First error analyses for finite element solutions of boundary value problems involving cylinders moving in the axial direction

A first error analysis for finite element solutions of time-harmonic boundary value problems involving cylinders moving in the axial direction is carried out. It is shown that the solutions are affected by errors which behave in a very regular way, as it happens with traditional problems and finite element simulators in the presence of motionless objects. The effects of the motion on the errors considered seems to be not able to significantly modify the usual reliability of finite element simulators.