A multi-mesh, preconditioned conjugate gradient solver for eigenvalue problems in finite element models

Computers and Structures

Volumn 58, Issue 3, 1996, Pages 575-583

  Cho, Young ^a   Yong, Yook Kong ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; INTERPOLATION; ITERATIVE METHODS; PLATES (STRUCTURAL COMPONENTS); SHELLS (STRUCTURES); STIFFNESS MATRIX;

CHOLESKY FACTORIZATION; CONVERGENCE FAILURE; DIRECT (LANCZOS) METHOD; PRECONDITIONED CONJUGATE GRADIENT METHOD; SPARSITY PATTERN;

ALGORITHMS;

EID: 0030567151     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00157-C     Document Type: Article

References (10)

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3. H.-R. Schwarz, Eigenvalue problems and preconditioning. ISNM 96, 191-208 (1991).
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6. W. Hackbusch, Multi-Grid Methods and Applications Springer, Berlin (1985).
7. T. Hwang and I. D. Parsons, A multigrid method for the generalized symmetric eigenvalue problem; Part I. Int. J. Numer. Meth. Engng 35, 1663-1676 (1992).
8. T. Hwang and I. D. Parsons, Multigrid solution procedures for structural dynamics eigenvalue problems. Comput. Mech. 10, 247-262 (1992).
9. T. A. Manteuffel, Shifted incomplete Cholesky factorization. Sparse Matrix Proc., pp. 41-61. SIAM (1978).
10. G. H. Golub and C. F. Van Loan, Matrix Compulations. John Hopkins University Press (1983).