Concept de zoom adaptatif en architecture multigrille locale ; Étude comparative des méthodes L.D.C., F.A.C. ET F.I.C

Mathematical Modelling and Numerical Analysis

Volumn 30, Issue 1, 1996, Pages 39-82

  Khadra, K ^a,b   Angot, Ph ^c   Caltagirone, J P ^a   Morel, P ^b  

^a Ecole Nationale Superieure de Chimie et de Physique de Bordeaux   (France)

^b UNIVERSITÉ BORDEAUX 1   (France)

^c AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347510846     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an/1996300100391     Document Type: Article

References (34)

1. Ph. ANGOT et J. P. CALTAGIRONE, 1988, Homogénéisation numérique en thermique des structures hétérogènes périodiques, Actes EUROTHERM no 4, Nancy, pp. 122-126.
2. Ph. ANGOT, 1989, Contribution à l'étude des transferts thermiques dans des systèmes complexes ; Application aux composants électroniques, Thèse de Doctorat de l'Université Bordeaux I, Spécialité Mécanique.
3. Ph. ANGOT and J. P. CALTAGIRONE, 1990, New graphical and computational architecture concept for numerical simulation on supercomputers, Proc. 2-nd World Congress on Computational Mechanics, Stuttgart, pp. 973-976.
4. Ph. ANGOT, J. P. CALTAGIRONE et K. KHADRA, 1992, Une méthode adaptative de raffinement local : la Correction du Flux à l'Interface, C. R. Acad. Sci. Paris, 315, Série I, pp. 739-745.
5. Ph. ANGOT, J. P. CALTAGIRONE, K. KHADRA et P. MOREL, 1992, Concept de zoom en architecture de calcul ; Etude comparative de trois méthodes adaptatives de raffinement local : L.D.C., F.A.C. et F.I.C., Rapport interne IMST 92-04, juin.
6. Ph. ANGOT, 1994, Parallel multi-level and domain decomposition methods, Calculateurs parallèles, L.T.C.P., 6, pp. 9-14.
7. Ph. ANGOT et M. LAUGIER, 1994, La methode F.I.C. de raccordement conservatif de sous-domaines emboîtés pour un modèle de circulation océanique, C. R. Acad. Sci. Paris, 319, Série II, pp. 993-1000.
8. Ph. ANGOT and M. LAUGIER, 1995, Conservative matching of non-conforming grids on nested subdomains ; Application to an ocean circulation model, Comput. Meth. Appl. Mech. Engrg., soumis.
9. D. BAI and A. BRANDT, 1987, Local mesh refinement multilevel techniques, SIAM J. Sci. Stat. Comput., 8, pp. 109-134.
10. R. E. BANK and A. WEISER, 1985, Some a posteriori error estimates for elliptic partial differential equations, Math. Comp., 44, pp. 283-301.
11. R. E. BANK, 1986, A posteriori error estimates, adaptive local mesh refinement and multigrid iteration, Lecture Notes in Mathematics, W. Hackbusch and U. Trottenberg, eds., Springer-Verlag, 1228, pp. 7-23.
12. R. E. BANK, T. F. DUPONT and H. YSERENTANT, 1988, The hierarchical basis multigrid methods, Numer. Math., 52, pp. 427-458.
13. M. J. BERGER and J. OLIGER, 1984, Adaptive mesh refinement for hyperbolic partial differential equations, J. Comput. Phys., 53, pp. 484-512.
14. C. BERNARDI, Y. MADAY and A. PATERA, 1989, A new nonconforming approach to domain decomposition : the mortar element method, Nonlinear Partial Differential Equations and their Applications, H. Brezis and J. L. Lions, eds., Pitman Research.
15. P. E. BJORSTAD and O. B. WIDLUND, 1986, Iterative methods for the solution of elliptic problems on regions partitioned into substructures, SIAM J. Numer. Anal., 23, pp. 1097-1120.
