pour la période 2012 à 2014, financé par le comité ECOS-Sud : " FLUISP : Fluid-structure interaction in speech and its pathologies, Erwin Hernández (USM, Chili) et Claudio Lobos ,
SIM2E : Simulation et identifiabilité de modèles en écologie : relation proie-prédateur et transmission d'Echinococcus multilocularis, Projet PEPII (Projet Exploratoire Pluridisciplinaire Inter-Instituts) de Projet impliquant le Laboratoire de Mathématiques de Besançon (autre membre : Ulrich Razafison) et le laboratoire Chrono-Environnement à Besançon (membres impliqués, 2011. ,
Université de Franche-Comté : " Méthodes parallèles en temps pour les équations de Saint-Venant, avec Mihaï Bostan et Ulrich Razafison, 2011. ,
Responsable de l'organisation des groupes de travail hebdomadaires. 2, ) Participation à l'organisation des conférences Surgetica, 2002. ,
Simulation of the Retroglossal Fluid-Structure Interaction During Obstructive Sleep Apnea, Revues internationales avec comité de lecture Acceptées, pp.4072-4120, 2006. ,
DOI : 10.1007/11790273_6
URL : https://hal.archives-ouvertes.fr/hal-00082252
Numerical and experimental study of expiratory flow in the case of major upper airway obstructions with fluid???structure interaction, Journal of Fluids and Structures, vol.24, issue.2, pp.24-250, 2008. ,
DOI : 10.1016/j.jfluidstructs.2007.08.004
URL : https://hal.archives-ouvertes.fr/hal-00260972
A finite element method for the resolution of the Reduced Navier-Stokes/Prandtl equations, ZAMM, vol.43, issue.2, pp.54-68, 2009. ,
DOI : 10.1002/zamm.200800068
URL : https://hal.archives-ouvertes.fr/hal-00364839
Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics, SIAM Journal on Scientific Computing, vol.31, issue.6, pp.31-4041, 2009. ,
DOI : 10.1137/090749694
URL : https://hal.archives-ouvertes.fr/inria-00361284
Comparison of computations of asymptotic flow models in a constricted channel, Applied Mathematical Modelling, vol.36, issue.12, pp.6061-6071, 2012. ,
DOI : 10.1016/j.apm.2012.01.035
URL : https://hal.archives-ouvertes.fr/hal-00714429
A Nitsche-based domain decomposition method for hypersingular integral equations, Numerische Mathematik, vol.60, issue.4, pp.705-729, 2012. ,
DOI : 10.1007/s00211-012-0451-2
A local projection stabilized method for fictitious domains, Applied Mathematics Letters, vol.25, issue.12, pp.2071-2076, 2012. ,
DOI : 10.1016/j.aml.2012.04.020
URL : https://hal.archives-ouvertes.fr/hal-00648631
On convergence of the penalty method for unilateral contact problems, Applied Numerical Mathematics, vol.65, pp.27-40, 2013. ,
DOI : 10.1016/j.apnum.2012.10.003
URL : https://hal.archives-ouvertes.fr/hal-00688641
An adaptation of Nitsche's method to the Tresca friction problem To appear, Journal of Mathematical Analysis and Applications, 2013. ,
Multiscale coupling of finite element and lattice Boltzmann methods for time dependent problems, p.776619, 2012. ,
Symmetric and non-symmetric variants of Nitsche???s method for contact problems in elasticity: theory and numerical experiments, hal-00776619. Under revision in Mathematics of Computation, 2013. ,
DOI : 10.1090/S0025-5718-2014-02913-X
An added-mass free semiimplicit coupling scheme for fluid-structure interaction, Comptes Rendus Mathématique . Académie des Sciences. Paris, pp.347-99, 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00542751
When a fluid-structure interaction keeps you awake : a physical approach to Obstructive Sleep Apnea, Progress in Sleep Apnea Research, pp.41-76, 2007. ,
Maxillofacial computer aided surgery : a 5 years experience and future, Comptes-rendus de colloques Proceedings of the First International Conference Surgeti- ca'2002. Computer-Aided Medical Interventions : tools and applications, Sauramps Medical Editors, pp.185-190, 2002. ,
