Accelerated Cartesian expansions and its application in augmented electric field integral equation

In this paper, a fast solver for low-frequency problem is presented. In this solver, multilevel Accelerated Cartesian expansions (MLACE) algorithm and augmented electric field integral equation (A-EFIE) are used. A-EFIE is employed because it is stable in low-frequency. In addition, since A-EFIE is based on the idea of separating the vector potential and the scalar potential, more accurate and efficient solver can be obtained by using low order MLACE for low-frequency problems. Some numerical results are presented to demonstrate the accuracy and efficiency of this solver.