中文摘要：

针对MQ（Multiquadric）径向基配点法求解含有突变边界条件时在靠近边界区域的数值解往往出现较其他区域的误差变大问题,提出了一种基于传统MQ径向基配点法的改进型MQ径向基配点法.将该方法用于求解带凹槽的三维金属盒电场问题,通过程序计算得出等住线分布图.数值结果表明,该方法在效率上相对于有限元法有很大的提高;在精确度上要远远优于传统MQ径向基配点法,且大大减小了边界处的误差.

英文摘要：

The muhiquadric （MQ） radial basis function collocation method was introduced for solving many PDEs; however, the values of the PDEs containing abrupt change boundary conditions will be not accurate. The improved MQ radial basis function method based on the traditional MQ collocation method is presented. The proposed approach is applied for 3D electromagnetic problems. Numerical results show that the method has considerable improvements in efficiency over those using finite element method （FEM）, is more accurate than the traditional MQ collocation method,and has considerable advantages in accuracy over that using the traditional MQ collocation method on the boundaries.