First results on the reliability of finite element simulators for the solution of time-harmonic electromagnetic problems involving moving objects with stationary boundaries

In this work we provide a first result of reliability of the finite element method for time-harmonic electromagnetic problems involving moving objects with stationary boundaries. In addition, by considering a simple geometry allowing the computation of a semi-analytical solution, we will provide a first error analysis for finite element solutions and a comparison with the same type of result for problems not involving any moving material.