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Volumn 45, Issue 11, 1999, Pages 1607-1630

Finite element formulation of exact non-reflecting boundary conditions for the time-dependent wave equation

Author keywords

Finite element method; Non reflecting boundary conditions; Wave equation; Wave propagation

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; WAVE EQUATIONS; WAVE PROPAGATION;

EID: 0033588430     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19990820)45:11<1607::AID-NME645>3.0.CO;2-V     Document Type: Article
Times cited : (20)

References (18)
  • 1
    • 0003285534 scopus 로고
    • Numerical methods for problems in infinite domains
    • Elsevier: Amsterdam
    • Givoli D. Numerical methods for problems in infinite domains. Studies in Applied Mechanics, vol. 33. Elsevier: Amsterdam, 1992.
    • (1992) Studies in Applied Mechanics , vol.33
    • Givoli, D.1
  • 3
    • 0026102925 scopus 로고
    • Finite element solution of the transient exterior structural acoustics problem based on the use of radially asymptotic boundary operators
    • Pinsky PM, Abboud NN. Finite element solution of the transient exterior structural acoustics problem based on the use of radially asymptotic boundary operators. Computer Methods in Applied Mechanics and Engineering 1991; 85: 311-348.
    • (1991) Computer Methods in Applied Mechanics and Engineering , vol.85 , pp. 311-348
    • Pinsky, P.M.1    Abboud, N.N.2
  • 4
    • 0030171759 scopus 로고    scopus 로고
    • A space-time finite element method for structural acoustics in infinite domains, Part 2: Exact time-dependent non-reflecting boundary conditions
    • Thompson LL, Pinsky PM. A space-time finite element method for structural acoustics in infinite domains, Part 2: Exact time-dependent non-reflecting boundary conditions. Computer Methods in Applied Mechanics and Engineering 1996; 132:229-258.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.132 , pp. 229-258
    • Thompson, L.L.1    Pinsky, P.M.2
  • 5
    • 0029292813 scopus 로고
    • Exact non-reflecting boundary conditions for the time dependent wave equation
    • Grote MJ, Keller JB. Exact non-reflecting boundary conditions for the time dependent wave equation. SIAM Journal of Applied Mathematics 1995; 55:280-297.
    • (1995) SIAM Journal of Applied Mathematics , vol.55 , pp. 280-297
    • Grote, M.J.1    Keller, J.B.2
  • 6
    • 0030209904 scopus 로고    scopus 로고
    • Nonreflecting boundary conditions for time dependent scattering
    • Grote MJ, Keller JB. Nonreflecting boundary conditions for time dependent scattering. Journal of Computational Physics 1996; 127:52-65.
    • (1996) Journal of Computational Physics , vol.127 , pp. 52-65
    • Grote, M.J.1    Keller, J.B.2
  • 8
    • 85037468136 scopus 로고    scopus 로고
    • Implementation of exact non-reflecting boundary conditions in the finite element method for the rime-dependent wave equation
    • to appear
    • Thompson LL, Huan R. Implementation of exact non-reflecting boundary conditions in the finite element method for the rime-dependent wave equation. Computer Methods in Applied Mechanics and Engineering, to appear.
    • Computer Methods in Applied Mechanics and Engineering
    • Thompson, L.L.1    Huan, R.2
  • 9
    • 0004168443 scopus 로고
    • Cambridge University Press: Cambridge, equation (4)
    • Lamb H. Hydrodynamics. (4th edn). Cambridge University Press: Cambridge, 1916: 517, equation (4).
    • (1916) Hydrodynamics. (4th Edn) , pp. 517
    • Lamb, H.1
  • 12
    • 0020949934 scopus 로고
    • A precis of developments in computational methods for transient analysis
    • Hughes TJR. A precis of developments in computational methods for transient analysis. Journal of Applied Mechanics 1983; 50:1033-1040.
    • (1983) Journal of Applied Mechanics , vol.50 , pp. 1033-1040
    • Hughes, T.J.R.1
  • 15
    • 0039209912 scopus 로고
    • On the radiation field of pulse solutions of the wave equation
    • Friedlander FG. On the radiation field of pulse solutions of the wave equation. Proceedings of the Royal Society of London 1962; A 269:53-65.
    • (1962) Proceedings of the Royal Society of London , vol.269 A , pp. 53-65
    • Friedlander, F.G.1
  • 17
    • 0344228288 scopus 로고    scopus 로고
    • Exact non-reflecting boundary conditions for transient radiation in semi-infinite regions
    • Technical Report CMCU-98-02, November (1998), Computational Mechanics Lab, Clemson University. Submitted to
    • Thompson LL, Huan R. Exact non-reflecting boundary conditions for transient radiation in semi-infinite regions. Technical Report CMCU-98-02, November (1998), Computational Mechanics Lab, Clemson University. Submitted to the Journal of the Acoustical Society of America.
    • Journal of the Acoustical Society of America
    • Thompson, L.L.1    Huan, R.2
  • 18
    • 0344659596 scopus 로고    scopus 로고
    • Computation of far-field solutions based on exact nonreflecting boundary conditions for the time-dependent wave equation
    • Technical Report CMCU-98-03, November (1998), Computational Mechanics Lab, Clemson University. Submitted to
    • Thompson LL, Huan R. Computation of far-field solutions based on exact nonreflecting boundary conditions for the time-dependent wave equation. Technical Report CMCU-98-03, November (1998), Computational Mechanics Lab, Clemson University. Submitted to Computer Methods in Applied Mechanics and Engineering.
    • Computer Methods in Applied Mechanics and Engineering
    • Thompson, L.L.1    Huan, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.