An improved Calderón preconditioner for electric field integral equation

In this paper, an improved Calderon preconditioner for electric field integral equation (EFIE) with the adaptive cross approximation (ACA) algorithm is presented. The preconditioning technique based on Calderon formulas is aimed at stabilizing EFIE. A new preconditioning technique by using Buffa-Christiansen (BC) basis has been introduced in literatures recently. Because a dual refined mesh must be constructed by using BC basis, the additional computational cost is obviously risen out, despite of its distinct effect on reducing the solution time. The improved preconditioner in this paper has adopted ACA algorithm to decrease the memory and computational cost during the preconditioning process and using BC basis to generate stabilized EFIE. Numerical results demonstrate that this modified preconditioner makes the MoM EFIE system converging rapidly no matter whatever the discretization density and speeds up the preconditioning process by contrast with original multiplicative Calderon preconditioner.