A. Bensoussan, M. C. Delfour, G. Da-prato, and S. K. Mitter, Representation and Control of Infinite Dimensional Systems, 2007.

F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods, 1991.

E. Burman and M. A. Fernández, Stabilized explicit coupling for fluid-structure interaction using Nitsche's method, Comptes Rendus Mathematique, vol.345, issue.8, pp.467-472, 2007.
DOI : 10.1016/j.crma.2007.09.010

URL : http://hal.archives-ouvertes.fr/docs/00/33/33/22/PDF/RR-6445.pdf

E. Burman and M. A. Fernández, Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.5, pp.766-784, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00247409

B. Burtschell, D. Chapelle, and P. Moireau, Effective and energy-preserving time discretization for a general nonlinear poromechanical formulation, Computers and Structures, vol.182, issue.x, pp.313-324, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01395508

D. Chapelle and P. Moireau, General coupling of porous flows and hyperelastic formulations-From thermodynamics principles to energy balance and compatible time schemes, European Journal of Mechanics-B/Fluids, vol.46, pp.82-96, 2014.
URL : https://hal.archives-ouvertes.fr/inria-00520612

P. G. Ciarlet, Mathematical Elasticity-Volume I: Three-Dimensional Elasticity, 1988.

P. Clément, Approximation by finite element functions using local regularization. Revue francaise d'automatique, informatique, recherche opérationnelle. Analyse numérique, vol.9, pp.77-84, 1975.

F. Costanzo and S. T. Miller, An arbitrary Lagrangian-Eulerian finite element formulation for a poroelasticity problem stemming from mixture theory, Comput Method Appl M, vol.323, pp.64-97, 2017.

O. Coussy and . Poromechanics, , 2004.

M. A. Fernández, J. F. Gerbeau, and C. Grandmont, A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid, International Journal for Numerical Methods in Engineering, vol.69, issue.4, pp.794-821, 2007.

J. F. Gerbeau and M. Vidrascu, A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows, ESAIM: M2AN, vol.37, issue.4, pp.631-647, 2003.
URL : https://hal.archives-ouvertes.fr/inria-00071895

F. Hecht, New development in FreeFem++, J. Numer. Math, vol.20, issue.3-4, pp.251-265, 2012.
DOI : 10.1515/jnum-2012-0013

URL : https://hal.archives-ouvertes.fr/hal-01476313

P. , L. Tallec, and P. Hauret, Energy conservation in fluid structure interactions, Numerical Methods for Scientific Computing / Variational Problems and Applications-CIMNE, 2003.

J. L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems and Applications, vol.1, 1972.
DOI : 10.1007/978-3-642-65161-8

J. Nitsche, Uber ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind, Abh. Math. Sem. Univ. Hamburg, vol.36, pp.9-15, 1971.
DOI : 10.1007/bf02995904

A. T. Vuong, C. Ager, and W. A. Wall, Two finite element approaches for Darcy and Darcy-Brinkman flow through deformable porous media-Mixed method vs, NURBS based (isogeometric) continuity. Comput Method Appl M, vol.305, pp.634-657, 2016.
DOI : 10.1016/j.cma.2016.03.005