Residual-based methods for fluid-loaded beams

DOI10.1016/S0045-7825(00)00252-8zbMath0981.74065MaRDI QIDQ5931192

Karl Grosh

Publication date: 21 March 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

finite element approximation\(L(2)\) error estimatefluid stiffnessfluid-loaded beamfluid-structure couplingstructural acousticssymmetric residual-based modification

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05)

Cites Work

• Unnamed Item
• A Fourier analysis of spurious mechanisms and locking in the finite element method
• Exact non-reflecting boundary conditions
• Finite element methods for the Helmholtz equation in an exterior domain: Model problems
• A finite element method for large domains
• Reducing spurious dispersion, anisotropy and reflection in finite element analysis of time-harmonic acoustics
• Design of Galerkin generalized least squares methods for Timoshenko beams
• Complex wave-number dispersion analysis of Galerkin and Galerkin least-squares methods for fluid-loaded plates
• A multiscale finite element method for the Helmholtz equation
• Galerkin generalized least squares finite element methods for time-harmonic structural acoustics
• A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
• Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
• A two-level finite element method and its application to the Helmholtz equation
• Residual-free bubbles for the Helmholtz equation

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