Realistic eigenvalue bounds for the galerkin mass matrix

IMA Journal of Numerical Analysis

Volumn 7, Issue 4, 1987, Pages 449-457

  Wathan, A J ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000021772     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/7.4.449     Document Type: Article

References (14)

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2. Fox, R. L., & Stanton, E. L. 1968 Developments in structural analysis by direct energy minimisation. AIAA J. 6, 1036-1042.
3. Fried, I. 1972a Bounds on the extremal eigenvalues of the finite element stiffness and mass matrices and their spectral condition number. J. Sound and Vibration 22, 407-418.
4. Fried, I. 1972b Condition of finite element matrices generated from nonuniform meshes. AIAA Journal 10, 219-221.
5. 2and C condition numbers of the finite element stiffness and mass matrices, and the pointwise convergence of the method. Proceedings of Conference on the Mathematics of Finite Elements and Applications (J. R. Whiteman, Ed.), Brunei University, 18-20 April 1972. Academic Press.
6. Fried, I. 1973 Bounds on the spectral and maximum norms of the finite element stiffness, flexibility and mass matrices. Int. J. Solids Structures 9, 1013-1034.
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9. Miller, K. 1985 Private communication.
10. Nour-Omid, B., & Parlett, B. N. 1983 Element preconditioning. University of California, Berkeley. Report PAM-103.
11. Priestley, A. 1985 Private communication.
12. Strang, G., & Fix, G. J. 1973 An Analysis of the Finite Element Method. Prentice-Hall.
13. Wathen, A. J. 1986 Mesh-independent spectra in the moving finite element equations. SIAM J. numer. Anal. 23 (4), 797-814.
14. Wathen, A. J., & Baines, M. J. 1985 On the structure of the moving finite element equations. IMA J. numer. Anal. 5, 161-182.