메뉴 건너뛰기




Volumn 164, Issue 1-2, 1998, Pages 49-76

An ellipsoidal acoustic infinite element

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC PROPERTIES; DAMPING; MATHEMATICAL MODELS; STIFFNESS MATRIX;

EID: 0032475727     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00046-2     Document Type: Article
Times cited : (75)

References (32)
  • 1
    • 0028099393 scopus 로고
    • A three-dimensional acoustic infinite element based on a prolate spheroidal multipole expansion
    • [1] D.S. Burnett, A three-dimensional acoustic infinite element based on a prolate spheroidal multipole expansion, J. Acoust. Soc. Am. 96 (1994) 2798-2816.
    • (1994) J. Acoust. Soc. Am. , vol.96 , pp. 2798-2816
    • Burnett, D.S.1
  • 3
    • 0000501224 scopus 로고
    • The finite element method in plane stress analysis
    • Pittsburgh, PA, Sept
    • [3] The adjective 'finite' in 'finite element' means non-infinitesimal, not non-infinite. (See R.W. Clough, The finite element method in plane stress analysis, Proc. 2nd ASCE Conf. Electronic Computation, Pittsburgh, PA, (Sept, 1960) 345-378.)
    • (1960) Proc. 2nd ASCE Conf. Electronic Computation , pp. 345-378
    • Clough, R.W.1
  • 5
    • 0003891366 scopus 로고
    • M.A. Sc. Thesis, Univ. of British Columbia, Although the adjective 'infinite finite' is semantically correct, as explained in [3], all subsequent authors have dropped 'finite' after the word 'infinite'
    • [5] R.L. Ungless, An infinite finite element, M.A. Sc. Thesis, Univ. of British Columbia, 1973. (Although the adjective 'infinite finite' is semantically correct, as explained in [3], all subsequent authors have dropped 'finite' after the word 'infinite'.)
    • (1973) An Infinite Finite Element
    • Ungless, R.L.1
  • 8
    • 0001015803 scopus 로고
    • A note on the utility of a wave envelope approach in finite element duct transmission studies
    • [8] R.J. Astley and W. Eversman, A note on the utility of a wave envelope approach in finite element duct transmission studies, J. Sound Vib. 76 (1981) 595-601.
    • (1981) J. Sound Vib. , vol.76 , pp. 595-601
    • Astley, R.J.1    Eversman, W.2
  • 9
    • 0028976738 scopus 로고
    • On the use of variable order infinite wave envelope elements for acoustic radiation and scattering
    • [9] L. Cremers and K.R. Fyfe, On the use of variable order infinite wave envelope elements for acoustic radiation and scattering, J. Acoust. Soc. Am. 97(4) (1995) 2028-2040.
    • (1995) J. Acoust. Soc. Am. , vol.97 , Issue.4 , pp. 2028-2040
    • Cremers, L.1    Fyfe, K.R.2
  • 10
    • 0040830371 scopus 로고    scopus 로고
    • A radial expansion for the acoustic field exterior to a prolate or oblate spheroid
    • submitted
    • [10] R.L. Holford, A radial expansion for the acoustic field exterior to a prolate or oblate spheroid, J. Acoust. Soc. Am, submitted.
    • J. Acoust. Soc. Am
    • Holford, R.L.1
  • 11
    • 0032074453 scopus 로고    scopus 로고
    • Prolate and oblate spheroidal acoustic infinite elements
    • [11] D.S. Burnett and R.L. Holford, Prolate and oblate spheroidal acoustic infinite elements, Comput. Methods Appl. Mech. Engrg. 158 (1998) 117-142..
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.158 , pp. 117-142
    • Burnett, D.S.1    Holford, R.L.2
  • 12
    • 0039827588 scopus 로고
    • Convergence of the infinite element methods for the Helmholtz equation
    • Univ. of Texas at Austin, May
    • [12] L.F. Demkowicz and K. Gerdes, Convergence of the infinite element methods for the Helmholtz equation, Texas Inst. for Comp. and App, Math., Report 95-07, Univ. of Texas at Austin, May 1995.
    • (1995) Texas Inst. for Comp. and App, Math., Report 95-07
    • Demkowicz, L.F.1    Gerdes, K.2
  • 13
    • 0030286184 scopus 로고    scopus 로고
    • Solution of 3D-Laplace and Helmholtz equations in exterior domains using hp-infinite elements
