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Bibliography

Major publications by the team in recent years
  • 1L. Boilevin-Kayl, M. A. Fernández, J.-F. Gerbeau.

    A loosely coupled scheme for fictitious domain approximations of fluid-structure interaction problems with immersed thin-walled structures, in: SIAM Journal on Scientific Computing, February 2019, vol. 41, no 2, pp. 351-374. [ DOI : 10.1137/18M1192779 ]

    https://hal.inria.fr/hal-01811290
  • 2M. Boulakia.

    Quantification of the unique continuation property for the nonstationary Stokes problem, in: Mathematical Control and Related Fields, March 2016.

    https://hal.inria.fr/hal-01094490
  • 3M. Boulakia, S. Guerrero, T. Takahashi.

    Well-posedness for the coupling between a viscous incompressible fluid and an elastic structure, in: Nonlinearity, 2019, vol. 32, pp. 3548-3592. [ DOI : 10.1088/1361-6544/ab128c ]

    https://hal.inria.fr/hal-01939464
  • 4C. Grandmont, M. Hillairet.

    Existence of global strong solutions to a beam-fluid interaction system, in: Archive for Rational Mechanics and Analysis, 2016. [ DOI : 10.1007/s00205-015-0954-y ]

    https://hal.inria.fr/hal-01138736
  • 5M. Landajuela, M. Vidrascu, D. Chapelle, M. A. Fernández.

    Coupling schemes for the FSI forward prediction challenge: comparative study and validation, in: International Journal for Numerical Methods in Biomedical Engineering, 2017, vol. 33, no 4, e02813 p. [ DOI : 10.1002/cnm.2813 ]

    https://hal.inria.fr/hal-01239931
  • 6D. Lombardi, S. Pant.

    A non-parametric k-nearest neighbor entropy estimator, in: Physical Reviev E, January 2016. [ DOI : 10.1103/PhysRevE.93.013310 ]

    https://hal.inria.fr/hal-01272527
  • 7N. Pozin, S. Montesantos, I. Katz, M. Pichelin, I. Vignon-Clementel, C. Grandmont.

    Predicted airway obstruction distribution based on dynamical lung ventilation data: a coupled modeling-machine learning methodology, in: International Journal for Numerical Methods in Biomedical Engineering, May 2018, vol. 34, no 9. [ DOI : 10.1002/cnm.3108 ]

    https://hal.archives-ouvertes.fr/hal-01568065
  • 8A. This, L. Boilevin-Kayl, M. A. Fernández, J.-F. Gerbeau.

    Augmented Resistive Immersed Surfaces valve model for the simulation of cardiac hemodynamics with isovolumetric phases, in: International Journal for Numerical Methods in Biomedical Engineering, May 2019, forthcoming. [ DOI : 10.1002/cnm.3223 ]

    https://hal.inria.fr/hal-01944798
  • 9E. Tixier, F. Raphel, D. Lombardi, J.-F. Gerbeau.

    Composite biomarkers derived from Micro-Electrode Array measurements and computer simulations improve the classification of drug-induced channel block, in: Frontiers in Physiology, 2018, vol. 8, no 1096, pp. 1-30. [ DOI : 10.3389/fphys.2017.01096 ]

    https://hal.archives-ouvertes.fr/hal-01570819
Publications of the year

Doctoral Dissertations and Habilitation Theses

Articles in International Peer-Reviewed Journals

  • 12L. Boilevin-Kayl, M. A. Fernández, J.-F. Gerbeau.

    A loosely coupled scheme for fictitious domain approximations of fluid-structure interaction problems with immersed thin-walled structures, in: SIAM Journal on Scientific Computing, February 2019, vol. 41, no 2, pp. 351-374. [ DOI : 10.1137/18M1192779 ]

    https://hal.inria.fr/hal-01811290
  • 13L. Boilevin-Kayl, M. A. Fernández, J.-F. Gerbeau.

    Numerical methods for immersed FSI with thin-walled structures, in: Computers and Fluids, January 2019, vol. 179, pp. 744-763. [ DOI : 10.1016/j.compfluid.2018.05.024 ]

    https://hal.inria.fr/hal-01704575
  • 14M. Boulakia, S. Guerrero, T. Takahashi.

    Well-posedness for the coupling between a viscous incompressible fluid and an elastic structure, in: Nonlinearity, 2019, vol. 32, pp. 3548-3592. [ DOI : 10.1088/1361-6544/ab128c ]

    https://hal.inria.fr/hal-01939464
  • 15E. Burman, M. A. Fernández, S. Frei.

