Abstract:The state of time domain electric field volume integral equation is good, while that of surface integral equation is poor, which results in slow convergence in the iterative solution of time domain electric field integral equation with volume-surface coupling, unable to meet the project requirements. Furthermore, the acceleration effect obtained by general preconditioning techniques is not very ideal. Therefore, a too long iteration time for time domain volume-surface integral equation has become the core issue in practical engineering applications. Aiming at the problem of poor behavior matrix, a new Block Matrix Pre-conditioner(BMP) method which can accelerate the convergence of matrix iteration is proposed. The time domain volume-surface integral equation matrix is decomposed into three pieces in the form of matrix multiplication, and the three matrices are all sparse. The efficiency of the preconditioning technique is illustrated by several volume-surface examples.