The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems
Open Access
- 1 October 1996
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 65 (216) , 1463-1475
Abstract
In this paper we prove a double order for the convergence of eigenfrequencies 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.Keywords
This publication has 15 references indexed in Scilit:
- Finite element analysis of compressible and incompressible fluid-solid systemsMathematics of Computation, 1998
- FINITE ELEMENT SOLUTION OF INCOMPRESSIBLE FLUID-STRUCTURE VIBRATION PROBLEMSInternational Journal for Numerical Methods in Engineering, 1997
- Finite element computation of the vibration modes of a fluid—solid systemComputer Methods in Applied Mechanics and Engineering, 1994
- Mixed and Hybrid Finite Element Methods1991
- Vibration analysis of fluid–solid systems using a finite element displacement formulationInternational Journal for Numerical Methods in Engineering, 1990
- Mathematical formulation of fluid-structure interaction problemsESAIM: Mathematical Modelling and Numerical Analysis, 1987
- Analysis of fluid-structure interactions. a direct symmetric coupled formulation based on the fluid velocity potentialComputers & Structures, 1985
- Eigenvalue Approximation by Mixed and Hybrid MethodsMathematics of Computation, 1981
- A displacement method for the analysis of vibrations of coupled fluid‐structure systemsInternational Journal for Numerical Methods in Engineering, 1978
- A mixed finite element method for 2-nd order elliptic problems1977