Numerical techniques for linear and nonlinear eigenvalue problems in the theory of elasticity

ANZIAM Journal

Volumn 46, Issue 5 ELECTRONIC SUPPL., 2004, Pages

  Muradova, Aliki D ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70549087888     PISSN: 14461811     EISSN: 14468735     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (9)

1. E. L. Allgower and K. Georg. Numerical continuation methods. Springer, Berlin, 1990.
2. C. S. Chien, S. L. Chang and Z. Mei. Tracing the buckling of a rectangular plate with the Block GMRES method. J. of Comput. and Appl. Math., 136, pages 199-218, 2001.
3. C. S. Chien, S. Y. Gong and Z. Mei. Mode jumping in the von Kármán equations. SIAM J. Sci. Comput., volume 22, No 4, pages 1354-1385, 2000.
4. P. Ciarlet and P. Rabier. Les equations de von Kármán. Springer-Verlag, Berlin. Heidelberg, New York, 1980.
5. K. Dossou and R. Pierre. A Newton-GMRES approach for the analysis of the postbuckling behavior of the solutions of the von Kármán equations. SIAM J. Sci. Comput., volume 24, No 6, pages 1994-2012, 2003.
6. D. L. Harrar and M. R. Osborne. Computing eigenvalues of ordinary differential equations. ANZIAM J., 44(E), pages C313-C334, 2003.
7. E. J. Holder and D. G. Schaeffer. Boundary conditions and mode jumping in the von Kármán's equations. SIAM, J. Math. Anal., 15, pages 446-458, 1984.
8. D. G. Schaeffer and M. Golubitsky. Boundary conditions and mode jumping in the buckling of a rectangular plate. Comm. Math. Phys., 69, pages 209-236, 1979.
9. T. S. Vashakmadze. The theory of anisotropic elastic plates. Kluwer Academic Publishers, Dordrecht, Boston, London, 1999.