EN FR
EN FR
Research Program
New Software and Platforms
Bilateral Contracts and Grants with Industry
Bibliography
Research Program
New Software and Platforms
Bilateral Contracts and Grants with Industry
Bibliography


Bibliography

Major publications by the team in recent years
  • 1A. Aggarwal, R. M. Colombo, P. Goatin.

    Nonlocal systems of conservation laws in several space dimensions, in: SIAM Journal on Numerical Analysis, 2015, vol. 52, no 2, pp. 963-983.

    https://hal.inria.fr/hal-01016784
  • 2L. Almeida, P. Bagnerini, A. Habbal, S. Noselli, F. Serman.

    A Mathematical Model for Dorsal Closure, in: Journal of Theoretical Biology, January 2011, vol. 268, no 1, pp. 105-119. [ DOI : 10.1016/j.jtbi.2010.09.029 ]

    http://hal.inria.fr/inria-00544350/en
  • 3B. Andreianov, P. Goatin, N. Seguin.

    Finite volume schemes for locally constrained conservation laws, in: Numer. Math., 2010, vol. 115, no 4, pp. 609–645, With supplementary material available online.
  • 4S. Blandin, P. Goatin.

    Well-posedness of a conservation law with non-local flux arising in traffic flow modeling, in: Numerische Mathematik, 2015. [ DOI : 10.1007/s00211-015-0717-6 ]

    https://hal.inria.fr/hal-00954527
  • 5R. M. Colombo, P. Goatin.

    A well posed conservation law with a variable unilateral constraint, in: J. Differential Equations, 2007, vol. 234, no 2, pp. 654–675.
  • 6M. L. Delle Monache, P. Goatin.

    Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result, in: J. Differential Equations, 2014, vol. 257, no 11, pp. 4015–4029.
  • 7M. L. Delle Monache, J. Reilly, S. Samaranayake, W. Krichene, P. Goatin, A. Bayen.

    A PDE-ODE model for a junction with ramp buffer, in: SIAM J. Appl. Math., 2014, vol. 74, no 1, pp. 22–39.
  • 8R. Duvigneau, P. Chandrashekar.

    Kriging-based optimization applied to flow control, in: Int. J. for Numerical Methods in Fluids, 2012, vol. 69, no 11, pp. 1701-1714.
  • 9A. Habbal, M. Kallel.

    Neumann-Dirichlet Nash strategies for the solution of elliptic Cauchy problems, in: SIAM J. Control Optim., 2013, vol. 51, no 5, pp. 4066–4083.
  • 10M. Kallel, R. Aboulaich, A. Habbal, M. Moakher.

    A Nash-game approach to joint image restoration and segmentation, in: Appl. Math. Model., 2014, vol. 38, no 11-12, pp. 3038–3053.

    http://dx.doi.org/10.1016/j.apm.2013.11.034
  • 11M. Martinelli, R. Duvigneau.

    On the use of second-order derivative and metamodel-based Monte-Carlo for uncertainty estimation in aerodynamics, in: Computers and Fluids, 2010, vol. 37, no 6.
  • 12S. Roy, A. Borzì, A. Habbal.

    Pedestrian motion modelled by Fokker–Planck Nash games, in: Royal Society open science, 2017, vol. 4, no 9, 170648 p.
  • 13M. Twarogowska, P. Goatin, R. Duvigneau.

    Macroscopic modeling and simulations of room evacuation, in: Appl. Math. Model., 2014, vol. 38, no 24, pp. 5781–5795.
  • 14G. Xu, B. Mourrain, A. Galligo, R. Duvigneau.

    Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method, in: J. Comput. Physics, November 2013, vol. 252.
  • 15B. Yahyaoui, M. Ayadi, A. Habbal.

    Fisher-KPP with time dependent diffusion is able to model cell-sheet activated and inhibited wound closure, in: Mathematical biosciences, 2017, vol. 292, pp. 36–45.
Publications of the year

Doctoral Dissertations and Habilitation Theses

  • 16K. Chahour.

