Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity

DOI10.1090/S0025-5718-00-01259-XzbMath0969.65103MaRDI QIDQ2701546

Pat Ryan

Publication date: 19 February 2001

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

zbMATH Keywords

convergenceeigenvalueerror estimatesfinite elementeigenfunctionshydroelasticityelastic solidvibrational eigenpairs

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (3)

Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem ⋮ Numerical study of the vibrations of an elastic container filled with an inviscid fluid ⋮ Matrix-Padé via Lanczos solutions for vibrations of fluid-structure interaction

Cites Work

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• On a spectral problem in vibration mechanics: Computation of elastic tanks partially filled with liquids
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Finite Element Methods for Navier-Stokes Equations
• Eigenvalue Approximation by Mixed and Hybrid Methods
• Spectral Approximation for Compact Operators
• Mathematical formulation of fluid-structure interaction problems

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