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Volumn 38, Issue 1, 2001, Pages 267-291

Finite element analysis of a quadratic eigenvalue problem arising in dissipative acoustics

Author keywords

Dissipative acoustics; Finite element spectral approximation; Quadratic eigenvalue problems

Indexed keywords


EID: 0034454173     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142999360160     Document Type: Article
Times cited : (43)

References (23)
  • 1
    • 0029342666 scopus 로고
    • A mixed displacement-based finite element formulation for acoustic fluid-structure interaction
    • K. J. BATHE, C. NITIKITPAIBOON, AND X. WANG, A mixed displacement-based finite element formulation for acoustic fluid-structure interaction, Comput. Structures, 56 (1995), pp. 225-237.
    • (1995) Comput. Structures , vol.56 , pp. 225-237
    • Bathe, K.J.1    Nitikitpaiboon, C.2    Wang, X.3
  • 3
    • 0032785039 scopus 로고    scopus 로고
    • Finite element computation of three-dimensional elastoacoustic vibrations
    • A. BERMÚDEZ, L. HERVELLA-NIETO, AND R. RODRÍGUEZ, Finite element computation of three-dimensional elastoacoustic vibrations, J. Sound Vibration, 219 (1999), pp. 277-304.
    • (1999) J. Sound Vibration , vol.219 , pp. 277-304
    • Bermúdez, A.1    Hervella-Nieto, L.2    Rodríguez, R.3
  • 5
    • 0028671142 scopus 로고
    • Finite element computation of the vibration modes of a fluid-solid system
    • A. BERMÚDEZ AND R. RODRÍGUEZ, Finite element computation of the vibration modes of a fluid-solid system, Comput. Methods Appl. Mech. Engrg., 119 (1994), pp. 355-370.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.119 , pp. 355-370
    • Bermúdez, A.1    Rodríguez, R.2
  • 6
    • 0005008026 scopus 로고    scopus 로고
    • Numerical computation of elastoacoustic vibrations with interface damping
    • Gauthier-Villars, Paris
    • A. BERMÚDEZ AND R. RODRIGUEZ, Numerical computation of elastoacoustic vibrations with interface damping, in Équations aux Dérivées Partielles et Applications, Gauthier-Villars, Paris, 1998, pp. 165-187.
    • (1998) Équations aux Dérivées Partielles et Applications , pp. 165-187
    • Bermúdez, A.1    Rodriguez, R.2
  • 7
    • 0342514672 scopus 로고    scopus 로고
    • Modeling and numerical solution of elastoacoustic vibrations with interface damping
    • A. BERMÚDEZ AND R. RODRIGUEZ, Modeling and numerical solution of elastoacoustic vibrations with interface damping, Internat. J. Numer. Methods Engrg., 46 (1999), pp. 1763-1779.
    • (1999) Internat. J. Numer. Methods Engrg. , vol.46 , pp. 1763-1779
    • Bermúdez, A.1    Rodriguez, R.2
  • 9
    • 0025400193 scopus 로고
    • Vibration analysis of fluid-solid systems using a finite element displacement formulation
    • H. C. CHEN AND R. L. TAYLOR, Vibration analysis of fluid-solid systems using a finite element displacement formulation, Internat. J. Numer. Methods Engrg., 29 (1990), pp. 683-698.
    • (1990) Internat. J. Numer. Methods Engrg. , vol.29 , pp. 683-698
    • Chen, H.C.1    Taylor, R.L.2
  • 10
    • 8544220284 scopus 로고
    • Basic error estimates for elliptic problems
    • P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam
    • P. G. CIARLET, Basic error estimates for elliptic problems, in Handbook of Numerical Analysis, Vol. II, P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam, 1991, pp. 17-351.
    • (1991) Handbook of Numerical Analysis , vol.2 , pp. 17-351
    • Ciarlet, P.G.1
  • 11
    • 0003074690 scopus 로고
    • Elliptic Boundary Value Problems on Corner Domains: Smoothness and Asymptotics of Solutions
    • Springer-Verlag, Berlin, Heidelberg