    Modeling coronary blood flow using a non newtonian fluid model : fractional flow reserve estimation, Université Nice Sophia Antipolis, December 2019.

    https://hal.inria.fr/tel-02430901

Articles in International Peer-Reviewed Journals

  • 17F. Berthelin, P. Goatin.

    Regularity results for the solutions of a non-local model of traffic, in: Discrete and Continuous Dynamical Systems - Series A, 2019, vol. 39, no 6, pp. 3197-3213.

    https://hal.archives-ouvertes.fr/hal-01813760
  • 18E. Bertino, R. Duvigneau, P. Goatin.

    Uncertainty quantification in a macroscopic traffic flow model calibrated on GPS data, in: Mathematical Biosciences and Engineering, 2019, forthcoming.

    https://hal.archives-ouvertes.fr/hal-02379540
  • 19K. Chahour, R. Aboulaich, A. Habbal, N. Zemzemi, C. Abdelkhirane.

    Virtual FFR quantified with a generalized flow model using Windkessel boundary conditions ; Application to a patient-specific coronary tree, in: Computational and Mathematical Methods in Medicine, 2020, forthcoming.

    https://hal.inria.fr/hal-02427411
  • 20R. Chamekh, A. Habbal, M. Kallel, N. Zemzemi.

    A nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology, in: Mathematical Modelling of Natural Phenomena, February 2019, vol. 14, no 2, 15 p, forthcoming. [ DOI : 10.1051/mmnp/2018059 ]

    https://hal.archives-ouvertes.fr/hal-01923819
  • 21F. A. Chiarello, J. Friedrich, P. Goatin, S. Göttlich, O. Kolb.

    A non-local traffic flow model for 1-to-1 junctions, in: European Journal of Applied Mathematics, 2019, forthcoming.

    https://hal.archives-ouvertes.fr/hal-02142345
  • 22F. A. Chiarello, P. Goatin.

    Non-local multi-class traffic flow models, in: Networks and Heterogeneous Media, 2019.

    https://hal.archives-ouvertes.fr/hal-01853260
  • 23F. A. Chiarello, P. Goatin, E. Rossi.

    Stability estimates for non-local scalar conservation laws, in: Nonlinear Analysis: Real World Applications, 2019, vol. 45, pp. 668-687, https://arxiv.org/abs/1801.05587. [ DOI : 10.1016/j.nonrwa.2018.07.027 ]

    https://hal.inria.fr/hal-01685806
  • 24F. A. Chiarello, P. Goatin, L. M. Villada.

    Lagrangian-Antidiffusive Remap schemes for non-local multi-class traffic flow models, in: Computational and Applied Mathematics, 2019, forthcoming.

    https://hal.archives-ouvertes.fr/hal-01952378
  • 25M. M. R. Elsawy, S. Lanteri, R. Duvigneau, G. Brière, M. S. Mohamed, P. Genevet.

    Global optimization of metasurface designs using statistical learning methods, in: Scientific Reports, November 2019, vol. 9, no 1. [ DOI : 10.1038/s41598-019-53878-9 ]

    https://hal.archives-ouvertes.fr/hal-02156881
  • 26C. Fiorini, C. Chalons, R. Duvigneau.

    A modified sensitivity equation method for the Euler equations in presence of shocks, in: Numerical Methods for Partial Differential Equations, 2019, forthcoming.

    https://hal.inria.fr/hal-01817815
  • 27P. Goatin, N. Laurent-Brouty.

    The zero relaxation limit for the Aw-Rascle-Zhang traffic flow model, in: Zeitschrift für Angewandte Mathematik und Physik, January 2019, vol. 70, no 31. [ DOI : 10.1007/s00033-018-1071-1 ]

    https://hal.inria.fr/hal-01760930
  • 28P. Goatin, E. Rossi.

