Iterative solutions to sequences of Helmholtz equations

We consider sequences of linear systems of equations that follow from the differential equations that describe the acoustics of a car, where the solution to a single linear system corresponds to the pressure perturbations that are caused by acoustic waves of a certain frequency. We consider several iterative numerical methods which belong to the class of Krylov subspace methods and that solve these linear systems. In addition we investigate a particular type of so-called preconditioning, which is a specific procedure that rewrites the system into a form that is more suitable for the numerical methods.
Numerical linear algebra
Applied mathematics
Electrical Engineering, Mathematics and Computer Science