Evaluating soft tissue simulation for computer-aided orthognatic surgery using pre and post-operative CT scan, Proceedings of the First International Symposium on Computer Aided Surgery around the Head, pp.157-158, 2003. ,
A new 3D cephalometric analysis for planning in computer aided orthognatic surgery, Proceedings of the First International Symposium on Computer Aided Surgery around the Head, p.217, 2003. ,
In-vitro study of pharyngeal pressure losses at the origin of obstructive sleep apnea, Proceedings of the 25th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (IEEE Cat. No.03CH37439), pp.371-374, 2003. ,
DOI : 10.1109/IEMBS.2003.1279665
URL : https://hal.archives-ouvertes.fr/hal-00108988
Obstructive sleep apnea syndrome. Part 1 : In-vitro study of the fluid-structure interaction, Archives of Physiology and Biochemistry, vol.111, p.60, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00109393
Obstructive sleep apnea syndrome. Part 2 : computer simulation of the fluid-structure interaction, Archives of Physiology and Biochemistry, vol.111, p.54, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00109393
Evaluating soft tissue simulation in maxillofacial surgery using pre and post-operative CT scan, Proceedings of the 18th International Conference on Computer Assisted Radiology and Surgery, CARS 2004. International Congress Series (ICS), pp.419-424, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00108697
Reproduction of hypopnea phenomenon using a physical and numerical model, Proceedings of the 6th International Symposium on Computer Methods in Biomechanics & Biomedical Engineering, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00108703
Simulation de l'interaction entre air inspiré et tissus pharyngés pour l'aide au planning en chirurgie maxillo-faciale, Revue de Stomatologie et de, pp. 1S11?1S12. Actes du 41e Congrès Français et 2e Congrès International Francophone de Stomatologie et Chirurgie Maxillo-Faciale, 2005. ,
Simulation de l'interaction entre air inspiré et tissus pharyngés lors d'un épisode apnéique pour l'aide au planning en chirurgie maxillo-faciale, Actes du 20e congrès de la Société Française de Recherche sur le Sommeil, p.87, 2005. ,
DOI : 10.1016/s0035-1768(05)85879-6
Fluid-structure interaction in obstructive sleep apnea: Validation of numerical simulations using in-vitro measurements, Proceedings of the 5th World Congress of Biomechanics, p.441, 2006. ,
DOI : 10.1016/S0021-9290(06)84802-5
URL : https://hal.archives-ouvertes.fr/hal-00108527
An added-mass free semiimplicit coupling scheme for fluid-structure interaction, Proceedings of the Fourth Meeting on Numerical Analysis of Partial Differential Equations, p.11, 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00542751
An Enhanced Parareal Algorithm for Partitioned Parabolic-Hyperbolic Coupling, AIP Conference Proceedings, pp.1517-1520, 2009. ,
DOI : 10.1063/1.3241387
URL : https://hal.archives-ouvertes.fr/hal-00793490
Fast numerical methods for fluid-structure interaction problems arising in blood flows, Proceedings of the Third Chilean Workshop on Numerical Analysis of Partial Differential Equations, p.865205, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00865205
A Nitsche-based domain decomposition method for hypersingular integral equations, Proceedings of the Fifth Meeting on Numerical Analysis of Partial Differential Equations, p.29, 2010. ,
DOI : 10.1007/s00211-012-0451-2
Finite element model of a vocal fold replica, 8th International Conference on Voice Physiology and Biomechanics, ICVPB, 2012. (abstract available on HAL, p.826523 ,
URL : https://hal.archives-ouvertes.fr/hal-00826523
A Nitsche-based method for contact and friction problems, Proceedings of The 3rd International Conference on Computational Contact Mechanics, ICCCM, pp.141-142, 2013. ,
