Family of implicit partitioned time integration algorithms for parallel analysis of heterogeneous structural systems

Computational Mechanics

Volumn 24, Issue 6, 2000, Pages 463-475

  Gumaste, U A ^a   Park, K C ^a   Alvin, K F ^b  

^a UNIVERSITY OF COLORADO   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; DEFORMATION; DYNAMICS; EQUATIONS OF MOTION; INTEGRATION; LAGRANGE MULTIPLIERS; NUMERICAL METHODS; PARALLEL PROCESSING SYSTEMS;

IMPLICIT PARTITIONED TIME INTEGRATION ALGORITHMS; NEWTON'S LAW;

STRUCTURAL ANALYSIS;

EID: 0033881197     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050006     Document Type: Article

References (26)

1. Belytschko T, Mullen R (1978) Stability of explicit-implicit mesh partitions in time integration. Int. J. Num. Meth. Eng. 12:1575-1586
2. Chen Po-Shu (1997) Scalable substructuring methods for high performance structural analysis. PhD Thesis, Department of Aerospace Engineering Sciences, University of Colorado, Boulder, CO
3. Farhat C, Roux F-X (1991) A method of finite element tearing and interconnecting and its parallel solution algorithm. Int. J. Num. Meth. Eng. 32:1205-1227
4. Farhat C, Roux F-X (1994) Implicit parallel processing in structural mechanics. Computational Mechanics Advances, 2, pp. 1-124, North-Holland, Amsterdam
5. Farhat C, Crivelli L, Roux F-X (1994) A transient FETI methodology for large-scale implicit computations in structural mechanics. Int. J. Num. Meth. Eng. 37:1945-1975
6. Farhat C, Chen P-S, Mandel J (1995) A scalable Lagrange multiplier based domain decomposition method for time dependent problems. Int. J. Num. Meth. Eng. 38:3831-3854
7. Farhat C, Mandel J (1998) The two-level FETI method for static and dynamic plate problems Part I: An optimal iterative solver for biharmonic systems. Comp. Meth. Appl. Mech. Eng. 155:129-151
8. Farhat C, Chen P-S, Mandel J, Roux F-X (1998) The two-level FETI method Part II: Extension to shell problems, parallel implementation and performance results. Comp. Meth. Appl. Mech. Eng. 155:153-179
9. Fedorenko RP (1962) A relaxation method for solving elliptic difference equations. U.S.S.R. Comput. Math. Math. Phys. 1:1092-1096
10. Felippa CA, Park KC (1980) Staggered transient analysis procedures for coupled mechanical systems. Comp. Meth. Appl. Mech. Eng. 24:61-111
11. Felippa CA, Park KC (1997a) A direct flexibility method. Comp. Meth. Appl. Mech. Eng. 149:319-337
12. Felippa CA, Park KC (1997b) Application of dynamic direct flexibility procedures for parallel structural eigenanalysis, in preparation
13. Henderson HV, Searle SR (1981) On deriving the inverse of a sum of matrices, SIAM Review 23(1):53-60
14. Hughes TJR, Liu WK (1978) Implicit-explicit finite elements in transient analysis. J. Appl. Mech. 45:371-378
15. Justino MR Jr, Park KC, Felippa CA (1997) An algebraically partitioned FETI method for parallel structural analysis: Implementation and numerical performance evaluation. Int. J. Num. Meth. Eng. 40:2739-2758
16. LeTallec P (1994) Domain decomposition methods in computational mechanics. Comput. Mech. Advances 121-220
17. Mandel J (1993) Balancing domain decomposition. Commun. Num. Meth. Eng. 9:233-241
18. Park KC, Felippa CA, DeRuntz JA (1977) Stabilization of staggered solution procedures for fluid-structure interaction analysis. In: Belytschko T, Geers TL (eds) Computational Methods for Fluid-Structure Interaction Problems. ASME, AMD Vol. 26, New York, N.Y., pp. 95-124
19. Park KC (1980) Partitioned transient analysis procedures for coupled-field problems: stability analysis. J. Appl. Mech. 47: 370-376
20. Park KC, Felippa CA (1983) Partitioned analysis of coupled systems. In: Belytschko T, Hughes TJR (eds) Computational Methods for Transient Analysis. Elsevier Pub. Co., pp. 157-219
21. Park KC, Felippa CA (1984) Recent developments in coupled-field analysis methods. In: Lewis RW et al (eds) Numerical Methods in Coupled Systems. John Wiley & Sons, pp. 327-352
22. Park KC, Justino MR Jr, Felippa CA (1997) An algebraically partitioned FETI method for parallel structural analysis: Algorithm description. Int. J. Num. Meth. Eng. 40:2717-2737
23. Park KC, Felippa CA (1998) A variational framework for solution method developments in structural mechanics. J. Appl. Mech. 65/1:242-249
24. Rixen D, Farhat C (1997) A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems, Center for Aerospace Structures, Report CU-CAS-97-18, University of Colorado at Boulder, December 1997
25. Southwell RV (1940) Relaxation Methods in Engineering Science, Oxford University Press, Oxford
26. de Veubeke, Fraejis BM (1973) Matrix structural analysis. In: Geradin M (ed) BM Fraeijs de Veubeke Memorial volume of Selected papers. Sithoff & Noordhoff, 1980, pp. 509-567