    A Nitsche-based formulation for fluid-structure interactions with contact, in: Modelisation Mathématique et Analyse Numérique, October 2019, forthcoming.

    https://hal.inria.fr/hal-01784841
  • 16M. A. Fernández, M. Landajuela.

    Splitting schemes and unfitted mesh methods for the coupling of an incompressible fluid with a thin-walled structure, in: IMA Journal of Numerical Analysis, January 2019. [ DOI : 10.1093/imanum/dry098 ]

    https://hal.inria.fr/hal-01309462
  • 17C. Grandmont, M. Hillairet, J. Lequeurre.

    Existence of local strong solutions to fluid-beam and fluid-rod interaction systems, in: Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, July 2019, vol. 36, no 4, pp. 1105-1149. [ DOI : 10.1016/j.anihpc.2018.10.006 ]

    https://hal.inria.fr/hal-01567661
  • 18A. This, L. Boilevin-Kayl, M. A. Fernández, J.-F. Gerbeau.

    Augmented Resistive Immersed Surfaces valve model for the simulation of cardiac hemodynamics with isovolumetric phases, in: International Journal for Numerical Methods in Biomedical Engineering, May 2019, forthcoming. [ DOI : 10.1002/cnm.3223 ]

    https://hal.inria.fr/hal-01944798
  • 19A. This, H. G. Morales, O. Bonnefous, M. A. Fernández, J.-F. Gerbeau.

    A pipeline for image based intracardiac CFD modeling and application to the evaluation of the PISA method, in: Computer Methods in Applied Mechanics and Engineering, 2019, vol. 358, no 1. [ DOI : 10.1016/j.cma.2019.112627 ]

    https://hal.archives-ouvertes.fr/hal-02142416

Other Publications

  • 20A. Alfonsi, R. Coyaud, V. Ehrlacher, D. Lombardi.

    Approximation of Optimal Transport problems with marginal moments constraints, May 2019, https://arxiv.org/abs/1905.05663 - working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-02128374
  • 21L. Boudin, C. Grandmont, B. Grec, S. Martin, A. Mecherbet, F. Noël.

    Fluid-kinetic modelling for respiratory aerosols with variable size and temperature, April 2019, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-02092574
  • 22M. Boulakia, E. Burman, M. A. Fernández, C. Voisembert.

    Data assimilation finite element method for the linearized Navier-Stokes equations in the low Reynolds regime, October 2019, working paper or preprint.

    https://hal.inria.fr/hal-02318504
  • 23M. Boulakia, M. De Buhan, E. Schwindt.

    Numerical reconstruction based on Carleman estimates of a source term in a reaction-diffusion equation. *, July 2019, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-02185889
  • 24E. Burman, M. A. Fernández, S. Frei, F. Gerosa.

    3D-2D Stokes-Darcy coupling for the modelling of seepage with an application to fluid-structure interaction with contact, December 2019, working paper or preprint.

    https://hal.inria.fr/hal-02417042
  • 25J.-J. Casanova, C. Grandmont, M. Hillairet.

    On an existence theory for a fluid-beam problem encompassing possible contacts, December 2019, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-02396915
  • 26V. Ehrlacher, L. Grigori, D. Lombardi, H. Song.

    Adaptive hierarchical subtensor partitioning for tensor compression, September 2019, working paper or preprint.

    https://hal.inria.fr/hal-02284456
  • 27V. Ehrlacher, D. Lombardi, O. Mula, F.-X. Vialard.

    Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces, September 2019, https://arxiv.org/abs/1909.06626 - working paper or preprint.

    https://hal.inria.fr/hal-02290431
  • 28M. A. Fernández, F. Gerosa.

    An unfitted mesh semi-implicit coupling scheme for fluid-structure interaction with immersed solids, September 2019, working paper or preprint.

    https://hal.inria.fr/hal-02288723
  • 29F. Galarce, J.-F. Gerbeau, D. Lombardi, O. Mula.

    State estimation with nonlinear reduced models. Application to the reconstruction of blood flows with Doppler ultrasound images, December 2019, https://arxiv.org/abs/1904.13367 - working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-02403686
  • 30D. Lombardi, F. Raphel.

    A greedy dimension reduction method for classification problems, September 2019, working paper or preprint.

    https://hal.inria.fr/hal-02280502
  • 31F. Raphel, T. De Korte, D. Lombardi, S. Braam, J.-F. Gerbeau.

    A greedy classifier optimisation strategy to assess ion channel blocking activity and pro-arrhythmia in hiPSC-cardiomyocytes, September 2019, working paper or preprint.

    https://hal.inria.fr/hal-02276945
References in notes
  • 32F. Alauzet, B. Fabrèges, M. A. Fernández, M. Landajuela.

    Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures, in: Comput. Methods Appl. Mech. Engrg., 2016, vol. 301, pp. 300–335.
  • 33E. Alpaydin.

    Introduction to machine learning, MIT press, 2009.
  • 34M. Astorino, J. Hamers, S. C. Shadden, J.-F. Gerbeau.

    A robust and efficient valve model based on resistive immersed surfaces, in: Int. J. Numer. Meth. Biomed. Engng., 2012, vol. 28, no 9, pp. 937–959.
  • 35F. Baaijens.

    A fictitious domain/mortar element method for fluid-structure interaction, in: Int. Jour. Num. Meth. Fluids, 2001, vol. 35, pp. 743-761.
  • 36L. Baffico, C. Grandmont, B. Maury.

    Multiscale modeling of the respiratory tract, in: Math. Models Methods Appl. Sci., 2010, vol. 20, no 1, pp. 59–93.
  • 37D. Boffi, N. Cavallini, L. Gastaldi.

    Finite element approach to immersed boundary method with different fluid and solid densities, in: Math. Models Methods Appl. Sci., 2011, vol. 21, no 12, pp. 2523–2550.
  • 38L. Boudin, L. Desvillettes, C. Grandmont, A. Moussa.

    Global existence of solutions for the coupled Vlasov and Navier-Stokes equations, in: Differential Integral Equations, 2009, vol. 22, no 11-12, pp. 1247–1271.
  • 39L. Boudin, C. Grandmont, A. Moussa.

    Global existence of solutions to the incompressible Navier-Stokes-Vlasov equations in a time-dependent domain, in: J. Differential Equations, 2017, vol. 262, no 3, pp. 1317–1340.

    https://doi.org/10.1016/j.jde.2016.10.012
  • 40L. Boudin, D. Götz, B. Grec.

    Diffusion models of multicomponent mixtures in the lung, in: CEMRACS 2009: Mathematical modelling in medicine, ESAIM Proc., EDP Sci., Les Ulis, 2010, vol. 30, pp. 90–103.
  • 41L. Breiman.

    Classification and regression trees, Routledge, 2017.
  • 42E. Burman.

    Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. Part I: Elliptic equations, in: SIAM J. Sci. Comput., 2013, vol. 35, no 6, pp. 2752-2780.
  • 43E. Burman, M. A. Fernández.

    An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes, in: Comput. Methods Appl. Mech. Engrg., 2014, vol. 279, pp. 497–514.
  • 44R. K. Calay, J. Kurujareon, A. E. Holdo.

    Numerical simulation of respiratory flow patterns within human lung, in: Respir. Physiol. Neurobiol., 2002, vol. 130, no 2, pp. 201–221.
  • 45P. Cazeaux, C. Grandmont.

    Homogenization of a multiscale viscoelastic model with nonlocal damping, application to the human lungs, in: Math. Models Methods Appl. Sci., 2015, vol. 25, no 6, pp. 1125–1177.
  • 46K. B. Chandran.

    Role of Computational Simulations in Heart Valve Dynamics and Design of Valvular Prostheses, in: Cardiovasc. Eng. Technol., 2010, vol. 1, no 1, pp. 18–38.
  • 47D. Chapelle, P. Moireau.

    General coupling of porous flows and hyperelastic formulations—From thermodynamics principles to energy balance and compatible time schemes, in: Eur. J. Mech. B Fluids., 2014, vol. 46, pp. 82–96.
  • 48C. Chnafa, S. Mendez, F. Nicoud.

    Image-Based Simulations Show Important Flow Fluctuations in a Normal Left Ventricle: What Could be the Implications?, in: Ann. Biomed. Eng., 2016, vol. 44, no 11, pp. 3346–3358.
  • 49T. Colatsky, B. Fermini, G. Gintant, J. B. Pierson, P. Sager, Y. Sekino, D. G. Strauss, N. Stockbridge.

    The comprehensive in vitro proarrhythmia assay (CiPA) initiative—update on progress, in: J. Pharmacol. Toxicol. Methods, 2016, vol. 81, pp. 15–20.
  • 50W. J. Crumb, J. Vicente, L. Johannesen, D. G. Strauss.

    An evaluation of 30 clinical drugs against the comprehensive in vitro proarrhythmia assay (CiPA) proposed ion channel panel, in: J. Pharmacol. Toxicol. Methods, 2016, vol. 81, pp. 251–262.
  • 51M. Fedele, E. Faggiano, L. Dedè, A. Quarteroni.

    A patient-specific aortic valve model based on moving resistive immersed implicit surfaces, in: Biomech. Model. Mechanobiol., 2017, vol. 16, no 5, pp. 1779–1803.
  • 52M. A. Fernández, J. Mullaert.

