The effect of discretization and boundary conditions on the convergence rate of the dynamic relaxation method

American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP

Volumn 354, Issue , 1997, Pages 105-110

  Metzger, Don R ^a   Sauvé, Richard G ^a  

^a Ontario Hydro   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; ITERATIVE METHODS; OPTIMIZATION;

DYNAMIC RELAXATION (DR) METHOD;

STRESS RELAXATION;

EID: 0030674935     PISSN: 0277027X     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (8)

1. Day, A.S., "An Introduction to Dynamic Relaxation", The Engineer, Vol. 219, pp. 218-221, 1965.
2. Wood, W.L., "Comparison of Dynamic Relaxation with Three Other Iterative Methods", The Engineer, Vol. 224, pp. 683-687, 1967.
3. Brew, J.S., Brotton, D.M., "Non-linear Structural Analysis by Dynamic Relaxation", International Journal of Numerical Methods in Engineering, Vol. 3, pp. 436-483, 1971.
4. Pica, A., Hinton, E., "Transient and Pseudo-Transient Analysis of Mindlin Plates", International Journal of Numerical Methods in Engineering, Vol. 15, pp. 189-208, 1980.
5. P. Underwood, "Dynamic Relaxation", Computational Methods for Transient Analysis, Vol. 1, pp. 245-265, 1983.
6. Sauvé, R.G., Metzger, D.R., "Advances in Dynamic Relaxation Techniques for Nonlinear Finite Element Analysis, Journal of Pressure Vessel Technology, Trans. ASME, Vol. 117, pp. 170-176, 1995.
7. Smith, G.D., "Numerical Solution of Partial Differential Equations", Oxford University Press, London, 1969.
8. Sauvé, R.G., "H3DMAP Version 5.2 - A General Three Dimensional Finite Element Computer Code for Linear and Nonlinear Analysis of Structures", Ontario Hydro Research Division Report No. 92-256-K, Revision 2, 1993.