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Volumn 16, Issue , 2003, Pages 94-106

A rational spectral problem in fluid-solid vibration

Author keywords

Fluid structure interaction; Maxmin principle; Nonlinear eigenvalue problem

Indexed keywords


EID: 3042577862     PISSN: 10689613     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (42)

References (15)
  • 2
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    • Asymptotic nalysis relating spectral models in fluid-solid vibrations
    • C. Conca, A. Osses, and J. Planchard, Asymptotic nalysis relating spectral models in fluid-solid vibrations, SIAM J. Numer. Anal., 35 (1998), pp. 1020 - 1048.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1020-1048
    • Conca, C.1    Osses, A.2    Planchard, J.3
  • 4
    • 0000942136 scopus 로고
    • A minmax theory for overdamped networks
    • R.J. Duffin, A minmax theory for overdamped networks, J. Rational Mech. Anal., 4 (1955), pp. 221 - 233.
    • (1955) J. Rational Mech. Anal. , vol.4 , pp. 221-233
    • Duffin, R.J.1
  • 5
    • 3042616674 scopus 로고
    • Variationsprinzipien bei nichtlinearen Eigenwertaufgaben
    • K. P. Hadeler, Variationsprinzipien bei nichtlinearen Eigenwertaufgaben, Arch. Rational Mech. Anal., 30 (1968) pp. 297 - 307.
    • (1968) Arch. Rational Mech. Anal. , vol.30 , pp. 297-307
    • Hadeler, K.P.1
  • 6
    • 3042616673 scopus 로고
    • Nonlinear eigenvalue problems
    • R. Ansorge, L. Collatz, G. Hämmerlin, and W. Törnig, eds., ISNM 27, Birkhäuser, Stuttgart
    • K. P. Hadeler, Nonlinear eigenvalue problems, in R. Ansorge, L. Collatz, G. Hämmerlin, and W. Törnig, eds., Numerische Behandlung von Differentialgleichungen, ISNM 27, Birkhäuser, Stuttgart, 1975, pp. 111-129.
    • (1975) Numerische Behandlung von Differentialgleichungen , pp. 111-129
    • Hadeler, K.P.1
  • 8
    • 1642305406 scopus 로고    scopus 로고
    • The rational Krylov algorithm for nonlinear eigenvalue problems
    • B. H. V. Topping, ed., Saxe-Coburg Publications, Edinburgh
    • P. Hager and N. E. Wiberg, The rational Krylov algorithm for nonlinear eigenvalue problems, in B. H. V. Topping, ed., Computational Mechanics for the Twenty-First Century, Saxe-Coburg Publications, Edinburgh, 2000, pp. 379-402.
    • (2000) Computational Mechanics for the Twenty-First Century , pp. 379-402
    • Hager, P.1    Wiberg, N.E.2
  • 9
    • 0020117405 scopus 로고
    • Eigenfrequencies of a tube bundle placed in a confined fluid
    • J. Planchard, Eigenfrequencies of a tube bundle placed in a confined fluid, Comput. Methods Appl. Mech. Engrg., 30 (1982), pp. 75 - 93.
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.30 , pp. 75-93
    • Planchard, J.1
  • 10
    • 34250946417 scopus 로고
    • A minmax theory for overdamped systems
    • E.H. Rogers, A minmax theory for overdamped systems, Arch. Rational Mech. Anal., 16 (1964), pp. 89 - 96.
    • (1964) Arch. Rational Mech. Anal. , vol.16 , pp. 89-96
    • Rogers, E.H.1
  • 11
    • 0041109922 scopus 로고
    • Variational properties of nonlinear spectra
    • E.H. Rogers, Variational properties of nonlinear spectra, J. Math. Mech., 18 (1968), pp. 479 - 490.
    • (1968) J. Math. Mech. , vol.18 , pp. 479-490
    • Rogers, E.H.1
  • 14
    • 0020300857 scopus 로고
    • A minimax principle for nonlinear eigenvalue problems with application to nonoverdamped systems
    • H. Voss and B. Werner, A minimax principle for nonlinear eigenvalue problems with application to nonoverdamped systems, Math. Methods Appl. Sci., 4 (1982), pp. 415 - 424.
    • (1982) Math. Methods Appl. Sci. , vol.4 , pp. 415-424
    • Voss, H.1    Werner, B.2
  • 15
    • 0002339117 scopus 로고
    • Das Spektrum von Operatorenscharen mit verallgemeinerten Rayleighquotienten
    • B. Werner, Das Spektrum von Operatorenscharen mit verallgemeinerten Rayleighquotienten, Arch. Rational Mech. Anal., 42 (1971), pp. 223 - 238.
    • (1971) Arch. Rational Mech. Anal. , vol.42 , pp. 223-238
    • Werner, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.