Finite element analysis of compressible and incompressible fluid-solid systems

DOI10.1090/S0025-5718-98-00901-6zbMath0898.73060MaRDI QIDQ4372686

Alfredo Bermúdez, Ricardo G. Durán, Rodolfo Rodríguez

Publication date: 16 December 1997

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

convergenceerror estimatesdisplacement formulationtransmission conditionsstream function formulationpiecewise linear elementslowest order triangular Raviart-Thomas elementsnonconforming discretizationwell-posed mixed linear eigenvalue problem

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Free motions in linear vibration theory (70J30)

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Cites Work

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• Finite element computation of the vibration modes of a fluid-solid system
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• On the vibration problem for an elastic body surrounded by a slightly compressible fluid
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• A displacement method for the analysis of vibrations of coupled fluid‐structure systems
• The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems
• Mathematical formulation of fluid-structure interaction problems
• On the approximation of the spectrum of the Stokes operator
• Finite Element Vibration Analysis of Fluid–Solid Systems without Spurious Modes

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