120 2.3.1 Estimations d'´ energie des systèmes découplés, p.121 ,
Sobolev spaces, 1975. ,
Unprobì eme de Navier-Stokes avec surface libre Thèse de troi-sì eme cycle de l'Université paris VI, 1983. [All87] G. Allain. Small-time existence for the navier-stokes equations with a free surface, Appl. Math. Optim, vol.16, issue.1, pp.37-50, 1987. ,
Mathematical methods of classical mechanics, translated from the Russian by, Graduate Texts in Mathematics, vol.60, 1989. ,
Calcul différentiel Number 2` eme tirage in Collection Maitrise de Mathématiques Pures On the existence of strong solutions to a coupled fluid-structure evolution problem, pp. [BdV03] H. Beirao da Veiga, p.1, 1983. ,
The initial value problem for the navier-stokes equation with a free surface ,
Analysis of a One-Dimensional Model for the Immersed Boundary Method, SIAM Journal on Numerical Analysis, vol.29, issue.2, pp.332-364, 1992. ,
DOI : 10.1137/0729022
Blas (basic linear algebra subprograms) http ://www.netlib.org/blas, Analyse fonctionnelle, Théorie et applications. Number 5` eme tirage in Collection Mathématiques Appliquées pour la Maitrise. Masson, 1996. ,
´ Elasticité tridimensionnelle, volume RMA1 of Collection Recherches en Mathématiques Appliquées, 1986. ,
Mathematical elasticity. Volume I, 1988. ,
URL : https://hal.archives-ouvertes.fr/hal-01077424
Theory of Ordinary Differential Equations, 1955. ,
A co-rotational formulation for 2-d continua including incompatible modes, International Journal for Numerical Methods in Engineering, vol.39, pp.2619-2633, 1996. ,
A finite element formulation for 3-d continua using the co-rotational technique, International Journal for Numerical Methods in Engineering, vol.39, pp.3775-3792, 1996. ,
Motion of a rigid body in a viscous fluid, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.328, issue.6, pp.473-478, 1999. ,
DOI : 10.1016/S0764-4442(99)80193-1
Existence of solutions for the equations modelling the motion of a rigid body in viscous fluid, Comm. Partial Differential Equations, vol.25, pp.5-61019, 2000. ,
Mécanique quantique, 1973. ,
Existence of Weak Solutions for the Motion of Rigid Bodies in a Viscous Fluid, Archive for Rational Mechanics and Analysis, vol.146, issue.1, pp.59-71, 1999. ,
DOI : 10.1007/s002050050136
On Weak Solutions for Fluid???Rigid Structure Interaction: Compressible and Incompressible Models, Communications in Partial Differential Equations, vol.40, issue.1, pp.1399-1413, 2000. ,
DOI : 10.1007/BF01094193
Etude de la dynamique cardiarque par analyse d'images tridimensionnelles, 1997. ,
Weak solutions for a fluid-elastic structure interaction model, Revista Matem??tica Complutense, vol.14, issue.2, pp.523-538, 2001. ,
DOI : 10.5209/rev_REMA.2001.v14.n2.17030
An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions, Computer Methods in Applied Mechanics and Engineering, vol.33, issue.1-3, pp.689-723, 1982. ,
DOI : 10.1016/0045-7825(82)90128-1
Outils pour l'optimisation de forme et le contrôle optimal, applicationà application`applicationà la mécanique des fluides, 2000. ,
Les inéquations en mécanique et en physique, Travaux et Recherche Mathématique, 1972. ,
Analyse mathématique et calcul numérique pour les sciences et techniques, volume 1 ` a 9, 1987. ,
Mécanique des milieux continus. Collection Mathématiques Appliquées pour la ma??trisema??trise, 1990. ,
Couplage fluide structure, un modèle simplifié, C. R. Acad. Sci. Paris Sér. II Math, p.318, 1994. ,
The dynamics of flexible bodies, International Journal of Engineering Science, vol.14, issue.10, pp.895-913, 1976. ,
DOI : 10.1016/0020-7225(76)90102-6
A stability analysis for the arbitrary lagrangian eulerian formulation with finite elements, East-West J. Numer. Math, vol.7, issue.2, pp.105-131, 1999. ,
Multiscale modelling of the circulatory system: a preliminary analysis, Computing and Visualization in Science, vol.2, issue.2-3, pp.75-83, 1999. ,
DOI : 10.1007/s007910050030
Analysis of a nonlinear fluid-structure interaction problem in velocity displacement formulation, Nonlinear Analysis, vol.35, pp.561-587, 1999. ,
On a nonlinear fluid-structure interaction problem defined on a domain depending on time, Nonlinear Analysis, vol.38, pp.549-569, 1999. ,
