Application of a domain decomposition method with Lagrange multipliers to acoustic problems arising from the automotive industry

Journal of Computational Acoustics

Volumn 8, Issue 3, 2000, Pages 503-521

  Magoulès, Frédéric ^a   Meerbergen, Karl ^b   Cuyette, Jean Pierre ^b,c  

^a ONERA   (France)

^b LMS INTERNATIONAL   (Belgium)

^c Free Field Technologies   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034404332     PISSN: 0218396X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218396X00000297     Document Type: Article

References (24)

1. R. Barrett, M. Berry, T. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, and H. A. van der Vorst, Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods (SIAM, Philadelphia, PA, USA, 1994).
2. P. Chevalier and F. Nataf, "Symmetrized method with optimized second-order conditions for the Helmholtz equation," Contemp. Math. 218 (1998), 400-407.
3. F. Collino, Conditions absorbantes d'ordre élevé pour les équations de Maxwell dans des domaines rectangulaires, Research Report 19-91, INRIA, 1993.
4. A. de La Bourdonnaye, C. Farhat, A. Macedo, F. Magoulès, and F. X. Roux, "A nonoverlapping domain decomposition method for the exterior Helmholtz problem," Contemp. Math. 218 (1998), 42-66.
5. B. Després, "Décomposition de domaine et problème de Helmholtz," Compte Rendu de l'Académie des Sciences, France I(311) (1990), 313-316.
6. J. J. Dongarra, I. S. Duff, D. C. Sorensen, and H. A. van der Vorst, Numerical Linear Algebra for High-Performance Computers, Software - Environments - Tools. SIAM, Philadelphia, PA 19104-2688, USA, 1998.
7. I. S. Duff, Direct methods, Technical Report RAL-TR-1998-054, Rutherford Appleton Laboratory, Chilton, Didcot, OX11 0QX UK, August 1998.
8. C. Farhat, A. Macedo, and M. Lesoinne, "A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems," Numerische Mathematik, submitted for publication.
9. C. Farhat, A. Macedo, M. Lesoinne, F.-X. Roux, F. Magoulès, and A. de la Bourdonnaye, "Two-level domain decomposition methods with Lagrange multipliers for the fast iterative solution of acoustic scattering problems," Comp. Meths. Appl. Mech. Eng., submitted for publication.
10. C. Farhat and F.-X. Roux, "An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems," SIAM J. Sci. Statist. Comput. 13 (1992), 379-396.
11. C. Farhat and F. X. Roux, "Implicit parallel processing in structural mechanics," IACM, Comput. Mech. Adv. 2(1) (1994), 121-220.
12. D. R. Fokkema, Enhanced implementation of BiCGSab(ℓ) for solving linear systems of equations, Preprint 976, Universiteit Utrecht, Department of Mathematics, 1996.
13. Message Passing Interface Forum, "MPI: A message-passing interface standard," J. Supercomp. Appl. High Performance Comput. 8 (1994).
14. G. Karypis and V. Kumar, METIS: A software package for partitioning unstructured graphs, partitioning meshes, and computing fill-reducing orderings of sparse matrices. Available via http://www.cs.umn. edu/̃karypis, 1997.
15. J.-L. Lions and R. Dautray, Analyse mathémathique et calcul numérique pour les sciences et techniques, Tome 1. Masson, Paris, 1985.
16. F. Magoulès, "Méthodes numériques de décomposition de domaines pour des problèmes de propagation d'ondes," Ph.D. Thesis, Université Pierre & Marie Curie, 75252 Paris, France, January 2000.
17. F. Magoulès, F. X. Roux, J. P. Coyette, and C. Lecomte, "Numerical treatment of internal acoustic problems by substructuring methods," Proceedings of the International Conference on Advanced Computational Methods in Engineering, Ghent, Belgium, September 1998.
18. F. Magoulès, F. X. Roux, and A. de La Bourdonnaye, "Méthode de décomposition de domaines pour des problèmes hyperboliques," Calculateurs Parallèles Réseaux et Systèmes répartis 10(4) (1998), 353-361.
19. A. D. Pierce, Acoustics - An Introduction to its Physical Principles and Applications (McGraw Hill, New York, 1981).
20. F. X. Roux, "Méthodes de décomposition de domaine pour des problèmes elliptiques," Calculateurs Parallèles 7(3) (1995), 237-253.
21. Y. Saad, Iterative Methods for Linear Systems (PWS Publishing, Boston, 1996).
22. Y. Saad and M. H Schultz, "GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems," SIAM J. Sci. Statist. Comput. 7 (1986), 856-869.
23. SYSNOISE Rev 5.4. A software tool for vibro-acoustic simulation. LMS International, Interleuvenlaan 70, 3001 Leuven, Belgium, 1999.
24. P. le Tallec, "Domain decomposition methods in computational mechanics," IACM, Comput. Mech. Adv. 1(2) (1994), 121-220.