Franz Chouly


Professeur
Institut de Mathématiques de Bourgogne
Université de Bourgogne

Email : Franz.Chouly-at-u-bourgogne.fr

Scientific interests


My research is focused on numerical analysis and scientific computing, with emphasis on finite element methodsand boundary/interface conditions such as it occurs in fluid-structure interaction and contact/friction. It encompasses both theoretical aspects (proofs of stability and optimal convergence) and applied aspects (multi-disciplinary projects and industrial / biomedical applications).


Main applications fields are solid/fluid mechanics and biomechanics. For instance :


An overview of my research on Nitsche’s method for contact and friction is available here.

Most of my numerical results are produced using GetFEM++ finite element library.


Theses

  1. Contributions au traitement des conditions limites et d’interface dans le cadre de la Méthode des Eléments Finis.
    F. Chouly. Habilitation à Diriger des Recherches de l’U.F.C. , Besançon, France. 12/2013.
    document
  2. Modélisation physique des voies aériennes supérieures pour le Syndrome d’Apnées Obstructives du Sommeil.
    F. Chouly. Thèse de Doctorat de l’I.N.P.G. , Grenoble, France. 12/2005.
    document


Post-doctoral supervision

  1. Huu Phuoc Bui (2017) Goal oriented a posteriori error estimation for hyperelastic contractile models applied to clinical biomechanics. Grant from the Agence Maths Entreprises (AMIES) and partnership with Marek Bucki (TexiSense, Grenoble).


PhD students

  1. Raphaël Bulle. Université du Luxembourg (2017-). Efficient error-controlled multi-level Monte-Carlo methods for stochastic elasticity problems. Co-advisors : Stéphane Bordas, Jack Hale, Alexei Lozinski.
    webpage
  2. Rabii Mlika. INSA Lyon (2015-2018). Nitsche method for frictional contact and self-contact : mathematical and numerical study. Co-advisor : Yves Renard.
    webpage / document
  3. Michel Duprez. Université de Franche-Comté (2012-2015). Controllability of some parabolic systems. Co-advisor : Farid Ammar Khodja.
    webpage / document
  4. Nicolas Hermant. Grenoble-INP (2011-2014). Observation, modeling and simulation of the vibrations of a vocal folds replica with application to pathological configurations. Co-advisors : Xavier Pelorson, Fabrice Silva.
    webpage / document


Preprints / submitted articles or notes

  1. Explicit Verlet time-integration for a Nitsche-based approximation of elastodynamic contact problems.
    F. Chouly & Y. Renard. Submitted.
    preprint
  2. Analysis of a stabilized penalty-free Nitsche method for the Brinkman, Stokes and Darcy problems.
    L. Blank, A. Caiazzo, F. Chouly, A. Lozinski & J. Mura. Submitted.
    preprint
  3. Quantifying discretization errors for soft-tissue simulation in computer assisted surgery : a preliminary study.
    M. Duprez, S.P.A. Bordas, M. Bucki, H.P. Bui, F. Chouly, V. Llleras, C. Lobos, A. Lozinski, P.-Y. Rohan & S. Tomar. Submitted.
    preprint
  4. A stabilised finite element method for a time-dependent problem solved using a fictitious domain method.
    G.R. Barrenechea, F. Chouly & C. Gonzalez. Submitted.
    preprint
  5. Computational fluid dynamics in the upper airway : comparison between different models and experimental data for a simplified geometry with major obstruction.
    F.E. Heravi, M.A. Nazari, F. Chouly, P. Perrier & Y. Payan. Submitted.
    preprint