A parareal multiscale coupling of finite element and lattice Boltzmann methods, Proceedings of The International Conference on Scientific Computation And Differential Equations, pp.90-91, 2013. ,
Chilean Workshop on Numerical Analysis of Partial Differential Equations " WONAPDE 2010 Invitation au mini-symposium, Life Sciences Modeling " organisé par Mauricio Sepúlveda, 2010. ,
Symposium on Biomedical Simulation " ISBMS, 2006. ,
Fourth Meeting on Numerical Analysis of Partial Differential Equations, Santiago Numerico I, 2009. ,
Fluid and Elasticity " 2009. Carry-Le-Rouet, France, 2009. ,
Parallélisation Incluant le Temps pour Accélérer les Calculs " ) Laboratoire Jacques-Louis Lions, 2008. ,
A generalized Newton method for contact problems with friction, Journal de Mécanique Théorique et Appliquée, vol.7, pp.67-82, 1988. ,
URL : https://hal.archives-ouvertes.fr/hal-01433772
A local projection stabilization of fictitious domain method for elliptic boundary value problems, Applied Numerical Mathematics, vol.76, p.845770, 2013. ,
DOI : 10.1016/j.apnum.2013.10.002
An Interior Penalty Finite Element Method with Discontinuous Elements, SIAM Journal on Numerical Analysis, vol.19, issue.4, pp.742-760, 1982. ,
DOI : 10.1137/0719052
Mathematical Justification of the Hydrostatic Approximation in the Primitive Equations of Geophysical Fluid Dynamics, SIAM Journal on Mathematical Analysis, vol.33, issue.4, pp.847-859, 2001. ,
DOI : 10.1137/S0036141000375962
A fictitious domain/mortar element method for fluid-structure interaction, International Journal for Numerical Methods in Fluids, vol.79, issue.7, pp.743-761, 2001. ,
DOI : 10.1002/1097-0363(20010415)35:7<743::AID-FLD109>3.0.CO;2-A
The finite element method with Lagrangian multipliers, Numerische Mathematik, vol.12, issue.3, pp.179-192, 1972. ,
DOI : 10.1007/BF01436561
Symplectic Parareal, Lecture Notes in Computational Science and Engineering, vol.60, pp.401-408, 2008. ,
DOI : 10.1007/978-3-540-75199-1_51
The finite element method with Lagrange multipliers on the boundary: circumventing the Babu??ka-Brezzi condition, Computer Methods in Applied Mechanics and Engineering, vol.85, issue.1, pp.109-128, 1991. ,
DOI : 10.1016/0045-7825(91)90125-P
Finite element approximation of the Dirichlet problem using the boundary penalty method, Numerische Mathematik, vol.20, issue.4, pp.343-366, 1986. ,
DOI : 10.1007/BF01389536
A finite element method for domain decomposition with non-matching grids, ESAIM: Mathematical Modelling and Numerical Analysis, vol.37, issue.2, pp.209-225, 2003. ,
DOI : 10.1051/m2an:2003023
URL : https://hal.archives-ouvertes.fr/inria-00073065
The Mortar finite element method with Lagrange multipliers, Numerische Mathematik, vol.84, issue.2, pp.173-197, 1999. ,
DOI : 10.1007/s002110050468
A finite element solution of an added mass formulation for coupled fluid-solid vibrations, Numerische Mathematik, vol.87, issue.2, pp.201-227, 2000. ,
DOI : 10.1007/s002110000175
Domain decomposition by the mortar element method, in Asymptotic and numerical methods for partial differential equations with critical parameters, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci, vol.384, pp.269-286, 1992. ,
On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers, Revue fran??aise d'automatique, informatique, recherche op??rationnelle. Analyse num??rique, vol.8, issue.R2, pp.129-151, 1974. ,
DOI : 10.1051/m2an/197408R201291
A minimal stabilisation procedure for mixed finite element methods, Numerische Mathematik, vol.89, issue.3, pp.457-491, 2001. ,
DOI : 10.1007/PL00005475
Pressure projection stabilizations for Galerkin approximations of Stokes' and Darcy's problem, Numerical Methods for Partial Differential Equations, vol.191, issue.1, pp.127-143, 2008. ,
DOI : 10.1002/num.20243