Multidisciplinary Simulation of the Maneuvering of an Aircraft, Engineering With Computers, vol.17, issue.1, pp.16-27, 2001. ,
DOI : 10.1007/PL00007193
The second generation of feti methods and their application to the parallel solution of large-scale linear and geometrically nonlinear structural analysis problems A priori error estimates for the arbitrary lagrangian eulerian formulation with finite elements Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions, Computer Methods in Applied Mechanics and Engineering East-West J. Numer. Math. Journal of Mathematical Fluid Mechanics, vol.184, issue.23, pp.333-374123, 2000. ,
Analyse et méthodes numériques pour la simulation de phénomènes d'interaction fluide-structure. ESAIM : Proceedings, http ://www.emath.fr/ proc, pp.97101-117, 1998. ,
Existence de solutions d'un probl??me de couplage fluide-structure bidimensionnel instationnaire, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.326, issue.4, pp.525-530, 1998. ,
DOI : 10.1016/S0764-4442(97)89804-7
Existence for an Unsteady Fluid-Structure Interaction Problem, ESAIM: Mathematical Modelling and Numerical Analysis, vol.34, issue.3, pp.609-636, 2000. ,
DOI : 10.1051/m2an:2000159
Fluid-Structure Interaction: A Theoretical Point of View, Revue Europ??enne des ??l??ments Finis, vol.94, issue.2, pp.633-653, 2000. ,
DOI : 10.1080/12506559.2000.10511479
Existence of a solution for an unsteady elasticity problem in large displacement and small perturbation, Comptes Rendus Mathematique, vol.334, issue.6, pp.521-526, 1979. ,
DOI : 10.1016/S1631-073X(02)02300-2
Analyse mathématique et numérique de quelquesprobì emes d'interaction fluide-structure, 1998. ,
The influence of the non-newtonian properties of blood on the flow in large arteries : Steady flow in a carotid bifurcation model The influence of the non-newtonian properties of blood on the flow in large arteries : Unsteady flow in a 90-degree curved tube Time-domain decomposition iterative methods for the solution of distributed linear quadratic optimal control problems Neumann control of unstable parabolic systems : Numerical approach, Analyse numérique et simulation deprobì emes d'interaction fluidestructure en régime incompressibleHei00] Matthias Heinkenschloss, pp.601-608705, 1998. ,
A Numerical Approach to the Control and Stabilization of Advection-Diffusion Systems: Application to Viscous Drag Reduction, International Journal of Computational Fluid Dynamics, vol.11, issue.1-2 ,
DOI : 10.1007/BF01589116
Lagrangian-Eulerian finite element formulation for incompressible viscous flows, Computer Methods in Applied Mechanics and Engineering, vol.29, issue.3, pp.329-349, 1981. ,
DOI : 10.1016/0045-7825(81)90049-9
On a motion of a solid body in a viscous fluide. two-dimensional case, Adv. Math. Sci. Appl, vol.9, issue.2, pp.633-648, 1999. ,
Zur bewegung einer kugel in einer zähen flüssigkeit, Doc. Math, vol.5, pp.15-21, 2000. ,
On existence of solutions of the navier-stokes equation in a time dependent domain, J. Fac. Sci. Univ. Tokyo Sect. IA Math, vol.24, issue.2, pp.303-319, 1977. ,
The solvability of the problem of the motion of a rigid body in a viscous incompressible fluid, Dinamika Splosn. Sredy, no Vyp. 18 Dinamika Zidkost. so Svobod. Granicami, pp.249-253, 1974. ,
IntroductionàIntroduction`Introductionà la théorie des points critiques et applications auxprobì emes elliptiques, 1993. ,
Lapack ? linear algebra package, 2002. ,
Optimal Control. A Wiley-Interscience publication, 1986. ,
Contrôle optimal de systèmes gouvernés par deséquationsdeséquations aux dérivées partielles, 1968. ,
Quelques méthodes de résolution desprobì emes aux limites non linéaires, 1969. ,
Characteristics ALE Method for the Unsteady 3D Navier-Stokes Equations with a Free Surface, International Journal of Computational Fluid Dynamics, vol.30, issue.3, pp.175-188, 1996. ,
DOI : 10.1016/0045-7825(92)90116-2
A fat boundary method for the poisson problem in a domain with holes, Journal of Scientific Computing, vol.16, issue.3, pp.319-339, 2001. ,
DOI : 10.1023/A:1012821728631
Interaction de fluides potentiels avec une membrané elastique ESAIM : Proceedings, http ://www.emath.fr/proc, CEM- RACS'99, pp.23-33, 2001. ,