International Journals

  1. Skew-symmetric Nitsche’s formulation in isogeometric analysis : Dirichlet and symmetry conditions, patch coupling and frictionless contact.
    Q. Hu, F. Chouly, P. Hu, G. Cheng & S.P.A. Bordas. Comput. Methods Appl. Mech. Engrg. To appear.
    preprint
  2. An unbiased Nitsche’s approximation of the frictional contact between two elastic structures.
    F. Chouly, R. Mlika & Y. Renard. Numer. Math. Vol. 139, pp.593-631, 2018.
    preprint
  3. Numerical study of the vibrations of an elastic container filled with an inviscid fluid.
    N. Hermant, F. Chouly, F. Silva & P. Luizard. ZAMM Z. Angew. Math. Mech.. Vol. 98, pp. 602-621, 2018.
    preprint
  4. Residual-based a posteriori error estimation for contact problems approximated by Nitsche’s method.
    F. Chouly, M. Fabre, P. Hild, J. Pousin & Y. Renard. IMA J. Numer. Anal. Vol. 38, pp. 921-954, 2018.
    preprint
  5. A clustering package for nucleotide sequences using Laplacian Eigenmaps and Gaussian Mixture Models.
    M. Bruneau, T. Mottet, S. Moulin, M. Kerbiriou, F. Chouly, S. Chrétien & C. Guyeux. Comput. Biol. Med. Vol. 93, pp. 66-74, 2018.
    preprint
  6. An unbiased Nitsche’s formulation of large deformation frictional contact and self-contact.
    R. Mlika, Y. Renard & F. Chouly. Comput. Methods Appl. Mech. Engrg. Vol. 325, pp. 265-288, 2017.
    preprint
  7. Partial null controllability of parabolic linear systems.
    F. Ammar Khodja, F. Chouly & M. Duprez. Math. Control Relat. Fields. Vol. 6, pp.185-216, 2016.
    preprint
  8. A time-parallel framework for coupling finite element and lattice Boltzmann methods.
    M. Astorino, F. Chouly & A. Quarteroni. Appl. Math. Res. Express. AMRX. Vol. 2016, pp. 24-67, 2016.
    preprint
  9. A Nitsche finite element method for dynamic contact : 2. Stability of the schemes and numerical experiments.
    F. Chouly, P. Hild & Y. Renard. ESAIM : Math. Model. Numer. Anal. Vol. 49, pp. 503-528, 2015.
    preprint
  10. A Nitsche finite element method for dynamic contact : 1. Semi-discrete problem analysis and time-marching schemes.
    F. Chouly, P. Hild & Y. Renard. ESAIM : Math. Model. Numer. Anal. Vol. 49, pp. 481-502, 2015.
    preprint
  11. Symmetric and non-symmetric variants of Nitsche’s method for contact problems in elasticity : theory and numerical experiments.
    F. Chouly, P. Hild & Y. Renard. Math. Comp. Vol. 84, pp. 1089-1112, 2015.
    preprint
  12. An adaptation of Nitsche’s method to the Tresca friction problem.
    F. Chouly. J. Math. Anal. Appl. Vol. 411 , pp. 329-339 , 2014.
    preprint
  13. A Nitsche-based method for unilateral contact problems : numerical analysis.
    F. Chouly & P. Hild. SIAM J. Numer. Anal. Vol. 51, Num. 2, pp. 1295–1307, 2013.
    preprint
  14. On convergence of the penalty method for unilateral contact problems.
    F. Chouly & P. Hild. Appl. Num. Math. Vol. 65, pp. 27-40, 2013.
    preprint
  15. A local projection stabilized method for fictitious domains.
    G.-R. Barrenechea & F. Chouly. Appl. Math. Lett. Vol. 25, Num. 12, pp. 2071-2076, 2012.
    preprint
  16. Comparison of computations of asymptotic flow models in a constricted channel. 
    F. Chouly & P.-Y. Lagrée. Appl. Math. Model. Vol. 36, Num. 12, pp. 6061–6071, 2012.
    preprint
  17. A Nitsche-based domain decomposition method for hypersingular integral equations. 
    F. Chouly & N. Heuer. Numer. Math. Vol. 121, Num. 4, pp. 705-729, 2012. 
    preprint
  18. Robin based semi-implicit coupling in fluid-structure interaction : stability analysis and numerics.
    M. Astorino, F. Chouly & M.-A. Fernández. SIAM J. Sci. Comput., Vol. 31, Num. 6, pp. 4041-4065, 2009.
    preprint
  19. A finite element method for the resolution of the Reduced Navier-Stokes/Prandtl equations.
    G.-R. Barrenechea & F. Chouly. ZAMM Z. Angew. Math. Mech., Vol. 89, Num. 1, pp. 54-68, 2009.
    preprint
  20. Modelling the human pharyngeal airway : validation of numerical simulations using in-vitro experiments.
    F. Chouly, A. Van Hirtum, P.-Y. Lagrée, X. Pelorson & Y. Payan. Med. Biol. Eng. Comput., Vol. 47, pp. 49-58, 2009. 
    preprint
  21. Numerical and experimental study of expiratory flow in the case of major upper airway obstructions with fluid-structure interaction. 
    F. Chouly, A. Van Hirtum, P.-Y. Lagrée, X. Pelorson & Y. Payan. J. Fluid. Struct. , Vol. 24, pp. 250-269, 2008. 
    preprint


