. Arrow, Studies in nonlinear programming, 1958.

B. Benamou and J. , Domain decomposition methods with coupled transmission conditions for the control of systems governed by elliptic partial diierential equations, 1994.

B. Benamou and J. , A domain decomposition method with coupled transmission conditions for the control of systems governed by elliptic partial diierential equations, SIAM J. Numer. Anal, vol.336, p.240112416, 1996.

B. Benamou and J. , R esolution d'un cas test de contr^ ole optimal pour un syst eme gouvern e par l' equation des ondes a l'aide d'une m ethode de d ecomposition de domaine, 1997.

D. Benamou, J. Es-benamou, and B. Et-despr-es, A Domain Decomposition Method for the Helmholtz Equation and Related Optimal Control Problems, Journal of Computational Physics, vol.136, issue.1, p.68882, 1997.
DOI : 10.1006/jcph.1997.5742

URL : https://hal.archives-ouvertes.fr/inria-00073899

H. Berggren, M. Berggren, and M. Et-heinkenschloss, Parallel solution of optimal-control problems by time-domain decomposition, Computational Science for the 21st century, 1997.

B. Bjjrstad and P. , A large scale, sparse, secondary storage, direct linear equationsolver for structural analysis and its implementation on vector parallel architectures, J. Parallel Computing, vol.5, 1987.

A. Bouna-m-bouna-m, A Lagrangian approach to a ddm for an optimal control problem, Domain Decomposition Methods in Sciences and Engineering Proceedings from the Ninth International Conference, 1996.

. Bramble, Parallel multilevel preconditioners, Proc. of Third International Symposium on Domain Decomposition Methods for Partial Diierential Equations, 1990.
DOI : 10.1090/S0025-5718-1990-1023042-6

URL : http://www.osti.gov/scitech/servlets/purl/6473411

C. Ea and J. , Optimisation: Th eorie et Algorithmes, C ea, 1971.

C. Cai and X. , Additive s c hwarz algorithm for parabolic convection diiusion equations, Numer. Math, vol.60, p.41162, 1991.

. Dawson, A nite diierence domain decomposition algorithm for the numerical solution of heat equation, Math. Comput, vol.57, p.63371, 1991.

D. , D. Dawson, C. N. Et-dupont, and T. F. , Explicittimplicit conservative Galerkin domain decomposition method of a model heat equation, Math. Comput, vol.58, p.63371, 1991.

B. Despr-es-despr-es, Domain decomposition method and the Helmholtz problem, Mathematical and Numerical Aspects of Wave Propagation Phenoma, p.44452, 1991.

B. Despr-es-despr-es, Domain decomposition method and the Helmholtz problem part ii, Second international conference on mathmatical and numerical aspects of wave propagation phenoma, p.1977206, 1993.

. Dongara, Mpi : A message-passing interface standard, 1994.

D. Dryja, M. Glowinski, R. Kuznetsov, Y. A. Meurant, G. A. et al., Substructure methods for parabolic problems, Proceedings of the Foorth International Conference on Domain Decomposition Methods, p.2644271, 1991.

W. Dryja, M. Dryja, and O. Et-widlund, Some Domain Decomposition Algorithms for Elliptic Problems, Proc. of Second International Symposium on Domain Decomposition Methods for Partial Diierential Equations, 1989.
DOI : 10.1016/B978-0-12-407475-0.50022-X

T. Espedal, M. Espedal, and X. Tai, A space decomposition method for minimization problems, Domain Decomposition Methods in Sciences and Engineering Proceedings from the Ninth International Conference, 1996.

F. Faurre and P. , Note d'optimisation, Ecole Polytechnique, 1986.

. Geist, PVM 3 user's guide and reference manual, 1993.

G. , L. Echal-gilbert, J. Et-lemar-echal, and C. , Some numerical experiments with variable storage quasi-Newton algorithms, Mathematical Programming, p.4077435, 1989.

L. Glowinski, R. Tallec-glowinski, P. Et-le-tallec, T. F. Chan, R. Glowinski et al., Augmented Lagrangian interpretation of the nonoverlapping Schwarz alternating method, Proc. 3rd Conference on Domain Decomposition Methods, p.2244231, 1990.

J. Gustafon-gustafon, Reevaluating amdahl's law, In Communications of the ACM, pp.31-5322533, 1988.

J. Ager, An overlapping domain decomposition superposition method for a model heat equation, 1992.

. Keyes, Domain- Based Parallelism and Problem Decomposition Methods in Computational Sciences and Engineering, 1995.
DOI : 10.1137/1.9781611971507

A. Kortas, S. Kortas, and P. Et-angot, A practical and portable model of programming for iterative solvers on distributed memory machines, Parallel Computing, vol.22, issue.4, p.4877512, 1996.
DOI : 10.1016/0167-8191(96)00017-8

K. Kunisch-e-t-t-ai-kunisch and X. Tai, Nonoverlapping domain decomposition methods for inverse problems, Domain Decomposition Methods in Sciences and Engineering Proceedings from the Ninth International Conference, 1996.

L. Lagnese, J. Lagnese, and G. Et-leugering, Dynamic Domain Decomposition in Approximate and Exact Boundary Control in Problems of Transmission for Wave Equations, SIAM Journal on Control and Optimization, vol.38, issue.2, 1998.
DOI : 10.1137/S0363012998333530

L. T. , L. Tallec, and P. , Domain decomposition in computational mechanics, Computational Mechanics Advances, vol.1, 1994.