    A multi-lane macroscopic traffic flow model for simple networks, in: SIAM Journal on Applied Mathematics, 2019, vol. 79, no 5, https://arxiv.org/abs/1904.04535. [ DOI : 10.1137/19M1254386 ]

    https://hal.inria.fr/hal-02092690
  • 29P. Goatin, E. Rossi.

    Well-posedness of IBVP for 1D scalar non-local conservation laws, in: Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2019, vol. 99, no 11, https://arxiv.org/abs/1811.09044. [ DOI : 10.1002/zamm.201800318 ]

    https://hal.inria.fr/hal-01929196
  • 30A. Habbal, M. Kallel, M. Ouni.

    Nash strategies for the inverse inclusion Cauchy-Stokes problem, in: Inverse Problems and Imaging , 2019, vol. 13, no 4, 36 p. [ DOI : 10.3934/ipi.2019038 ]

    https://hal.inria.fr/hal-01945094
  • 31E. Rossi, J. Kötz, P. Goatin, S. Göttlich.

    Well-posedness of a non-local model for material flow on conveyor belts, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2019, https://arxiv.org/abs/1902.06488 - MSC: 35L65, 65M12, forthcoming. [ DOI : 10.1051/m2an/2019062 ]

    https://hal.inria.fr/hal-02022654
  • 32E. Rossi.

    Well-posedness of general 1D Initial Boundary Value Problems for scalar balance laws, in: Discrete and Continuous Dynamical Systems - Series A, 2019, vol. 39, no 6, pp. 3577-3608, https://arxiv.org/abs/1809.06066. [ DOI : 10.3934/dcds.2019147 ]

    https://hal.inria.fr/hal-01875159
  • 33T. Zineb, R. Ellaia, A. Habbal.

    New hybrid algorithm based on nonmonotone spectral gradient and simultaneous perturbation, in: International Journal of Mathematical Modelling and Numerical Optimisation, 2019, vol. 9, no 1, pp. 1-23. [ DOI : 10.1504/IJMMNO.2019.096911 ]

    https://hal.inria.fr/hal-01944548

International Conferences with Proceedings

  • 34A. Festa, P. Goatin.

    Modeling the impact of on-line navigation devices in traffic flows, in: CDC 2019 - 58th IEEE Conference on Decision and Control, Nice, France, IEEE Conference on Decision and Control, December 2019.

    https://hal.archives-ouvertes.fr/hal-02379576
  • 35S.-X. Tang, A. Keimer, P. Goatin, A. Bayen.

    A study on minimum time regulation of a bounded congested road with upstream flow control, in: CDC 2019 - 58th IEEE Conference on Decision and Control, Nice, France, IEEE Conference on Decision and Control, December 2019.

    https://hal.archives-ouvertes.fr/hal-02379589

Conferences without Proceedings

  • 36R. Duvigneau.

    Adaptive Refinement for Compressible Flow Analysis using an Isogeometric Discontinuous Galerkin Method, in: IGA 2019 - 7th International Conference on Isogeometric Analysis, Munich, Germany, September 2019.

    https://hal.inria.fr/hal-02313641
  • 37R. Duvigneau, S. Pezzano, M. Stauffert.

    A NURBS-based Discontinuous Galerkin method for CAD compliant flow simulations, in: SHARK-FV 2019 - Conference on Sharing Higher-order Advanced Research Know-how on Finite Volume, Minho, Portugal, May 2019.

    https://hal.inria.fr/hal-02303621
  • 38M. M. R. Elsawy, S. Lanteri, R. Duvigneau, G. Brière, P. Genevet.

    Optimized 3D metasurface for maximum light deflection at visible range, in: META 2019 - 10th International Conference on Metamaterials, Photonic Crystals and Plasmonics, Lisbonne, Portugal, July 2019, vol. 2019.

    https://www.hal.inserm.fr/inserm-02430395
  • 39S. Pezzano, R. Duvigneau.

    An Arbitrary Lagrangian Eulerian Formulation for Isogeometric Discontinuous Galerkin Schemes, in: IGA 2019 - 7th International Conference on Isogeometric Analysis, Munich, Germany, September 2019.

    https://hal.inria.fr/hal-02313649
  • 40M. Stauffert, R. Duvigneau.

