An Efficient Iterative Method Using Prior Initial Value for the Integrated Circuit Simulation

In this paper, an efficient iterative method using prior initial value is proposed to accelerate the solution of integral equation. The iterative solution occupies the most time of electromagnetic simulation. Considering the current distribution at adjacent frequency points varies continuously, the calculated current can be the prior initial value for the iterative solver to reduce the convergence steps. Especially for integrated circuit (IC) simulation, because the IC structures are electrically small, the current distribution is very similar at a frequency band, so the simulation frequency belongs to low frequency for the chip. Thus, the initial current solution at a frequency point is obtained by the interpolation of the adjacent frequency points. By adopting generalized minimum residual (GMRES) algorithm with this initial value, the integral equation is efficiently solved. An IC simulation example is given to demonstrate the efficiency of this method and validate the accuracy of the results.