Conference Proceedings (in books, with peer-review)

  1. Nitsche-based finite element method for contact with Coulomb friction.
    F. Chouly, P. Hild, V. Lleras, & Y. Renard. Lect. Notes Comput. Sci. Eng. To appear.
    Proceedings of the European Conference on Numerical Mathematics and Advanced Applications ENUMATH 2017. Editors : Florian A. Radu, Kundan Kumar, Inga Berre, Jan M. Nordbotten, Iuliu S. Pop.
    preprint
  2. An overview of recent results on Nitsche’s method for contact problems.
    F. Chouly, M. Fabre, P. Hild, R. Mlika, J. Pousin & Y. Renard. Lect. Notes Comput. Sci. Eng. Vol. 121, pp. 93-141, 2017.
    Proceedings of the UCL Workshop 2016 on Geometrically Unfitted Finite Element Methods and Applications. Editors : Stéphane Bordas, Erik Burman, Mats G. Larson and Maxim Olshanskii.
    preprint
  3. Simulation of the retroglossal fluid-structure interaction during Obstructive Sleep Apnea. 
    F. Chouly, A. Van Hirtum, P.-Y. Lagrée, J.-R. Paoli, X. Pelorson & Y. Payan. Lect. Notes Comput. Sci. Vol. 4072, pp. 48-57, 2006.
    Proceedings of the Third International Symposium ISBMS 2006 on Biomedical Simulation. Editors : Matthias Harders and Gábor Székely.
    preprint


Notes in CRAS

  1. Parareal multi-model numerical zoom for parabolic multiscale problems.
    F. Chouly & A. Lozinski. C. R. Math. Vol. 352, Num. 6, pp. 535-540, 2014.
    preprint
  2. An added-mass free semi-implicit coupling scheme for fluid-structure interaction.
    M. Astorino, F. Chouly & M.-A. Fernández. C. R. Math. Vol. 347, Num. 1-2, pp. 99-104, 2009.


Book chapter

  1. When a fluid-structure interaction keeps you awake : a physical approach to Obstructive Sleep Apnea.
    A. Van Hirtum, F. Chouly, P.-Y. Lagrée, J.-R. Paoli, Y. Payan & X. Pelorson. Chapter 2 of "Progress in Sleep Apnea Research", pp. 41-76, 2007. Editor : Robert T. Ferber. Nova Science Publishers. ISBN 1-60021-652-8.
    preprint

Lecture notes

  1. Sur la prise en compte de quelques conditions aux limites avec la méthode des éléments finis.
    F. Chouly. CEL (Cours en ligne) cel-01564693.
    document

National/international conferences (selection)

  1. Generalized local B-bar method for locking phenomenon in Reissner-Mindlin shell and skew-symmetric Nitsche method for boundary conditions imposing and patch coupling in IGA.
    Q. Hu, F. Chouly, A. Zilian, G. Cheng & S.P.A. Bordas. 7th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry, 2017.
    preprint
  2. Hydro-elastic finite element model of a vocal fold replica.
    N. Hermant, X. Pelorson, P. Luizard, F. Chouly & F. Silva. 22nd International Congress on Sound and Vibration, ICSV, 2015.
    preprint
  3. Modèle éléments finis d’un pli vocal artificiel avec couplage hydro-élastique.
    N. Hermant, F. Silva, F. Chouly & X. Pelorson. 12ème Congrès Français d’Acoustique, CFA 2014, pp. 1821-1827 [N°000323], 2014.
    preprint
  4. Evaluating soft tissue simulation in maxillofacial surgery using pre and post-operative CT scan.
    M. Chabanas, C. Marécaux, F. Chouly, F. Boutault & Y. Payan. 18th International Conference on Computer Assisted Radiology and Surgery, CARS 2004, ICS, Vol. 1268, pp. 419-424, 2004.
    preprint
  5. In-vitro study of pharyngeal pressure losses at the origin of obstructive sleep apnea.
    A. Van Hirtum, F. Chouly, A. Teulé, Y. Payan & X. Pelorson. 25th Annual International Conference of the IEEE Engineering In Medicine And Biology Society, pp. 371-374. 2003.
    preprint