An Additive Multilevel Optimization Method and Its Application to Unstructured Meshes

Journal of Scientific Computing

Volumn 12, Issue 3, 1997, Pages 233-251

  Marco, Nathalie ^a   Koobus, Bruno ^a   Dervieux, Alain ^a  

^a INRIA   (France)

Author keywords

Agglomeration; Multilevel method; Optimization; Unstructured meshes

Indexed keywords

AGGLOMERATION; ALGORITHMS; CONTINUUM MECHANICS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS;

MULTILEVEL OPTIMIZATION METHODS; UNSTRUCTURED MESHES;

OPTIMIZATION;

EID: 0031224290     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025697310775     Document Type: Article

References (13)

1. Beux, F., and Dervieux, A. (1994). A hierarchical approach for shape optimization. Engineering Computation 11, 25-48.
2. Bramble, J. H. (1993). Multigrid methods. Pitman Research Notes in Mathematics Series, Vol. 294. Longman Scientific and Technical, Harlow, Essex.
3. Chan, T., and Tuminaro, R. (1987). Design and Implementation of Parallel Multigrid Algorithms. in Proceedings of Third Copper Mountain Conference on Multigrid Methods. S. F. McCormick (ed.), pp. 101-115, Marcel Dekker, New-York.
4. Dervieux, A., Male, J. M. Marco, N., Périaux, J., Stoufflet, B., and Chen, H. Q. (1994). Some Recent Advances in Optimal Shape Design for Aeronautical Flows. In Computational Fluid Dynamics '94. S. Wagner, E. H. Hirschel, J. Periaux, R. Piva (eds.). pp. 251-256, J. Wiley and Sons, Chichester.
5. Dervieux, A., Marco, N., Male, J. M., Périeux, Stoufflet, B., Chen, H. Q., and Sefrioui, M. (June 1995). Numerical vs Non-Numerical Robust Optimisers for Aerodynamic Design using Transonic Finite-Element Solvers. In 12th AIAA CFD Conference, San Diego, CA, AIAA Paper No 94-203.
6. Guillard, H. (Avril 1993). Convergence analysist of a multi-level relaxation method. Research Report 1884. INRIA Sophia-Antipolis.
7. GUILLARD, H., and MARCO, N. (1995). Some Aspects of Multigrid Methods on Non-Structured Meshes. In Proceedings of Copper Mountain Conference on Multigrid Methods. To be published.
8. Hackbusch, W. (1985). Multi-Grill Methods and Applications, Springer-Verlag, Berlin.
9. Koobus, B., and Lallemand, M.-H. (Août 1994). An additive standpoint in parallel two-level multigrid algorithm. Research Report 2311. INRIA Sophia-Antipolis.
10. Lallemand, M. H. Steve, H., and Dervieux, A. (1992). Unstructured multigridding by volume agglomerating: current status. Computers and Fluids, 21, 397-433, 1992.
11. Marco, M., and Dervieux, A. Some Multilevel Methods for Unstructured-Mesh CFD. In Experimentation, Modelisation, Computation in flow. Turbulence and Combustion. J. A. Désidéri, B. N. Chetverushkin, Y. A. Kuznetsov, J. Périaux and B. Stoufflet (eds.). J. Wiley and Sons, Chichester. 1994. To be published.
12. Marco, N., Koobus, B., and Dervieux, A. (Août 1994). An Additive Multilevel Preconditioning Method, Research Report 2310, INRIA Sophia-Antipolis.
13. Vanek, P., Mandel, J., and Brexina, M. Algebraic Multigrid by smoothed Aggregation for Second and Fourth order Elliptic Problems. 1995. Center for Computational Mathematics, University of Colorado at Denver, unpublished.