Dispersion analysis of stabilized finite element methods for acoustic fluid interaction with Reissner-Mindlin plates

DOI10.1002/nme.133zbMath1098.74716OpenAlexW2115491261MaRDI QIDQ2720010

Sridhar Sankar, Lonny L. Thompson

Publication date: 2001

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.133

zbMATH Keywords

finite element methodsstructural acousticsfluid-structure interactionReissner-Mindlin plates

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Hydro- and aero-acoustics (76Q05)

Cites Work

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• Complex wavenumber Fourier analysis of the \(p\)-version finite element method
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• Galerkin generalized least squares finite element methods for time-harmonic structural acoustics
• The free and forced waves on a fluid-loaded elastic plate
• A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
• Dispersion analysis of finite element semidiscretizations of the two-dimensional wave equation
• An assumed-stress hybrid 4-node shell element with drilling degrees of freedom
• A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation

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