  This paper presents the design and development of an Anderson Accelerated
Preconditioned Modified Hermitian and Skew-Hermitian Splitting (AA-PMHSS)
method for solving complex-symmetric linear systems with application to
electromagnetics problems, such as wave scattering and eddy currents. While it
has been shown that the Anderson Acceleration of real linear systems is
essentially equivalent to GMRES, we show here that the formulation using
Anderson acceleration leads to a more performant method. We show relatively
good robustness compared to existing preconditioned GMRES methods and
significantly better performance due to the faster evaluation of the
preconditioner. In particular, AA-PMHSS can be applied to solve problems and
equations arising from electromagnetics, such as time-harmonic eddy current
simulations discretized with the Finite Element Method. We also evaluate three
test systems present in previous literature. We show that the method is
competitive with two types of preconditioned GMRES. One of the significant
advantages of these methods is that the convergence rate is independent of the
discretization size.
