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  A domain decomposition method for control problems (1998) [4 citations — 0 self]

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by Jean-david Benamou
DD9 Proceedings
http://www.ddm.org/DD9/Benamou.ps.gz
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Abstract:

A DDM (Domain Decomposition Method) for the optimal control of systems governed by PDEs (Partial Differential Equations) is presented. The general framework is based on a nonoverlapping spatial decomposition of the domain (time is not decomposed

Citations

39 Controle optimal de syst`emes gouvern'es par des 'equations aux d'eriv'ees partielles. Dunod – Lions - 1968
28 Controlabilite Exacte Perturbations et Stabilisation de Syste- mes Distribues, Tome 1, Controlabilite Exacte – Lions - 1988
25 Domain decomposition method and the Helmholtz problem.II – Després - 1993
7 A domain decomposition method with coupled transmission conditions for the optimal control of systems governed by elliptic partial differential equations – Benamou - 1996
5 A unified physical presentation of mixed, mixed-hybrid finite elements and standard finite difference approximations for the determination of velocities in waterflow problems – Chavent, Roberts - 1991
4 D'ecomposition de domaine pour le controle de syst`emes gouvern'es par des 'equations d"evolution – Benamou - 1997
3 A domain decomposition method for the optimal control of system governed by the helmholtz equation – Benamou - 1995
3 On the Schwarz alternating method 3 – Lions - 1990
2 A massively parallel algorithm for the optimal control of systems governed by elliptic p.d.e.'s – Benamou - 1995
2 On dynamic domain decomposition of controlled networks of strings and joint-masses – Leugering - 1996
2 Parallel Multilevel Methods for Elliptic Partial Differential Equations – Smith, Bjorstad, et al. - 1996
1 M'ethode de d'ecomposition appliqu'ee au controle optimal de syst`emes distribu'es – L - 1973
1 Optimal control of systems governed by the wave equation : resolution of a test case using a domain decomposition method – Benamou - 1997
1 Domain decomposition and mixed finite element methods for elliptic problems – W - 1988
1 Acceleration of domain decomposition algorithms for mixed finite element methods by multi level methods – W - 1990
1 Augmented lagrangian interpretation of the nonoverlapping Schwarz alternating method – L - 1990
1 On the fast solving of parabolic boundary control problems – Hackbush - 1979
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