A novel approach to computing time-harmonic solutions of Maxwell's equations by time-domain simulations is presented. The method, EM-WaveHoltz, results in a positive definite system of equations which makes it amenable to iterative solution with the conjugate gradient method or with GMRES. Theoretical results guaranteeing the convergence of the method away from resonances is presented. Numerical examples illustrating the properties of EM-WaveHoltz are given.

翻译：介绍了一种新颖的方法,即EM-WaveHoltz方法,通过时间域模拟来计算Maxwell方程式的时间-和谐解决方案。该方法产生了一个肯定的方程式系统,使该方程式可以与同流梯度法或GMRES系统进行迭代解决方案。介绍了保证该方法与共振脱钩的理论结果。给出了说明EM-WaveHoltz特性的数字示例。