16. J. H. BRAMBLE, J. E. PASCIAK and A. H. SCHATZ, 1986, An iterative method for elliptic problems on regions partitioned into substructures, Math. Comp., 46, pp. 361-369.
17. J. H. BRAMBLE, R. E. EWING, J. E. PASCIAK and A. H. SCHATZ, 1988, A preconditioning technique for the efficient solution of problems with local grid refinement, Comput. Meth. Appl. Mech. Engrg., 67, pp. 149-159.
18. J. H. BRAMBLE, J. E. PASCIAK and J. Xu, 1990, Parallel multilevel preconditioners, Math. Comp., 55, pp. 1-22.
19. A. BRANDT, 1973, Multi-Level Adaptive Techniques (MLAT) for fast numerical solution to boundary value problems, Lecture Notes in Physics, H. Cabannes and R. Temam, eds., Springer-Verlag, 18, pp. 82-89.
20. A. BRANDT, 1977, Multi-level adaptive solution to boundary-value problems, Math. Comp., 31, pp. 333-390.
21. J. P. CALTAGIRONE, K. KHADRA et Ph. ANGOT, 1995, Sur une methode de raffinement local multigrille pour la résolution des équations de Navier-Stokes, C. R. Acad. Sci. Paris, 320, Série IIb, pp. 295-302.
22. M. EL GANAOUI, 1993, Etude de schémas multigrilles adaptatifs pour un problème d'advection-diffusion, D.E.A. de Mécanique, Université Aix-Marseille II, juillet.
23. W. HACKBUSCH and U. TROTTENBERG, 1982, eds., Multigrid Methods, Lecture Notes in Mathematics, 960, Springer-Verlag.
24. W. HACKBUSCH, 1984, Local Defect Correction Method and Domain Decomposition Techniques, in Defect Correction Methods, Theory and Applications, K. Böhmer and H. J. Stetler, eds., Computing Supplementum, Springer-Verlag, 5, pp. 89-113.
25. W. HACKBUSCH, 1985, Multi-Grid Methods and Applications, Series in Computational Mathematics, Springer-Verlag.
26. K. KHADRA, Ph. ANGOT and J. P. CALTAGIRONE, 1993, A comparison of locally adaptive multigrid methods : L.D.C., F.A.C. and F.I.C., NASA Conf. Publ. 3224, 6th Copper Mountain Conference on Multigrid Methods, N. D. Melson, S. F. McCormick and T. A. Manteuffel, eds., 1, pp. 275-292.
27. K. KHADRA, 1994, Méthodes adaptatives de raffinement local multigrille ; Applications aux equations de Navier-Stokes et de l'energie, Thèse de Doctorat de l'Université Bordeaux I, Spécialité Mathématiques Appliquées, mars.
28. P. LE TALLEC, 1994, Domain decomposition methods in computational mechanics, Comput. Mech. Adv., 1, pp. 121-220.
29. S. F. McCORMICK, 1984, Fast Adaptive Composite Grid (F.A.C.) Methods : theory for the variational case, in Defect Correction Methods, Theory and Applications, K. Böhmer and H. J. Stetter, eds., Computing Supplementum, Springer-Verlag, 5, pp. 115-121.
30. S. F. McCORMICK, ed., 1987, Multigrid Methods, Frontiers in Appl. Math., 3, SIAM, Philadelphia.
31. S. F. McCORMICK, 1989, Multilevel adaptive methods for partial differential equations, Frontiers in Appl. Math., 6, SIAM, Philadelphia.
32. S. V. PATANKAR, 1980, Numerical heat transfer and fluid flow, Hemisphere Publishing Corporation, New-York.
33. U. RÜDE, 1993, Fully adaptive multigrid methods, SIAM J. Numer. Anal., 30, pp. 230-248.
34. J. Xu, 1992, Iterative methods by space decomposition and subspace correction, SIAM Rev., 34, pp. 581-613.