A posteriori error estimates in finite element acoustic analysis

DOI10.1016/S0377-0427(99)00335-0zbMath0972.76053MaRDI QIDQ1570985

Ana E. Alonso, Victoria Vampa, Anahí Dello Russo

Publication date: 9 July 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite element methodeigenvectorsa posteriori error estimatorhigher-order termsadaptive refinementlocal error indicatoracoustic vibration modes

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (7)

Assessment of finite and spectral element shape functions for efficient iterative simulations of interior acoustics ⋮ A posteriori virtual element method for the acoustic vibration problem ⋮ Error estimates and adaptive finite element methods ⋮ Accurate pressure post-process of a finite element method for elastoacoustics ⋮ Mixed approximation of eigenvalue problems: A superconvergence result ⋮ Quasi‐optimality of the adaptive finite element method for the eigenvalue problem arising from the vibration frequencies of the cavity flow ⋮ Postprocessing for the Raviart--Thomas mixed finite element approximation of the eigenvalue problem

Cites Work

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• Finite element analysis of compressible and incompressible fluid-solid systems
• The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems
• A POSTERIORI ERROR ESTIMATORS FOR MIXED APPROXIMATIONS OF EIGENVALUE PROBLEMS
• Finite Element Vibration Analysis of Fluid–Solid Systems without Spurious Modes

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