A SPACE-TIME FINITE ELEMENT METHOD FOR THE EXTERIOR STRUCTURAL ACOUSTICS PROBLEM: TIME-DEPENDENT RADIATION BOUNDARY CONDITIONS IN TWO SPACE DIMENSIONS
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Publication:4349459
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
optimal convergence ratesstability estimatesjump operatorsspace-time slabtime-discontinuous Galerkin space-time finite element method
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)
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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