Une approche parallèle et multi-échelles en calcul des structures : exemples et performances

Bibliographie

• [BRA 86] Bramble J. H., Pasciak J. E., Schatz A. H., The construction of preconditioners for elliptic problems by substructuring, I, Math. Comp., vol. 47, n° 175, 1986, p. 103–134.
   Google Scholar
• [CHA 97] Champaney L., Cognard J.-Y., Dureisseix D., Ladevèze P., Large scale applications on parallel computers of a mixed domain decomposition method, Computational Mechanics, n° 19, 1997, p. 253–263.
   Google Scholar
• [COG 96] Cognard J.-Y., Dureisseix D., Ladevèze P., Lorong PH., Expérimentation d’une approche parallèle en calcul de structures. Revue Européenne des Éléments Finis, vol. 5,n° 2, 1996, p. 197–220.
   Google Scholar
• [DUF 86] Duff I. S., Parallel implementation of multifrontal schemes. Parallel Computing, vol. 3, 1986, p. 192–204.
   Google Scholar
• [DUR 96] Dureisseix D., Ladevèze P., Parallel and multi-level strategies for structural analysis. Proceedings of the Second European Conference on Numerical Methods in Engineering, éd. par Dèsidèri J.-A., p. 599–604, Wiley, Septembre 1996.
   Google Scholar
• [DUR 97] Dureisseix D., Une approche multi-échellcs pour des calculs de structures sur ordinateurs à architecture parallèle, Thèse, ENS de Cachan, Janvier 1997.
   Google Scholar
• [ESC 94] Escaig Y., Touzot G., Vayssade M., Parallelization of a multilevel domain decomposition method, Computing Systems in Engineering, vol. 5, n° 3, 1994, p. 253–263.
   Google Scholar
• [FAR 91 ] Farhat C, Roux F.-X., A method of finite element tearing and interconnecting and its parallel solution algorithm, International Journal for Numerical Methods in Engineering, vol. 32, 1991, p. 1205–1227.
   Google Scholar
• [FAR 94a] Farhat C, Mandel J., Roux F.-X., Optimal convergence properties of the FETI domain decomposition method, Computer Methods in Applied Mechanics and Engineering, vol. 115, 1994, p. 365–385.
   Google Scholar
• [FAR 94b] Farhat C., Roux F.-X., Implicit parallel processing in structural mechanics, Computational Mechanics Advances, éd. par Oden J. Tinsley, North-Holland, Juin 1994.
   Google Scholar
• [GLO 90] Glowinski R., Le Tallec P., Augmented lagrangian interpretation of the nonoverlapping Schwarz alternating method, Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, éd. par Chan T. F., Glowinski R., Pénaux J., Widlund O. B., p. 224–231, Philadelphia. 1990.
   Google Scholar
• [HAC 81] Hackbush W., Trottenberg U., Multigrid methods, Springer Verlag, 1981, Lecture Notes in Mathematics, volume 960.
   Google Scholar
• [LAD 85] Ladevèze J., Algorithmes adaptés aux calculs vectoriel et parallèle pour des méthodes de décomposition de domaines, Actes du 3e colloque Tendances Actuelles en Calcul de Structures, éd. par Grellier J. P., Campel G. M., p. 893–907, Bastia, Novembre 1985.
   Google Scholar
• [LAD 92] Ladevèze P., Lorong Ph., A large time increment approach with domain decomposition technique for mechanical non linear problems, Comput. Meths. Appl. Sc. Engng., éd. par Glowinski R., INRIA, p. 569–578, New York, 1992.
   Google Scholar
• [LAD 96] Ladevèze P., Mécanique non-linéaire des structures — Nouvelle approche et méthodes de calcul non incrémentales, Paris, Hermès, 1996.
   Google Scholar
• [Le 94] Le Tallec P., Domain decomposition methods in computational mechanics, Computational Mechanics Advances, North-Holland, 1994.
   Google Scholar
• [LIO 90] Lions P.-L., On the Schwarz alternating method III: a variant for nonoverlapping subdomains, Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, éd. par Chan T. F., Glowinski R., Périaux J., Widlund O. B., p. 202–223, Philadelphia, 1990.
   Google Scholar
• [MAN 93] Mandel. J., Balancing domain decomposition, Communications in Applied Numerical Methods, vol. 9, 1993, p. 233–241.
   Google Scholar
• [N00 97] Noor A. K., New computing systems and future high performance computing environment and their impact on structural analysis and design, Computers & Structures, vol. 64, n° 1–4, 1997, p. 1–30.
   Google Scholar
• [PAR 90] Parsons I. D., Hall J. F., The multigrid method in solid mechanics: part I— algorithm description and behaviour, International Journal for Numerical Methods in Engineering, vol. 29, 1990, p. 719–737.
   Google Scholar
• [SMI 91] Smith B. F., A domain decomposition algorithm for elliptic problems in three dimensions, Num. Math., vol. 60, 1991, p. 219–234.
   Google Scholar
• [VER 88] Verpeaux P., Charras T., Millard A., Castem 2000: une approche moderne du calcul des structures, Calcul des Structures et Intelligence Artificielle, éd. par Fouet J.-M., Ladevèze P., Ohayon R., p. 261–271, Pluralis, 1988.
   Google Scholar
• [YAG 93] Yagawa G., Yoshioka A., Yoshimura S., Soneda N., A parallel finite element method with a supercomputer network, Computers & Structures, vol. 47, 1993, p. 407–418.
   Google Scholar
• [ZIE 83] Zienkiewicz O. C, De S. R. Gago J. P., Kelly D. W., The hierarchical concept in finite element analysis, Computers & Structures, vol. 16, n° 1–4, 1983, p. 53–65.
   Google Scholar