    • M DAUGE, Elliptic Boundary Value Problems on Corner Domains: Smoothness and Asymptotics of Solutions, Lecture Notes in Math. 1341, Springer-Verlag, Berlin, Heidelberg, 1988.
    • (1988) Lecture Notes in Math. , vol.1341
    • Dauge, M.1
  • 12
    • 0002023947 scopus 로고
    • On spectral approximation. Part 1: The problem of convergence
    • J. DESCLOUX, N. NASSIF, AND J. RAPPAZ, On spectral approximation. Part 1: The problem of convergence, RAIRO Anal. Numér., 12 (1978), pp. 97-112.
    • (1978) RAIRO Anal. Numér. , vol.12 , pp. 97-112
    • Descloux, J.1    Nassif, N.2    Rappaz, J.3
  • 13
    • 0004967654 scopus 로고
    • On spectral approximation. Part 2: Error estimates for the Galerkin method
    • J. DESCLOUX, N. NASSIF, AND J. RAPPAZ, On spectral approximation. Part 2: Error estimates for the Galerkin method, RAIRO Anal. Numer., 12 (1978), pp. 113-119.
    • (1978) RAIRO Anal. Numer. , vol.12 , pp. 113-119
    • Descloux, J.1    Nassif, N.2    Rappaz, J.3
  • 14
    • 0030510428 scopus 로고    scopus 로고
    • Mixed finite element methods in fluid structure systems
    • L. GASTALDI, Mixed finite element methods in fluid structure systems, Numer. Math., 74 (1996), pp. 153-176.
    • (1996) Numer. Math. , vol.74 , pp. 153-176
    • Gastaldi, L.1
  • 17
    • 0017856801 scopus 로고
    • A displacement method for the analysis of vibrations of coupled fluid-structure systems
    • M. HAMDI, Y. OUSET, AND G. VERCHERY, A displacement method for the analysis of vibrations of coupled fluid-structure systems, Internat. J. Numer. Methods Engrg., 13 (1978), pp. 139-150.
    • (1978) Internat. J. Numer. Methods Engrg. , vol.13 , pp. 139-150
    • Hamdi, M.1    Ouset, Y.2    Verchery, G.3
  • 18
    • 0002671220 scopus 로고
    • Elastoacoustic damped vibrations. Finite element and modal reduction methods
    • O. C. Zienkiewicz and P. Ladevèze, eds., Elsevier, Amsterdam
    • V. KEHR-KANDILLE AND R. OHAYON, Elastoacoustic damped vibrations. Finite element and modal reduction methods, in New Advances in Computational Structural Mechanics, O. C. Zienkiewicz and P. Ladevèze, eds., Elsevier, Amsterdam, 1992, pp. 321-334.
    • (1992) New Advances in Computational Structural Mechanics , pp. 321-334
    • Kehr-Kandille, V.1    Ohayon, R.2
  • 19
    • 0039614510 scopus 로고
    • On some mathematical principles in the linear theory of damped oscillations of continua I
    • M. G. KREIN AND H. LANGER, On some mathematical principles in the linear theory of damped oscillations of continua I, Integral Equations Operator Theory, 1 (1978), pp. 364-399.
    • (1978) Integral Equations Operator Theory , vol.1 , pp. 364-399
    • Krein, M.G.1    Langer, H.2
  • 22
    • 0030518530 scopus 로고    scopus 로고
    • The order of convergence of eigenfrequencies infinite element approximations of fluid-structure interaction problems
    • R. RODRÍGUEZ AND J. SOLOMIN, The order of convergence of eigenfrequencies infinite element approximations of fluid-structure interaction problems, Math. Comp., 65 (1996), pp. 1463-1475.
    • (1996) Math. Comp. , vol.65 , pp. 1463-1475
    • Rodríguez, R.1    Solomin, J.2
  • 23
    • 0031169472 scopus 로고    scopus 로고
    • Displacement/pressure based mixed finite element formulations for acoustic fluid-structure interaction problems
    • X. WANG AND K. J. BATHE, Displacement/pressure based mixed finite element formulations for acoustic fluid-structure interaction problems, Internat. J. Numer. Methods Engrg., 40 (1997), pp. 2001-2017.
    • (1997) Internat. J. Numer. Methods Engrg. , vol.40 , pp. 2001-2017
    • Wang, X.1    Bathe, K.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.