Added-mass effect in the design of partitioned algorithms for fluid???structure problems, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.42-44, pp.4506-4527, 2005. ,
DOI : 10.1016/j.cma.2004.12.005
URL : https://hal.archives-ouvertes.fr/hal-00695954
A priori error estimates for hp penalty BEM for contact problems in elasticity, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.37-40, pp.3871-3880, 2007. ,
DOI : 10.1016/j.cma.2006.10.044
On the convergence of discrete approximations to the Navier-Stokes equations, Mathematics of Computation, vol.23, issue.106, pp.341-353, 1969. ,
DOI : 10.1090/S0025-5718-1969-0242393-5
Stable Parareal in Time Method for First- and Second-Order Hyperbolic Systems, SIAM Journal on Scientific Computing, vol.35, issue.1, pp.52-78, 2013. ,
DOI : 10.1137/110861002
Fluid-structure interaction, 2000. ,
Navier-Stokes/darcy coupling: modeling, analysis, and numerical approximation, Revista Matem??tica Complutense, vol.22, issue.2, pp.315-426, 2009. ,
DOI : 10.5209/rev_REMA.2009.v22.n2.16263
Les inéquations en mécanique et en physique, Travaux et Recherches Mathématiques, issue.21, 1972. ,
Theory and practice of finite elements, of Applied Mathematical Sciences, 2004. ,
DOI : 10.1007/978-1-4757-4355-5
Time-decomposed parallel time-integrators: theory and feasibility studies for fluid, structure, and fluid-structure applications, International Journal for Numerical Methods in Engineering, vol.36, issue.9, pp.1397-1434, 2003. ,
DOI : 10.1002/nme.860
Time-parallel implicit integrators for the near-real-time prediction of linear structural dynamic responses, International Journal for Numerical Methods in Engineering, vol.32, issue.5, pp.697-724, 2006. ,
DOI : 10.1002/nme.1653
Coupling schemes for incompressible fluid-structure interaction: implicit, semi-implicit and explicit, SeMA Journal, vol.40, issue.12, pp.59-108, 2011. ,
DOI : 10.1007/BF03322593
The derivation of the equations for fluids and structure, Cardiovascular mathematics, pp.77-121, 2009. ,
DOI : 10.1007/978-88-470-1152-6_3
Algorithms for fluid-structure interaction problems, Cardiovascular mathematics, pp.307-346, 2009. ,
DOI : 10.1007/978-88-470-1152-6_9
A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid, International Journal for Numerical Methods in Engineering, vol.9, issue.4, pp.794-821, 2007. ,
DOI : 10.1002/nme.1792
A comparison of mortar and Nitsche techniques for linear elasticity, Calcolo, pp.41-115, 2004. ,
Analysis of a Modified Parareal Algorithm for Second-Order Ordinary Differential Equations, AIP Conference Proceedings, 2007. ,
DOI : 10.1063/1.2790116
Analysis of a Krylov subspace enhanced parareal algorithm for linear problems, in Paris-Sud Working Group on Modelling and Scientific Computing, of ESAIM Proc., EDP Sci., Les Ulis, pp.114-129, 2007. ,
The boundary element method with Lagrangian multipliers, Numerical Methods for Partial Differential Equations, vol.110, issue.6, pp.1303-1319, 2009. ,
DOI : 10.1002/num.20401
Error analysis of a fictitious domain method applied to a Dirichlet problem, Japan Journal of Industrial and Applied Mathematics, vol.33, issue.3, pp.487-514, 1995. ,
DOI : 10.1007/BF03167240
Augmented Lagrangian and operator-splitting methods in nonlinear mechanics, SIAM Studies in Applied Mathematics, Society for Industrial and Applied Mathematics (SIAM), vol.9, 1989. ,
DOI : 10.1137/1.9781611970838
A fictitious domain method for Dirichlet problem and applications, Computer Methods in Applied Mechanics and Engineering, vol.111, issue.3-4, pp.283-303, 1994. ,
DOI : 10.1016/0045-7825(94)90135-X
An overview of projection methods for incompressible flows, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.44-47, pp.6011-6045, 2006. ,
DOI : 10.1016/j.cma.2005.10.010
Nitsche's method for interface problems in computational mechanics, GAMM- Mitteilungen, pp.183-206, 2005. ,
