A parallel triangular decomposition algorithm on a workstation network with application to structural vibration analysis

Computational Mechanics

Volumn 19, Issue 5, 1997, Pages 411-419

  Aoyama, Y ^a   Hirama, K ^a   Yagawa, G ^b  

^a Toyo Communication Equipment Company   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BANDWIDTH; COMPUTER WORKSTATIONS; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; LOCAL AREA NETWORKS; PARALLEL ALGORITHMS; PARALLEL PROCESSING SYSTEMS; RESPONSE TIME (COMPUTER SYSTEMS); VIBRATIONS (MECHANICAL);

PARALLEL TRIANGULAR DECOMPOSITION ALGORITHMS; STRUCTURAL VIBRATION ANALYSIS;

STRUCTURAL ANALYSIS;

EID: 0031121074     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050189     Document Type: Article

References (25)

1. Arima, A. et al. (1992): Advanced Computing. Baifuu-kan (in Japanese)
2. Earth, W.; Martin, R. S.; Wilkinson J. S. (1967) Calculation of eigenvalues of a symmetric tridiagonal matrix by the method of bisection. Numerische Mathematik 9, 386-393
3. Bathe, K. J. (1975): ADINA - a finite element program for automatic dynamic incremental nonlinear analysis. Report 82448-L, Acoustics and Vibration Laboratory, Department of Mechanical Engineering MIT, Cambridge MA
4. Bathe, K. J. et al. (1973): SAP IV - a structural analysis program for static and dynamic response of linear systems. Report EERC 73-11, College of Engineering, University of California, Berkley, CA
5. Bernstein, H. J.; Goldstein, M. (1984): Parallel implementation of bisection for the calculation of eigenvalues of tridiagonal symmetric matrices. Tech. Report 129, Courant Institute of Mathematical Sciences. New York: New York University, July 1984
6. Bostic, S. W.; Fulton, R. E. (1986): Implementation of the Lanczos Method for Structural Vibration Analysis on a Parallel Computer, Presented at the AIAA/ASME/ASCE/AHS 27th SDM Conference, San Antonio, TX, May 19-21, 1986. AIAA Paper No. 86-0930-CP
7. Fahmy, M. W.; Namini, A. H. (1994): A survey of parallel nonlinear dynamic analysis methodologies. Computers & Structures 53, 1033-1043
8. Farhat, C.; Wilson, E. (1988): A parallel active column equation solver. Computer & Structures 28, 289-304
9. George, A.; Heath, M. T.; Liu, J. (1985): Parallel Cholesky factorization on a multiprocessor. Technical Report ORLN-6124. Oak Ridge National Laboratory
10. Geradin, M. (1979): On the Lanczos Method for Solving Large Structural Eigenvalue Problems. ZAMM 59, 127-129
11. Goehlich, D.; Komzsik, L.; Fulton, R. E. (1989): Application of a parallel equation solver to static FEM problems. Computers & Structures 31, 121-129
12. Golub, G. H.; Underwood, R.; Wilkinson, J. H. (1972): The Lanczos Algorithm for the Symmetric Ax=IBx Problem. Rep.STAN.CS-72-270, Palo Alto, CA: Stanford Univ. Press
13. Gullum, J.; Willoughby, R. A.(1985): Lanczos Algorithm for Large Symmetric Eigenvalue Computations. Vol. 1 Theory. Boston: Birkhauser Boston Inc.
14. Jennings, A. (1977): Matrix Computation for Engineers and Scientists. New York: Wiley
15. Kasahara, M. (1989): Simulation 8, 34-42 (in Japanese)
16. Lanczos, C. (1950): An Iteration Method for the Solution of the Eigenvalue Problem of Linear Differential and Integral Operators. J. Res. Natl. Bureau of Standard 45, 255-282
17. MSC/NASTRAN Programmer's Manual 1986: Vol.3. Los Angels, CA: Mac Neal-Schwendeler Corp.
18. Paige, C. C. (1972): Accuracy and Effectiveness of the Lanczos Algorithm for the Symmetric Ax = 1Bx Problem. Rep. STAN-GS-72-270. Palo Alto, CA: Stanford University Press
19. Son, H. D. (1982): The Lanczos Algorithm for Solving Symmetric Linear System, Center for Pure & Applied Mathematics. University of California at Berkeley, PAM-74, April 1982
20. Trefftz, C.; Huang, C. C.; McKinley, P. K.; Li, T. Y.; Zeng, Z. (1994): Design and Performance Evaluation of a Distributed Eigenvalue Solver on a Workstation Cluster. Proceeding of International Conference on Distributed Computer System 14, 608-615
21. Weingarten, V. I.; Ramanathan, R. K.; Chen, C. N. (1983): Lanczos Eigenvalue Algorithm for Large Structures on a Minicomputer. Computers & Structures 16, 253-257
22. Yagawa, G. et al. (1990): Journal of the Japan Society of Mechanical Engineers A 56, 141-148 (in Japanese)
23. Yagawa, G.; Shioya, R. (1994): The Japan Society of Mechanical Engineers, The 72nd JSME Spring Annual Meeting VI, 37-44
24. Yagawa, G. (edited) (1992): Computrol 40, Korona (in Japanese)
25. Zienkiewicz, O. C.; Taylor, R. L. (1989): The Finite Element Method, 4th ed. London: McGraw-Hill