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On the convergence of Ritz pairs and refined Ritz vectors for quadratic eigenvalue problems

✍ Scribed by Tsung-Ming Huang, Zhongxiao Jia, Wen-Wei Lin

Book ID
120964848
Publisher
Springer Netherlands
Year
2013
Tongue
English
Weight
615 KB
Volume
53
Category
Article
ISSN
0006-3835

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πŸ“œ SIMILAR VOLUMES

On optimal approximations in the eigenva
On optimal approximations in the eigenvalue problem for the Ritz and Bubnov-Galerkin methods
✍ S.N. Kukudzhanov πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science βš– 510 KB

To sum up, 1) for the selfadjoint case the new method is preferable to the m.d. method, since it converges more rapidly for the same volume of computational work; 2) in the non-~elfadjoint case, our series of counter-examples shows that the new method is not to be recommended. REFERENCES

Numerical convergence of simple and orth
Numerical convergence of simple and orthogonal polynomials for the unilateral plate buckling problem using the Rayleigh–Ritz method
✍ S. T. Smith; M. A. Bradford; D. J. Oehlers πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 158 KB πŸ‘ 1 views

Unilateral buckling is a contact problem whereby buckling is confined to take place in only one lateral direction. For plate structures, this can occur when a thin steel plate is juxtaposed with a rigid concrete medium and the steel may only buckle locally away from the concrete core. This paper inv