Finite element solution of the transient exterior structural acoustics problem based on the use of radially asymptotic boundary operators

DOI10.1016/0045-7825(91)90101-BzbMath0764.73087OpenAlexW2024169432MaRDI QIDQ1205113

Peter M. Pinsky, Najib N. Abboud

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0045-7825(91)90101-b

zbMATH Keywords

reflectionHamiltonian approachasymptotic expansionviscoelastic dissipationvariational formalisminfinite fluid domainmirror image adjoint systemmixed two-field finite elementtruncation boundary

Mathematics Subject Classification ID

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

Related Items (11)

Special finite elements for use with high-order boundary conditions ⋮ A space-time finite element method for structural acoustics in infinite domains. I: Formulation, stability and convergence. II: Exact time-dependent non-reflecting boundary conditions ⋮ A simple impedance-infinite element for the finite element solution of the three-dimensional wave equation in unbounded domains ⋮ A spatially exact non-reflecting boundary condition for time dependent problems ⋮ Connection and comparison between frequency shift time integration and a spectral transformation preconditioner ⋮ A family of second-order boundary dampers for finite element analysis of two and three-dimensional problems in transient exterior acoustics ⋮ Implementation of exact non-reflecting boundary conditions in the finite element method for the time-dependent wave equation ⋮ Numerical solution of problems on unbounded domains. A review ⋮ Optimal local non-reflecting boundary conditions ⋮ Computation of far-field solutions based on exact nonreflecting boundary conditions for the time-dependent wave equation ⋮ Local absorbing boundaries of elliptical shape for scalar waves

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