摘要

In this letter, a preconditioner for the time-domain augmented electric field integral equation (TD-AEFIE) is constructed to stabilize the marching-on-in-time algorithm at low frequencies. Similar to its counterpart in the frequency domain, the TD-AEFIE system matrix also suffers from the saddle point matrix problem. It becomes ill-conditioned when the frequency approaches zero and the time-step.t.8. By implementing the time normalization and applying a time-domain constrained preconditioner, the regularized system converges much faster than the original one. A theoretical analysis shows that its condition number becomes independent with.t and the precision is also better than that without preconditioner. Finally, numerical examples demonstrate and validate the stability, accuracy, and efficiency of the proposed method.