DOI : 10.1051/proc:2001013
Characteristics ale method for unsteady free surface flows with surface tension, Z. Angew. Math. Mech, vol.76, issue.2, pp.613-614, 1996. ,
Système D, Algèbre générale, 350 méthodes-400 exercices corrigés, 1` ere et 2` eme années toutesfilì eres, 2001. ,
Numerical approximation of fluid-structure interaction problems with application to haemodynamics [Ope02] OpenDX. Opendx, the open source software project based on ibm's visualization data explorer, 2001. ,
Quelques méthodes théoriques et numériques de contrôlabilité etprobì emes d'interactions fluide-structure, Thèse detroisì eme cycle de l' ´ Ecole Polytechnique, 1998. ,
Flow patterns around heart valves: A numerical method, Journal of Computational Physics, vol.10, issue.2, p.252, 1972. ,
DOI : 10.1016/0021-9991(72)90065-4
Numerical analysis of blood flow in the heart, Journal of Computational Physics, vol.25, issue.3, pp.220-252, 1977. ,
DOI : 10.1016/0021-9991(77)90100-0
Fiber architecture of the left ventricular wall: An asymptotic analysis, Communications on Pure and Applied Mathematics, vol.39, issue.1, pp.79-113, 1989. ,
DOI : 10.1002/cpa.3160420106
The immersed boundary method, Acta Numerica, pp.1-39, 2002. ,
Méthodes desélémentsdeséléments finis pour les fluides, volume RMA 7 of Collection Recherches Appliquées, 1988. ,
A three-dimensional computational method for bloed flow in the heart : I. immersed elastic fibers in a viscous incompressible fluid, JCP, vol.81, pp.372-405, 1989. ,
A three-dimensional computational method for bloed flow in the heart : Ii. contractile fibers, JCP, vol.82, pp.289-297, 1989. ,
Mechanics of Non-newtonian Fluids, in Recent developments in theoretical fluid mechanics ,
Necas editors, pp.129-162, 1992. ,
An Adaptive Version of the Immersed Boundary Method, Journal of Computational Physics, vol.153, issue.2, pp.509-534, 1999. ,
DOI : 10.1006/jcph.1999.6293
Numerical modelling of shear-dependent mass transfer in large arteries, International Journal for Numerical Methods in Fluids, vol.104, issue.7, pp.847-857, 1997. ,
DOI : 10.1002/(SICI)1097-0363(19971015)25:7<847::AID-FLD590>3.0.CO;2-1
IntroductionàIntroduction`Introductionà l'analyse numérique deséquationsdeséquations aux dérivées partielles, 1992. ,
Two-dimensional incompressible navierstokes calculations in complex-shaped moving domains, Journal of Engineering Mathematics, vol.34, issue.1/2, pp.57-73, 1998. ,
DOI : 10.1023/A:1004307502383
An arbitrary Lagrangian???Eulerian finite-volume method for the simulation of rotary displacement pump flow, Applied Numerical Mathematics, vol.32, issue.4, pp.419-433, 2000. ,
DOI : 10.1016/S0168-9274(99)00061-6
Interactions of an elastic solid with a viscous fluid : Eigenmode analysis, JCP, vol.100, pp.270-283, 1992. ,
Chute libre d???un solide dans un fluide visqueux incompressible. existence, Japan Journal of Applied Mathematics, vol.52, issue.1 ,
DOI : 10.1007/BF03167757
Simulating the motion of flexible pulp fibres using the immersed boundary method, JCP, vol.147, pp.147-165, 1998. ,
Global weak solutions for the two dimensional motion of several rigid bodies in an incompressible viscous fluid, Arch. Rational Mech. Anal, vol.161, issue.2, pp.113-147, 2002. ,
Solvability of a problem on the motion of a viscous incompressible fluid bounded by a free surface, Math. USSR Izvestiya (Izv. Ross. Akad. Nauk Ser. Mat.), issue.6, pp.411388-1424, 1977. ,
On the transiant motion of an isolated volume of viscous incompressible fluid, Math. USSR Izvestiya (Izv. Ross. Akad. Nauk Ser. Mat.), vol.31, pp.381-405, 1988. ,
Unsteady motion of a finite mass of fluid, bounded by a free surface ,
Le coeur. modélisations et simulations numériques Cours de l' ´ Ecole Doctorale de Sciences mathématiques de Paris Centre, 2002. ,
Existence of strong solutions for a model of motion of a rigid in a bounded domain. Prépublication de l'Institut Elie Cartan, 2002. ,
Global strong solutions for the two dimensional motion of a rigid body in a viscous fluid. Prépublication de l, 2002. ,
Global weak solutions for the two dimensional motion of several rigid bodies in an incompressible viscous fluid. Prépublication de l'Institut Elie Cartan, 2002. ,