NONCONFORMING MIXED FINITE ELEMENT APPROXIMATION OF A FLUID-STRUCTURE INTERACTION SPECTRAL PROBLEM

作者：Meddahi Salim^*; Mora David^*

来源：Discrete and Continuous Dynamical Systems - Series S, 2016, 9(1): 269-287.

DOI：10.3934/dcdss.2016.9.269

• Fluid-structure interaction
• elastoacoustic vibrations
• sloshing
• mixed elasticity equations
• eigenvalue problem
• finite elements
• error estimates

We aim to provide a finite element analysis for the elastoacoustic vibration problem. We use a dual-mixed variational formulation for the elasticity system and combine the lowest order Lagrange finite element in the fluid domain with the reduced symmetry element known as PEERS and introduced for linear elasticity in [1]. We show that the resulting global nonconforming scheme provides a correct spectral approximation and we prove quasi-optimal error estimates. Finally, we confirm the asymptotic rates of convergence by numerical experiments.

• 出版日期2016-2