A space-time finite element method for the exterior structural acoustics problem: Time-dependent radiation boundary conditions in two space dimensions

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 10, 1996, Pages 1635-1657

  Thompson, Lonny L ^a,b   Pinsk Y, Peter M ^a  

^a Stanford University ^*  (United States)

^b Clemson University   (United States)

Author keywords

Absorbing boundary conditions; Discontinuous galerkin method; Finite element method; Radiation boundary conditions; Structural acoustics; Wave equation

Indexed keywords

ACOUSTICS; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; RADIATION;

ACOUSTIC IMPEDANCE; ACOUSTIC WAVE SCATTERING; ACOUSTIC WAVE TRANSMISSION; ACOUSTICS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; FLUIDS; FREQUENCY DOMAIN ANALYSIS; NUMERICAL METHODS; VARIATIONAL TECHNIQUES;

ABSORBING BOUNDARY CONDITIONS; EXTERIOR STRUCTURAL ACOUSTICS; FLUID TRUNCATION BOUNDARY; RADIATION BOUNDARY CONDITIONS; SPACE TIME VARIATIONAL EQUATION; TIME DISCONTINUOUS GALERKIN SPACE TIME FINITE ELEMENT METHOD; TWO DIMENSIONAL WAVE EQUATION;

FINITE ELEMENT METHOD;

EID: 0030150536     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19960530)39:10<1635::AID-NME922>3.0.CO;2-T     Document Type: Article

References (7)

1. J. B. Keller and D. Givoli, 'Exact non-reflecting boundary conditions', J. Comp. Phys., 82, 172-192 (1989).
2. D. Givoli and J. B. Keller, 'Non-reflecting boundary conditions for elastic waves', Wave Motion 12, 261-279 (1990).
3. A. Bayliss and E. Turkel, 'Radiation boundary conditions for wave-like equations'. Commun. Pure Appl. Math, 33, 707-725 (1980).
4. A. Bayliss, M. Gunzbarger and E. Turkel, 'Boundary conditions for the numerical solution of elliptic equations in exterior regions', SIAM J. Appl. Math., 42, 430-451 (1982).
5. T. J. R. Hughes, L. P. Franca and G. M. Hulbert, 'A new finite element formulation for computational fluid dynamics: VIII. The Galerkin least squares method for advective-diffusive equations,' Comp. Methods Appl. Mech. Eng. 73, 173-189 (1989).
6. G. N Watson, Theory of Bessel Functions, Cambridge University Press, Cambridge, 1966.
7. S. N. Karp, 'A convergent far field expansion for two-dimensional radiation functions', Commun. Pure Appl. Math. XIV, 427-434 (1961).