    • [13] K. Gerdes and L.F. Demkowicz, Solution of 3D-Laplace and Helmholtz equations in exterior domains using hp-infinite elements, Comput. Methods Appl. Mech. Engrg. 137 (1996) 239-273.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.137 , pp. 239-273
    • Gerdes, K.1    Demkowicz, L.F.2
  • 15
    • 0039644027 scopus 로고    scopus 로고
    • The conjugated vs. the unconjugated infinite element method for the Helmholtz equation in exterior domains
    • Zurich, Switz., Research Report 96-11, July
    • [15] K. Gerdes, The conjugated vs. the unconjugated infinite element method for the Helmholtz equation in exterior domains, Eidgenossische Technische Hochschule, Zurich, Switz., Research Report 96-11, July 1996.
    • (1996) Eidgenossische Technische Hochschule
    • Gerdes, K.1
  • 18
    • 0039051791 scopus 로고    scopus 로고
    • Mapped spheroidal wave-envelope elements for unbounded wave problems
    • San Francisco, Aug.
    • [18] R.J. Astley and J.P. Coyette, Mapped spheroidal wave-envelope elements for unbounded wave problems, Proc. Fourth U.S. Nat. Congress Comp. Mech., San Francisco, Aug. 1997.
    • (1997) Proc. Fourth U.S. Nat. Congress Comp. Mech.
    • Astley, R.J.1    Coyette, J.P.2
  • 19
    • 0040235775 scopus 로고    scopus 로고
    • On the use of infinite elements and the DtN condition for solving large-scale problems in acoustics
    • San Francisco, Aug.
    • [19] M. Malhotra, A.A. Oberai and P.M. Pinsky, On the use of infinite elements and the DtN condition for solving large-scale problems in acoustics, Proc. Fourth U.S. Nat. Congress Comp. Mech., San Francisco, Aug. 1997.
    • (1997) Proc. Fourth U.S. Nat. Congress Comp. Mech.
    • Malhotra, M.1    Oberai, A.A.2    Pinsky, P.M.3
  • 20
    • 0040235725 scopus 로고
    • Transient infinite elements for acoustics and shock
    • DE-Vol. 84-2, ASME
    • [20] J.L. Cipolla, Transient infinite elements for acoustics and shock, DE-Vol. 84-2, 1995 Design Eng. Tech. Conf., Vol. 3 - Part B, ASME, 113-128 (1995).
    • (1995) 1995 Design Eng. Tech. Conf. , vol.3 , Issue.PART B , pp. 113-128
    • Cipolla, J.L.1
  • 21
    • 0002572611 scopus 로고
    • A transient infinite element for multi-dimensional acoustic radiation
    • DE-Vol. 84-2, ASME
    • [21] R.J. Astley, A transient infinite element for multi-dimensional acoustic radiation, DE-Vol. 84-2, 1995 Design Eng. Tech. Conf., Vol. 3 - Part B, ASME, 97-111 (1995).
    • (1995) 1995 Design Eng. Tech. Conf. , vol.3 , Issue.PART B , pp. 97-111
    • Astley, R.J.1
  • 23
    • 0004066046 scopus 로고
    • Academic Press, New York, Sn.
    • [23] Although it is not germane to this discussion, we may mention that, among all ellipsoids that surround a convex structure, K, there exists exactly one that has minimum volume. This ellipsoid is called the minimum ellipsoid or Loewner ellipsoid of K. [See H. Buseman, The Geometry of Geodesies (Academic Press, New York, 1955), Sn. 16.]
    • (1955) The Geometry of Geodesies , pp. 16
    • Buseman, H.1
  • 26
    • 0004026166 scopus 로고
    • Chapter 10. American Mathematical Society, Providence, RI
    • [26] M. Marden, Geometry of Polynomials, Chapter 10. (American Mathematical Society, Providence, RI, 1966).
    • (1966) Geometry of Polynomials
    • Marden, M.1
  • 28
    • 0031554692 scopus 로고
    • A simple impedance-infinite element for the finite element solution of the three-dimensional wave equation in unbounded domains
    • [28] L.F. Kallivokas, J. Bielak and R.C. MacCamy, A simple impedance-infinite element for the finite element solution of the three-dimensional wave equation in unbounded domains, Comput. Methods Appl. Mech. Engrg. 147 (1977) 235-262.
    • (1977) Comput. Methods Appl. Mech. Engrg. , vol.147 , pp. 235-262
    • Kallivokas, L.F.1    Bielak, J.2    MacCamy, R.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.