径向基函数Galerkin方法在地下水数值模拟中的应用

Application of RBF Galerkin Method to Numerical Simulation of Groundwater Flow

本文主要介绍了利用径向基函数构造Galerkin型无网格方法.并将其应用于解决地下水稳定渗流问题,讨论了近似解与精确解所产生的误差对比.结果表明,径向基函数Galerkin是一种既有效又有较高精度的求解方法.

In this paper we constructed the meshless method of Galerkin type by using the radial basis function （RBF） ,and applied to the steady flow of groundwater problems.We discussed and compared the error between the approximate solution and the exact solution. The result shows that the meshless method of Galerkin type with RBF is an efficient and high precision method.