THE ORDER OF CONVERGENCE OF EIGENFREQUENCIES IN FINITE ELEMENT APPROXIMATIONS OF FLUID-STRUCTURE INTERACTION PROBLEMS

摘要

In this paper we prove a double order for the convergence of eigen-frequencies in fluid-structure vibration problems. We improve estimates given recently for compressible and incompressible fluids. To do this, we extend classical results on finite element spectral approximation to nonconforming methods for noncompact operators. [References: 16]