    Shape Sensitivity Analysis for Hyperbolic Systems using an Isogeometric Discontinuous Galerkin Method, in: IGA 2019 - 7th International Conference on Isogeometric Analysis, Munich, Germany, September 2019.

    https://hal.inria.fr/hal-02313657

Internal Reports

  • 41J.-A. Desideri.

    Platform for prioritized multi-objective optimization by metamodel-assisted Nash games, Inria Sophia Antipolis, September 2019, no RR-9290.

    https://hal.inria.fr/hal-02285197
  • 42J.-A. Désidéri, R. Duvigneau.

    Direct and adaptive approaches to multi-objective optimization, Inria - Sophia Antipolis, September 2019, no RR-9291.

    https://hal.inria.fr/hal-02285899

Other Publications

References in notes
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    Nonlocal systems of conservation laws in several space dimensions, in: SIAM Journal on Numerical Analysis, 2015, vol. 52, no 2, pp. 963-983.

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    A Mathematical Model for Dorsal Closure, in: Journal of Theoretical Biology, January 2011, vol. 268, no 1, pp. 105-119. [ DOI : 10.1016/j.jtbi.2010.09.029 ]

    http://hal.inria.fr/inria-00544350/en
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    On the Numerical Integration of Scalar Nonlocal Conservation Laws, in: ESAIM M2AN, 2015, vol. 49, no 1, pp. 19–37.
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    On nonlocal conservation laws modelling sedimentation, in: Nonlinearity, 2011, vol. 24, no 3, pp. 855–885.
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    The Kalai-Smorodinski solution for many-objective Bayesian optimization, in: BayesOpt workshop at NIPS 2017 - 31st Conference on Neural Information Processing Systems, Long Beach, United States, December 2017, pp. 1-6.

    https://hal.inria.fr/hal-01656393
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    Well-posedness of a conservation law with non-local flux arising in traffic flow modeling, in: Numer. Math., 2016, vol. 132, no 2, pp. 217–241.

    https://doi.org/10.1007/s00211-015-0717-6
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    Anisotropic Organised Eddy Simulation for the prediction of non-equilibrium turbulent flows around bodies, in: J. of Fluids and Structures, 2008, vol. 24, no 8, pp. 1240–1251.
  • 71A. Bressan, S. Čanić, M. Garavello, M. Herty, B. Piccoli.

    Flows on networks: recent results and perspectives, in: EMS Surv. Math. Sci., 2014, vol. 1, no 1, pp. 47–111.
  • 72M. Burger, M. Di Francesco, P. A. Markowich, M.-T. Wolfram.

    Mean field games with nonlinear mobilities in pedestrian dynamics, in: Discrete Contin. Dyn. Syst. Ser. B, 2014, vol. 19, no 5, pp. 1311–1333.
  • 73M. Burger, J. Haskovec, M.-T. Wolfram.

    Individual based and mean-field modelling of direct aggregation, in: Physica D, 2013, vol. 260, pp. 145–158.
  • 74A. Cabassi, P. Goatin.

    Validation of traffic flow models on processed GPS data, 2013, Research Report RR-8382.

    https://hal.inria.fr/hal-00876311
  • 75J. A. Carrillo, S. Martin, M.-T. Wolfram.

    A local version of the Hughes model for pedestrian flow, 2015, Preprint.
  • 76K. Chahour, R. Aboulaich, A. Habbal, N. Zemzemi, C. Abdelkhirane.

    Virtual FFR quantified with a generalized flow model using Windkessel boundary conditions ; Application to a patient-specific coronary tree, in: Computational and Mathematical Methods in Medicine, 2020.

    https://hal.inria.fr/hal-02427411
  • 77C. Chalons, M. L. Delle Monache, P. Goatin.

    A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem, 2015, Preprint.
  • 78F. A. Chiarello, P. Goatin, L. M. Villada.

