An a priori bound for automated multilevel substructuring

SIAM Journal on Matrix Analysis and Applications

Volumn 28, Issue 2, 2006, Pages 386-397

  Elssel, Kolja ^a   Voss, Heinrich ^a  

^a HAMBURG UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

AMLS; Eigenvalues; Minmax characterization; Nonlinear eigenproblem; Substructuring

Indexed keywords

COMPUTATIONAL COMPLEXITY; EIGENVALUES AND EIGENFUNCTIONS; FREQUENCY RESPONSE; ITERATIVE METHODS; MATRIX ALGEBRA; OPTIMIZATION;

AUTOMATED MULTILEVEL SUBSTRUCTURING (AMLS); MINMAX CHARACTERIZATION; NONLINEAR EIGENPROBLEM; PRIORI BOUND; SUBSTRUCTURING;

PROBLEM SOLVING;

EID: 34247331484     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/040616097     Document Type: Article

References (14)

1. Z. BAI AND B.-S. LIA, Towards an optimal substructuring method for model reduction, in Proceedings of PARA'04, Lyngby, Denmark, 2004, Lecture Notes in Comput. Sci. 3732, Springer-Verlag, Berlin, 2005, pp. 276-285.
2. J. K. BENNIGHOF AND M. F. KAPLAN, Frequency sweep analysis using multi-level substructuring, global modes and iteration, in Proceedings of the 39th Annual AIAA Structural Dynamics and Materials Conference, Long Beach, CA, 1998.
3. J. K. BENNIGHOF, M. F. KAPLAN, M. B. MULLER, AND M. KIM, Meeting the NVH computational challenge: Automated multi-level substructuring, in Proceedings of the 18th International Modal Analysis Conference, San Antonio, TX, 2000, pp. 909-915.
4. J. K. BENNIGHOF AND C. K. KIM, An adaptive multi-level substructuring method for efficient modeling of complex structures, in Proceedings of the 33rd Annual AIAA Structural Dynamics and Materials Conference, Dallas, TX, 1992, AIAA, Reston, VA, 1992, pp. 1631-1639.
5. J. K. BENNIGHOF AND R. B. LEHOUCQ, An automated multilevel substructuring method for eigenspace computation in linear elastodynamics, SIAM J. Sci. Comput., 25 (2004), pp. 2084-2106.
6. R. R. CRAIG, JR., AND M. C. C. BAMPTON, Coupling of substructures for dynamic analysis, J. AIAA, 6 (1968), pp. 1313-1319.
7. B. HENDRICKSON AND R. LELAND, The Chaco User's Guide: Version 2.0., Technical Report SAND94-2692, Sandia National Laboratories, Albuquerque, NM, 1994.
8. W. C. HURTY, Vibration of structure systems by component-mode synthesis, J. Engrg. Mech. Div., ASCE, 86 (1960), pp. 51-69.
9. M. F. KAPLAN, Implementation of Automated Multilevel Substructuring for Frequency Response Analysis of Structures, Ph.D. thesis, Department of Aerospace Engineering & Engineering Mechanics, University of Texas at Austin, Austin, TX, 2001.
10. G. KARYPIS AND V. KUMAR, METIS. A software package for partitioning unstructured graphs, partitioning meshes, and computing fill-reducing orderings of sparse matrices, Version 4.0, Technical report, University of Minnesota, Minneapolis, MN, 1998.
11. A. KROPP AND D. HEISERER, Efficient broadband vibro-acoustic analysis of passenger car bodies using an FE-based component mode synthesis approach, J. Comput. Acoustics, 11 (2003), pp. 139-157.
12. H. VOSS, An error bound for eigenvalue analysis by nodal condensation, in Numerical Treatment of Eigenvalue Problems, Internat. Ser. Numer. Math., J. Albrecht, L. Collatz, and W. Velte, eds., Birkhäuser, Basel, 1984, Vol. 3, pp. 205-214.
13. H. VOSS AND B. WERNER, A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems, Math. Methods Appl. Sci., 4 (1982), pp. 415-424.
14. C. YANG, W. GAO, Z. BAI, X. S. LI, L.-Q. LEE, P. HUSBANDS, AND E. NG, An algebraic sub-structuring method for large-scale eigenvalue calculations, SIAM J. Sci. Comput., 27 (2005), pp. 873-892.