Recursive Skeletonization Factorization With Characteristic Basic Function Method

In this paper, the recursive skeletonization factorization (RSF) with characteristic basic function method (CBFM) is proposed to efficiently analyze the electromagnetic scattering for large-scale objects. In this method, CBF is employed to reduce the number of unknowns, thus reducing the dimension of the proxy matrices to be factorized and block diagonal matrices W and V. Besides, the adaptive across approximation are used to accelerate the generation of the far-field impedance matrix. Several numerical examples are performed to validate the accuracy and the effectiveness of the proposed method.