Local boundary integral equation method based on radial basis functions for potential problems
Local boundary integral equation method based on radial basis functions for potential problems
复制标题
DOI：
10.7498/aps.56.597
复制
发表时间：
2007-01
期刊：
影响因子：
--
通讯作者：
Dai Bao-dong;Cheng Yu-min
中科院分区：
文献类型：
--
作者：
Dai Bao-dong;Cheng Yu-min
针对潜在问题，结合具有δ函数性质、在径向基函数和多项式函数基础上构造的插值函数和局部边界积分方程方法（LBIE），提出了基于径向基函数的局部边界积分方程方法。得到相应的离散方程。与其他无网格边界积分方程方法相比，该方法数值过程更简单，计算成本更低，精度更高。此外，必要的边界条件可以直接实现。给出了一些数值结果来显示本方法的效率。
Combining the interpolation function, which has the delta function property and is constructed on the basis of radial basis functions and polynomial functions, using the local boundary integral equation method (LBIE), the local boundary integral equation method based on radial basis functions is presented for potential problem in this paper. The corresponding discrete equations are obtained. Comparing with the other meshless boundary integral equation methods, the present method has simpler numerical procedures, lower computation cost and higher accuracy. In addition, the essential boundary conditions can be implemented directly. Some numerical results to show the efficiency of the present method are given.