Hybrid time-finite-elements with time-step-adaption by discontinuity control

Computational Mechanics

Volumn 17, Issue 6, 1996, Pages 392-397

  Ruge, P ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DEGREES OF FREEDOM (MECHANICS); ERRORS; FINITE ELEMENT METHOD; MATRIX ALGEBRA; NONLINEAR SYSTEMS; OSCILLATORS (MECHANICAL); TIME DOMAIN ANALYSIS; VARIATIONAL TECHNIQUES;

STRUCTURAL DYNAMICS; TIME FINITE ELEMENTS; TIME STEP CONTROL;

DYNAMICS;

EID: 0030128535     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00363982     Document Type: Article

References (10)

1. Aharoni, D.; Bar-Yoseph, P. 1992: Mixed finite element formulations in the time domain for solution of dynamic problems. Comp. Mech., Vol 9: 359-374.
2. Bailey, C. D. 1975: Application of Hamilton's law of varying action. AIAA, Vol 13: 1154-1157
3. Bailey, C. D. 1982: Hamilton's principle and the calculus of variations. Acta Mechanica, Vol. 44: 49-57.
4. Baruch, M.; Riff, R. 1982: Hamilton's principle, Hamilton's law - correct formulations. AIAA, Vol. 20: 687-692
5. Baruch, M.; Riff, R. 1984: Time finite element discretization of Hamilton's law of varying action. AIAA, Vol. 22: 1310-1318
6. Borri, M.; Bottasso, C. 1993: A general framework for interpreting time finite element formulations. Comp. Mech., Vol. 13: 133-142
7. Borri, M.; Mello, F.; Atluri, S. N. 1990: Variational approaches for dynamics and time-finite-elements: numerical studies. Comp. Mech., Vol. 7: 49-76.
8. Leitmann, G. 1963: Some remarks on Hamilton's principle. J. Appl. Mech., Vol. 2: Trans. ASME, 623-625
9. Ruge, P.; Cai, J. 1991: Finite Zeitübersetzung mit Extrapolation in der nichtlinearen Strukturdynamik. Ingenieur-Archiv, Vol. 61: 67-78.
10. Smith, D. R.; Smith, C. V. Jr. 1974: When is Hamilton's principle an extremum principle? AIAA, Vol. 12: 1573-1576