    High-order Finite Volume WENO schemes for non-local multi-class traffic flow models, in: XVII International Conference on Hyperbolic Problems Theory, Numerics, Applications, University Park, Pennsylvania, United States, June 2018.

    https://hal.archives-ouvertes.fr/hal-01979543
  • 79C. Claudel, A. M. Bayen.

    Lax-Hopf Based Incorporation of Internal Boundary Conditions Into Hamilton-Jacobi Equation. Part II: Computational Methods, in: Automatic Control, IEEE Transactions on, May 2010, vol. 55, no 5, pp. 1158-1174.
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    Convex formulations of data assimilation problems for a class of Hamilton-Jacobi equations, in: SIAM J. Control Optim., 2011, vol. 49, no 2, pp. 383–402.
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    A Class Of Nonloval Models For Pedestrian Traffic, in: Mathematical Models and Methods in Applied Sciences, 2012, vol. 22, no 04, 1150023 p.
  • 82R. M. Colombo, M. Herty, M. Mercier.

    Control of the continuity equation with a non local flow, in: ESAIM Control Optim. Calc. Var., 2011, vol. 17, no 2, pp. 353–379.
  • 83R. M. Colombo, M. Lécureux-Mercier.

    Nonlocal crowd dynamics models for several populations, in: Acta Math. Sci. Ser. B Engl. Ed., 2012, vol. 32, no 1, pp. 177–196.
  • 84R. M. Colombo, F. Marcellini.

    A mixed ODE-PDE model for vehicular traffic, in: Mathematical Methods in the Applied Sciences, 2015, vol. 38, no 7, pp. 1292–1302.
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    On the micro-macro limit in traffic flow, in: Rend. Semin. Mat. Univ. Padova, 2014, vol. 131, pp. 217–235.
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    Discussion about traffic junction modelling: conservation laws vs Hamilton-Jacobi equations, in: Discrete Contin. Dyn. Syst. Ser. S, 2014, vol. 7, no 3, pp. 411–433.
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    Large-scale dynamics of mean-field games driven by local Nash equilibria, in: J. Nonlinear Sci., 2014, vol. 24, no 1, pp. 93–115.

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    A front tracking method for a strongly coupled PDE-ODE system with moving density constraints in traffic flow, in: Discrete Contin. Dyn. Syst. Ser. S, 2014, vol. 7, no 3, pp. 435–447.
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    A Sensitivity Equation Method for Unsteady Compressible Flows: Implementation and Verification, Inria Research Report No 8739, June 2015.
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    Split of Territories in Concurrent Optimization, Inria, October 2007, no 6108, 34 p, https://hal.inria.fr/inria-00127194.
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    Multiple-gradient descent algorithm (MGDA) for multiobjective optimization, in: Comptes Rendus de l'Académie des Sciences Paris, 2012, vol. 350, pp. 313-318.

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    1, in: Multiple-Gradient Descent Algorithm (MGDA) for Pareto-Front Identification, Modeling, Simulation and Optimization for Science and Technology, Fitzgibbon, W.; Kuznetsov, Y.A.; Neittaanmäki, P.; Pironneau, O. Eds., Springer-Verlag, 2014, vol. 34, J. Périaux and R. Glowinski Jubilees.
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    Révision de l'algorithme de descente à gradients multiples (MGDA) par orthogonalisation hiérarchique, Inria, April 2015, no 8710.
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    Particle methods for pedestrian flow models: from microscopic to nonlocal continuum models, in: Math. Models Methods Appl. Sci., 2014, vol. 24, no 12, pp. 2503–2523.
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    Traffic flow on networks, AIMS Series on Applied Mathematics, American Institute of Mathematical Sciences (AIMS), Springfield, MO, 2006, vol. 1, Conservation laws models.
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    Coupling of microscopic and phase transition models at boundary, in: Netw. Heterog. Media, 2013, vol. 8, no 3, pp. 649–661.
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