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Volumn 26, Issue 118, 1972, Pages 311-326

Block five diagonal matrices and the fast numerical solution of the biharmonic equation

Author keywords

Biharmonic boundary value problem; Biharmonic equation; Block elimination pro cedure; Block five diagonal matrix; Clamped cylindrical panel; Clamped elastic plate; Eigen values; Eigenfunctions; Factoring method; Perturbation expansion

Indexed keywords


EID: 84968468606     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1972-0312751-9     Document Type: Article
Times cited : (52)

References (14)
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  • 2
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    • On an alternating direction method for solving the plate problem with mixed boundary conditions
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    • (1960) J. Assoc. Comput. Mach , vol.7 , pp. 264-273
    • Conte, S.D.1    Dames, R.T.2
  • 3
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    • Buzbee, B.L.1    Golub, G.H.2
  • 4
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    • Vibration of rectangular plates by the Ritz method
    • D. Young, Vibration of rectangular plates by the Ritz method, J. Appl. Mech., 17, 1950, 448-453.
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    • Young, D.1
  • 5
    • 34347147824 scopus 로고
    • Die Biegungsschwingungen der Vierseitig Eingespannten Rechteckigen Platten
    • S. Iguchi, Die Biegungsschwingungen der Vierseitig Eingespannten Rechteckigen Platten, lng. Arch., 8, 1937, 11-25.
    • (1937) Lng. Arch , vol.8 , pp. 11-25
    • Iguchi, S.1
  • 8
    • 0008684904 scopus 로고
    • An asymptotic method for the study of the problem of eigenvalues for rectangular regions, in Problems of Continuum Mechanics (Muskhelishvili Anniversary Volume)
    • V. V. Bolotin, An asymptotic method for the study of the problem of eigenvalues for rectangular regions, in Problems of Continuum Mechanics (Muskhelishvili Anniversary Volume), SIAM, Philadelphia, Pa., 1961, 56-68.
    • (1961) SIAM, Philadelphia, Pa , pp. 56-68
    • Bolotin, V.V.1
  • 9
    • 34548057212 scopus 로고
    • On the vibrations of a clamped plate under tension
    • A. Weinstein, W. Z. Chien, On the vibrations of a clamped plate under tension, Quart. Appl. Math., 1, 1943, 61-68.
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  • 11
    • 53349089759 scopus 로고
    • On the modes of vibration of a ring shaped plate
    • R.J. Duffin, D. H. Shaffer, On the modes of vibration of a ring shaped plate, Bull. Amer. Math. Soc, 58, 1952, 652.
    • (1952) Bull. Amer. Math. Soc , vol.58 , pp. 652
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  • 13
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    • Beweis, dass unter allen homogenen Membranen von gleicher Flache und gleicher Spannung die kreisf rmige den tiefsten Grundton gibt
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    • Faber, G.1
  • 14


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.