ON THE INF–SUP CONDITION OF MIXED FINITE ELEMENT FORMULATIONS FOR ACOUSTIC FLUIDS

DOI10.1142/S0218202501001161zbMath1018.76023OpenAlexW2067791193MaRDI QIDQ4798892

Klaus-Jürgen Bathe, Weizhu Bao, X. Sheldon Wang

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202501001161

zbMATH Keywords

stabilityeigenvalue problemnatural frequenciessolvabilityinf-sup conditionoptimal error boundsacoustic fluidsthree-field mixed finite element discretizations

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (3)

Basis functions for residual stresses ⋮ An infinite element for the solution of Galbrun equation ⋮ On computational issues of immersed finite element methods

Cites Work

• A discourse on the stability conditions for mixed finite element formulations
• Finite element computation of the vibration modes of a fluid-solid system
• Mixed finite element methods in fluid structure systems
• The inf-sup test
• A technique for analysing finite element methods for viscous incompressible flow
• Finite elements for the dynamic analysis of fluid-solid systems
• Analysis of fluid-structure interactions. a direct symmetric coupled formulation based on the fluid velocity potential
• On Mixed Elements for Acoustic Fluid-Structure Interactions
• DISPLACEMENT/PRESSURE BASED MIXED FINITE ELEMENT FORMULATIONS FOR ACOUSTIC FLUID-STRUCTURE INTERACTION PROBLEMS
• A mixed displacement-based finite element formulation for acoustic fluid-structure interaction
• On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form

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