On the computational efficiency and implementation of block-iterative algorithms for nonlinear coupled problems

Engineering Computations (Swansea, Wales)

Volumn 13, Issue 6, 1996, Pages 4-30

  Cervera, M ^a   Codina, R ^a   Galindo, M ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ALGORITHMS; COMPUTATIONAL COMPLEXITY; COMPUTER SOFTWARE; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; FLUID STRUCTURE INTERACTION; ITERATIVE METHODS; ONLINE SYSTEMS; PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; INCOMPRESSIBLE FLOW; MATRIX ALGEBRA; NUMERICAL ANALYSIS; THERMOANALYSIS;

BLOCK ITERATIVE LOOPS; NONLINEAR COUPLED PROBLEMS; ALGEBRAIC EQUATIONS; BLOCK-ITERATIVE ALGORITHMS; PROCESSOR EMULATOR;

COMPUTATIONAL FLUID DYNAMICS; NONLINEAR EQUATIONS;

EID: 0030372743     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644409610128382     Document Type: Article

References (14)

1. Zienkiewicz, O.C. and Taylor, R.L., The Infinite Element Method, McGraw-Hill, London, 1991.
2. Crisfield, M.A., Non-linear Finite Element Analysis of Solids and Structures. Volume 1: Essentials, John Wiley, Chichester, 1991.
3. Hughes, T.J.R., The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Prentice-Hall International, Hemel Hempstead, 1987.
4. Felippa, C.A. and Park, K.C., "Staggered transient analysis procedures for coupled mechanical systems: formulation", Computer Methods in Applied Mechanics and Engineering, Vol. 24 No. 2, 1980, pp. 61-111.
5. Zienkiewicz, O.C., Paul, D.K. and Chan, A.H.C., "Unconditionally stable staggered solution procedures for soil-pore fluid interaction analysis", International Journal of Numerical Methods in Engineering, Vol. 26 No. 5, 1986, pp. 1669-73.
6. Chan, A.H.C., "A unified finite element solution to static and dynamic problems of geomechanics", PhD thesis, University of Wales, 1988.
7. Galindo, M., "Una metodología para el análisis numérico del comportamiento resistente no lineal de presas de hormigón con cargas estáticas y dinámicas", PhD thesis, Technical University of Catalonia, Barcelona, 1993.
8. Wisniewski, K., Turska, E., Simoni, L. and Schrefler, B.A., "Error analysis of staggered predictor-corrector scheme for consolidation porous media", The Finite Element Method in the 1990s, Springer-Verlag/CIMNE, Barcelona, 1991.
9. Galindo, M., Cervera, M. and Oliver, J., "Efficient solution schemes for fluid-structure-soil interaction problems", Proceedings of the 10th World Congress on Earthquake Engineering, 1991.
10. Paul, D.K., "Efficient dynamic solutions for single and coupled multiple field problems", PhD thesis, University of Wales, 1982.
11. Hughes, T.J.R. and Liu, W.K., "Implicit-explicit finite elements in transient analysis", Journal of Applied Mechanical Engineering, Vol. 45 No. 2, 1978, pp. 371-4, 375-8.
12. Codina, R., "A finite element model for incompressible flow problems", PhD thesis, Technical University of Catalonia, Barcelona, 1992.
13. Cuvelier, C., Segal, A. and van Steenhoven, A., Finite Element Methods and Navier-Stokes Equations, Reidel, Dordrecht, 1986.
14. Books, A.N. and Hughes, T.J.R., "Streamline upwind/Petrov-Galerkin formulations for converted dominated flows with particular emphasis on the incompressible Navier-Stokes equation", Computer Methods in Applied Mechanics and Engineering, Vol. 32 No. 2, 1982, pp. 199-259.