The order of convergence of eigenfrequencies in F. E. approximations of fluid-structure interaction problems

Abstract

In this paper we prove a double order for the convergence of eigenfrequencies in fluid-structure vibration problems. We improve the estimates given in [2] and [3] for compressible and incompressible fluids respectively. To do it, we extend classical results about F. E. spectral approximation to nonconforming methods for non compact operators.