 边界积分方程, 边界无单元法, 温度场, 重构核粒子法

Abstract: Combining the reproducing kernel particle method (RKPM) and boundary integral equations of Laplace equation, the reproducing kernel particle boundary element-free (RKP-BEF) method for temperature field is developed. The formulae of the method are derived for temperature field problems governed by 2-D Laplace equation. The discrete boundary integral equation of the reproducing kernel particle boundary element-free method is obtained. The smoothness of the shape function of RKPM is no less than that of the kernel function and the true values of polynomials at interpolating points can be exactly reconstructed. The numerical examples are given, and it is shown that the reproducing kernel particle boundary element-free method for temperature field has the advantages of meshless method and high precision.

Key words: Boundary element-free method, Boundary integral equation, Reproducing kernel particle method, Temperature field