Handbook of Numerical Analysis Numerical methods for unilateral problems in solid mechanics, Ciarlet and J.L. Lions), vol.IV, issue.2, pp.313-385, 1996. ,
Mortar Boundary Elements, SIAM Journal on Numerical Analysis, vol.48, issue.4, pp.1395-1418, 2010. ,
DOI : 10.1137/090748342
An Improved a Priori Error Analysis for Finite Element Approximations of Signorini's Problem, SIAM Journal on Numerical Analysis, vol.50, issue.5, pp.2400-2419, 2012. ,
DOI : 10.1137/110857593
A new finite element formulation for computational fluid dynamics: VII. The stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces, Computer Methods in Applied Mechanics and Engineering, vol.65, issue.1, pp.65-85, 1987. ,
DOI : 10.1016/0045-7825(87)90184-8
Contact problems in elasticity : a study of variational inequalities and finite element methods, SIAM Studies in Applied Mathematics, Society for Industrial and Applied Mathematics (SIAM), vol.8, 1988. ,
DOI : 10.1137/1.9781611970845
Penalty/finite-element approximations of a class of unilateral problems in linear elasticity, Quarterly of Applied Mathematics, vol.39, issue.1, pp.1-22, 1981. ,
DOI : 10.1090/qam/613950
The RNS/Prandtl equations and their link with other asymptotic descriptions: Application to the wall shear stress scaling in a constricted pipe, International Journal of Engineering Science, vol.43, issue.3-4, pp.43-352, 2005. ,
DOI : 10.1016/j.ijengsci.2004.09.009
R??solution d'EDP par un sch??ma en temps ??parar??el ??, Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, pp.332-661, 2001. ,
DOI : 10.1016/S0764-4442(00)01793-6
Analysis of coupled models for fluid-structure interaction of internal flows, Cardiovascular mathematics, pp.279-306, 2009. ,
DOI : 10.1007/978-88-470-1152-6_8
Strongly elliptic systems and boundary integral equations, 2000. ,
Interactions fluides-structures, of Recherches en Mathématiques Appliquées, 1992. ,
Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind, pp.9-15, 1971. ,
Finite element methods for constrained problems in elasticity, International Journal for Numerical Methods in Engineering, vol.3, issue.5, pp.701-725, 1982. ,
DOI : 10.1002/nme.1620180507
Interior penalty methods for finite element approximations of the Signorini problem in elastostatics, Computers & Mathematics with Applications, vol.8, issue.1, pp.35-56, 1982. ,
DOI : 10.1016/0898-1221(82)90038-4
Mathematical models of mass transfer in the vascular walls, Cardiovascular mathematics, pp.243-278, 2009. ,
DOI : 10.1007/978-88-470-1152-6_7
The immersed boundary method, Acta Numerica, vol.11, pp.479-517, 2002. ,
Boundary subspaces for the finite element method with Lagrange multipliers, Numerische Mathematik, vol.31, issue.3, pp.273-289, 1979. ,
DOI : 10.1007/BF01398644
Generalized Newton???s methods for the approximation and resolution of frictional contact problems in elasticity, Computer Methods in Applied Mechanics and Engineering, vol.256, pp.38-55, 2013. ,
DOI : 10.1016/j.cma.2012.12.008
On some techniques for approximating boundary conditions in the finite element method, International Symposium on Mathematical Modelling and Computational Methods Modelling 94, pp.139-148, 1994. ,
DOI : 10.1016/0377-0427(95)00057-7
Une m??thode d'approximation de la solution des ??quations de Navier-Stokes, Bulletin de la Société mathématique de France, vol.79, pp.115-152, 1968. ,
DOI : 10.24033/bsmf.1662
Galerkin finite element methods for parabolic problems, of Springer Series in Computational Mathematics, 1997. ,
DOI : 10.1007/978-3-662-03359-3
Variationally consistent discretization schemes and numerical algorithms for contact problems, Acta Numerica, vol.6, pp.569-734, 2011. ,
DOI : 10.1016/j.cma.2005.06.003
URL : https://hal.archives-ouvertes.fr/hal-01382364