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A Mixed Finite Element Method for Fourth Order Eigenvalue Problems

  1. Neela Nataraj*

Article first published online: 1 DEC 2004

DOI: 10.1002/pamm.200410160

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PAMM

PAMM

Volume 4, Issue 1, pages 358–359, December 2004

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How to Cite

Nataraj, N. (2004), A Mixed Finite Element Method for Fourth Order Eigenvalue Problems. Proc. Appl. Math. Mech., 4: 358–359. doi: 10.1002/pamm.200410160

Author Information

  1. Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India

*Phone: +91-22-25767468, +91 - 22 - 2572 3480

Publication History

  1. Issue published online: 1 DEC 2004
  2. Article first published online: 1 DEC 2004

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References

  • [1]
    Neela Nataraj, A Mixed Finite Element Method for Fourth Order Eigenvalue Problems Paper communicated for publication (2004).
  • [2]
    C. Canuto, Eigenvalue Approximation by Mixed Methods, R.A.I.R.O. Anal. Numer., R3,12 , 27-50 (1978).
  • [3]
    S. Balasundaram and P. K. Bhattacharyya, A Mixed Finite Element Method for Fourth Order Elliptic Equations with Variable Coefficients, Comput. Math. Appl., 10 , 245-256 (1984).
  • [4]
    P. K. Bhattacharyya and Neela Nataraj, Isoparametric Mixed Finite Element Approximation of Eigenvalues and Eigenvectors of Fourth Order Eigenvalue Problems with Variable Coefficients, Modélisation Mathématique et Analyse Numérique, 36 , 1, 1-32 (2002).
  • [5]
    D. J. Gorman, Accurate Free Vibration Analysis of Clamped Orthotropic Plates by the Method of Superposition, Journal of Sound and Vibration, 140 , 3, 319-411 (1990).
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