L. Tallec-et-sassi-le-tallec, P. Et-sassi, and T. , Domain decomposition with nonmatching grids: Augmented lagrangian approach, Mathematics of Computation, vol.64212, p.136771396, 1995.

L. Leugering and G. , Domain decomposition of optimal control problems for dynamic networks of elastic strings, Optimal Control: Theory, Algorithms and Applications, 1997.

L. Leugering and G. , Dynamic domain decomposition of optimal control problems for networks of euler-bernouilli beams, 1997.

J. Lions, Contr^ ole optimal de syst emes gouvern es par des equations aux d eriv ees partielles, Lions, 1968.

1. Lions and J. Lions, PARALLEL STABILIZATION, Chinese Annals of Mathe- matics, 1998.
DOI : 10.1142/S0252959999000059

J. Lions, Parallel stabilization of hyperbolic and petrovsky systems, Fourth world congress on Computational Mechanics, 1998.

J. Lions, Parallel Stabilization of Navier-Stokes Equations, 10th International Conference o n P a r allel CFD, 1998.
DOI : 10.1016/B978-044482850-7/50066-8

P. Lions, J. Lions, and O. Et-pironneau, Algorithmes parall eles pour la solution de probl emes aux limites, C. R. Acad. Sci, 1998.

P. Lions, R. Glowinski, G. H. Golub, G. A. Meurant, and J. Eriaux, On the Schwarz alternating method I: A v ariant for nonoverlapping subdomains, Proc. 1rst Conference on Domain Decomposition Methods, p.1142, 1988.

P. Lions, T. F. Chan, R. Glowinski, and J. Et-widlund, On the Schwarz alternating method II: A v ariant for nonoverlapping subdomains, Proc. of Second International Symposium on Domain Decomposition Methods for Partial Diierential Equations, 1989.

P. Lions, T. F. Chan, R. Glowinski, J. Et-widlund, and O. B. , On the Schwarz alternating method III: A v ariant for nonoverlapping subdomains, Proc. 3rd Conference on Domain Decomposition Methods, p.2022223, 1990.

L. Luong and B. , Techniques de contr^ ole optimal pour un mod ele quasig eostrophique de circulation oc eanique. Application a l'assimilation de donn ees altim etriques satellitaires, 1995.

R. Ralph and D. , A Parallel Method for Unconstrained Discrete-Time Optimal Control Problems, SIAM Journal on Optimization, vol.6, issue.2, p.4888512, 1996.
DOI : 10.1137/0806026

T. Raviart, P. A. Raviart, and J. M. Et-thomas, Introduction a l'analyse num erique des equations aux d eriv ees partielles, 1988.

R. Roux and F. , Domain Decomposition Methods with Coupled T ransmission conditions for the Control of Systems governed by Elliptic Partial Diierential Equations, 1989.

S. Saad and Y. , Practical use of some krylov subspace methods for solving indeenite and nonsymmetric linear systems, SIAM J. Sci. Statist. Comput, vol.6, p.8655881, 1985.

S. Saad, Y. Saad, and M. Schultz, GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems, SIAM Journal on Scientific and Statistical Computing, vol.7, issue.3, p.8566869, 1986.
DOI : 10.1137/0907058

S. Sassi and T. , M ethodes de d ecomposition de domaine pour la r esolution de probl eme d' elasticit e non-lin eaire avec maillages incompatibles, 1993.

F. Sleijpen, G. L. Sleijpen, and D. R. Et-fokkema, Bicgstab1 forb linear equations involving unsymmetric matrices with complex pectrum, Electronic Transaction on Numerical Analysis, vol.1, p.11131, 1993.

. Smith, Domain Decomposition , Parallel Multilevel Methods for Elliptic Partial Diierential Equations, 1996.

S. Sobolev and S. L. , L'algorithme de Schwarz dans la th eorie de l' elasticit e, Comptes rendus de l'acad emie des sciences de l'URSS, v olume IVXIII6, p.2433246, 1936.

S. Sonnelved and P. , CGS: a fast Lanczos-type solver for nonsymmetric linear systems, SIAM J. Sci. Stat. Comput, vol.10, p.36652, 1989.

T. Tai and X. , Parallel function decomposition and space decomposition methods 1. function decomposition, Beijing Mathematics, vol.1, p.1044134, 1995.

T. Tai and X. , Parallel function decomposition and space decomposition methods 2. space decomposition, Beijing Mathematics, vol.1, p.1355152, 1995.

T. Tai and X. , A space decomposition method for parabolic equations, Num. Meth. for Part. Dii. Equat, vol.141, 1998.

V. Van-der and H. Van-der-vorst, Bi-CGSTAB, SIAM J. Sci. Stat. Comput, vol.13, p.6311644, 1992.
DOI : 10.1017/CBO9780511615115.010

V. Van-der, V. Van-der-vorst, H. Et-vuik, and C. , GMRESR: a family of nested GMRES methods, Numerical Linear Algebra with Applications, vol.160, issue.4, p.3699386, 1994.
DOI : 10.1002/nla.1680010404