Simulating composite metallic and dielectric objects by an improved multilevel Green´s function interpolation method

As the kernel of multilevel Green´s function interpolation method (MLGFIM), radial basis function interpolation always has large interpolation errors near boundary because of an ill-conditioning of spectrally accurate methods on uniformly distributed points. To remedy this problem, a new interpolation grid pattern with boundary clustered distribution is proposed to improve the Green´s function interpolation. By applying this new grid, the efficiency of MLGFIM is greatly enhanced. Numerical experiments have been given to demonstrate the accuracy and efficiency of the proposed method.