    Convergence and error analysis for a class of splitting schemes in incompressible fluid-structure interaction, in: IMA J. Numer. Anal., 2016, vol. 36, no 4, pp. 1748–1782.
  • 53H. Gao, L. Feng, N. Qi, C. Berry, B. Griffith, X. Luo.

    A coupled mitral valve-left ventricle model with fluid-structure interaction, in: Med. Eng. Phys., 09 2017, vol. 47, pp. 128–136.
  • 54R. Glowinski, T. Pan, T. Hesla, D. Joseph.

    A distributed Lagrange mutiplier/fictitious domain method for particulate flows, in: Int. J. of Multiphase Flow, 1999, vol. 25, pp. 755-794.
  • 55C. Grandmont, M. Hillairet.

    Existence of global strong solutions to a beam-fluid interaction system, in: Arch. Ration. Mech. Anal., 2016, vol. 220, no 3, pp. 1283–1333.
  • 56L. Grasedyck, D. Kressner, C. Tobler.

    A literature survey of low-rank tensor approximation techniques, in: GAMM-Mitt., 2013, vol. 36, no 1, pp. 53–78.
  • 57M. Hillairet.

    Lack of collision between solid bodies in a 2D incompressible viscous flow, in: Comm. Partial Differential Equations, 2007, vol. 32, no 7-9, pp. 1345–1371.
  • 58H. M. Himmel.

    Drug-induced functional cardiotoxicity screening in stem cell-derived human and mouse cardiomyocytes: effects of reference compounds, in: J. Pharmacol. Toxicol. Methods, 2013, vol. 68, no 1, pp. 97–111.
  • 59J. Kaipio, E. Somersalo.

    Statistical and computational inverse problems, Applied Mathematical Sciences, Springer-Verlag, New York, 2005, vol. 160.
  • 60D. Kamensky, M.-C. Hsu, Y. Yu, J. A. Evans, M. S. Sacks, T. J. R. Hughes.

    Immersogeometric cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines, in: Comput. Methods Appl. Mech. Engrg., 2017, vol. 314, pp. 408–472.
  • 61M. C. Lai, C. S. Peskin.

    An immersed boundary method with formal second-order accuracy and reduced numerical viscosity, in: J. Comp. Phys., 2000, vol. 160, no 2, pp. 705–719.
  • 62S. Martin, B. Maury.

    Modeling of the oxygen transfer in the respiratory process, in: ESAIM Math. Model. Numer. Anal., 2013, vol. 47, no 4, pp. 935–960.
  • 63R. Mittal, J. H. Seo, V. Vedula, Y. J. Choi, H. Liu, H. H. Huang, S. Jain, L. Younes, T. Abraham, R. T. George.

    Computational modeling of cardiac hemodynamics: current status and future outlook, in: J. Comput. Phys., 2016, vol. 305, pp. 1065–1082.
  • 64J. M. Oakes, S. C. Shadden, C. Grandmont, I. E. Vignon-Clementel.

    Aerosol transport throughout inspiration and expiration in the pulmonary airways, in: Int. J. Numer. Methods Biomed. Eng., 2017, vol. 33, no 9.
  • 65C. S. Peskin.

    The immersed boundary method, in: Acta Numer., 2002, vol. 11, pp. 479–517.
  • 66C. J. Roth, M. Ismail, L. Yoshihara, W. A. Wall.

    A comprehensive computational human lung model incorporating inter-acinar dependencies: Application to spontaneous breathing and mechanical ventilation, in: Int. J. Numer. Method. Biomed. Eng., 2016, vol. 33, no 1, e02787.
  • 67L. Yoshihara, C. J. Roth, W. A. Wall.

    Fluid-structure interaction including volumetric coupling with homogenised subdomains for modeling respiratory mechanics, in: Int. J. Numer. Method. Biomed. Eng., 2016, vol. 33, no 4, e2812.
  • 68V. de Silva, L.-H. Lim.

    Tensor rank and the ill-posedness of the best low-rank approximation problem, in: SIAM J. Matrix Anal. Appl., 2008, vol. 30, no 3, pp. 1084–1127.
  • 69R. van Loon, P. D. Anderson, J. de Hart, F. P. T. Baaijens.

    A combined fictitious domain/adaptive meshing method for fluid-structure interaction in heart valves, in: ‎Int. J. Numer. Methods Fluids, 2004, vol. 46, no 5, pp. 533–544.
  • 70M. J. van der Laan, S. Rose.

    Targeted learning, Springer Series in Statistics, Springer, New York, 2011.


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