A SPACE-TIME FINITE ELEMENT METHOD FOR THE EXTERIOR STRUCTURAL ACOUSTICS PROBLEM: TIME-DEPENDENT RADIATION BOUNDARY CONDITIONS IN TWO SPACE DIMENSIONS

DOI<1635::AID-NME922>3.0.CO;2-T 10.1002/(SICI)1097-0207(19960530)39:10<1635::AID-NME922>3.0.CO;2-TzbMath0886.76047OpenAlexW2006132632MaRDI QIDQ4349459

Peter M. Pinsky, Lonny L. Thompson

Publication date: 10 May 1998

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19960530)39:10<1635::aid-nme922>3.0.co;2-t

zbMATH Keywords

optimal convergence ratesstability estimatesjump operatorsspace-time slabtime-discontinuous Galerkin space-time finite element method

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

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, Analytical study of the effect of wave number on the performance of local absorbing boundary conditions for acoustic scattering, A new stable space-time formulation for two-dimensional and three-dimensional incompressible viscous flow, A novel space-time generalized FDM for transient heat conduction problems, Adaptive space-time finite element methods for the wave equation on unbounded domains, Accurate radiation boundary conditions for the two-dimensional wave equation on unbounded domains

Cites Work

• Non-reflecting boundary conditions
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• Non-reflecting boundary conditions for elastic waves
• Exact non-reflecting boundary conditions
• Space-time finite element methods for elastodynamics: Formulations and error estimates
• Radiation boundary conditions for wave-like equations
• Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
• A convergent ‘farfield’ expansion for two‐dimensional radiation functions