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, n^o 2, pp. 963-983.

https://hal.inria.fr/hal-01016784
2L. Almeida, P. Bagnerini, A. Habbal.

Modeling actin cable contraction, in: Comput. Math. Appl., 2012, vol. 64, n^o 3, pp. 310–321.

http://dx.doi.org/10.1016/j.camwa.2012.02.041
3L. Almeida, P. Bagnerini, A. Habbal, S. Noselli, F. Serman.

A Mathematical Model for Dorsal Closure, in: Journal of Theoretical Biology, January 2011, vol. 268, n^o 1, pp. 105-119. [ DOI : 10.1016/j.jtbi.2010.09.029 ]

http://hal.inria.fr/inria-00544350/en
4B. Andreianov, P. Goatin, N. Seguin.

Finite volume schemes for locally constrained conservation laws, in: Numer. Math., 2010, vol. 115, n^o 4, pp. 609–645, With supplementary material available online.
5L. Blanchard, R. Duvigneau, A.-V. Vuong, B. Simeon.

Shape gradient for isogeometric structural design, in: J. Optimization Theory and Applications, 2014, vol. 161, n^o 2.
6S. 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
7R. M. Colombo, P. Goatin.

A well posed conservation law with a variable unilateral constraint, in: J. Differential Equations, 2007, vol. 234, n^o 2, pp. 654–675.
8M. 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, n^o 11, pp. 4015–4029.
9M. 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, n^o 1, pp. 22–39.
10R. Duvigneau, P. Chandrashekar.

Kriging-based optimization applied to flow control, in: Int. J. for Numerical Methods in Fluids, 2012, vol. 69, n^o 11, pp. 1701-1714.
11J.-A. Désidéri.

5: Partage de territoire en ingénierie concourante, in: Optimisation Multidisciplinaire en Mécanique 1: démarche de conception, stratégies collaboratives et concourantes, multiniveau de modèles et de paramètres, sous la direction de Rajan Filomeno Coelho, Piotr Breitkopf, Hermes Science Publications-Lavoisier, 2009, ISBN 978-2-7462-2195-6.
12J.-A. Désidéri.

7: Two-discipline Optimization, in: Multidisciplinary Design Optimization in Computational Mechanics, Piotr Breitkopf and Rajan Filomeno Coelho eds., ISTE London and John Wiley, April 2010, pp. 287-320, ISBN: 9781848211384.
13J.-A. Désidéri.

Multiple-gradient descent algorithm (MGDA) for multiobjective optimization, in: Comptes Rendus de l'Académie des Sciences Paris, 2012, vol. 350, pp. 313-318.

http://dx.doi.org/10.1016/j.crma.2012.03.014
14J.-A. Désidéri.

Multiple-Gradient Descent Algorithm (MGDA) for Pareto-Front Identification, in: Numerical Methods for Differential Equations, Optimization, and Technological Problems, 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.
15J.-A. Désidéri, R. Duvigneau, B. Abou El Majd, J. Zhao.

7: Optimisation de forme paramétrique multiniveau, in: Optimisation Multidisciplinaire en Mécanique 1: démarche de conception, stratégies collaboratives et concourantes, multiniveau de modèles et de paramètres, sous la direction de Rajan Filomeno Coelho, Piotr Breitkopf, Hermes Science Publications-Lavoisier, 2009, ISBN 978-2-7462-2195-6.
16J.-A. Désidéri, R. Duvigneau, A. Habbal.

Multi-Objective Design Optimization Using Nash Games, in: Computational Intelligence in Aerospace Sciences, V. M. Becerra and M. Vassile Eds., Progress in Astronautics and Aeronautics, T. C. Lieuwen Ed.-in-Chief, American Institute for Aeronautics and Astronautics Inc., Reston, Virginia, 2014, vol. 244.
17J.-A. Désidéri.

Revision of the Multiple-Gradient Descent Algorithm (MGDA) by Hierarchical Orthogonalization, Inria Sophia Antipolis ; Inria, April 2015, n^o RR-8710.

https://hal.inria.fr/hal-01139994
18M. Garavello, P. Goatin.

The Cauchy problem at a node with buffer, in: Discrete Contin. Dyn. Syst., 2012, vol. 32, n^o 6, pp. 1915–1938.
19P. Goatin, M. Mimault.

A mixed system modeling two-directional pedestrian flows, in: Mathematical Biosciences and Engineering, 2015, vol. 12, n^o 2, pp. 375-392.

https://hal.inria.fr/hal-00968396
20E. Guilmineau, R. Duvigneau, J. Labroquère.

Optimization of jet parameters to control the flow on a ramp, in: Compte rendu de l'Académie des Sciences, June 2014, vol. 342, n^o 6–7.
21A. Habbal, H. Barelli, G. Malandain.

Assessing the ability of the 2D Fisher-KPP equation to model cell-sheet wound closure, in: Math. Biosci., 2014, vol. 252, pp. 45–59.

http://dx.doi.org/10.1016/j.mbs.2014.03.009
22A. Habbal, M. Kallel.

Neumann-Dirichlet Nash strategies for the solution of elliptic Cauchy problems, in: SIAM J. Control Optim., 2013, vol. 51, n^o 5, pp. 4066–4083.

http://dx.doi.org/10.1137/120869808
23M. Kallel, R. Aboulaich, A. Habbal, M. Moakher.

A Nash-game approach to joint image restoration and segmentation, in: Appl. Math. Model., 2014, vol. 38, n^o 11-12, pp. 3038–3053.

http://dx.doi.org/10.1016/j.apm.2013.11.034
24E. R. León, A. L. Pape, J.-A. Désidéri, D. Alfano, M. Costes.

Concurrent Aerodynamic Optimization of Rotor Blades Using a Nash Game Method, in: Journal of the American Helicopter Society, American Helicopter Society International Inc. Ed., 2014.
25M. 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, n^o 6.
26F. Poirion.

Stochastic Multi Gradient Descent Algorithm, ONERA, July 2014.
27M. Twarogowska, P. Goatin, R. Duvigneau.

Macroscopic modeling and simulations of room evacuation, in: Appl. Math. Model., 2014, vol. 38, n^o 24, pp. 5781–5795.
28G. 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.
29A. Zerbinati, A. Minelli, I. Ghazlane, J.-A. Désidéri.

Meta-Model-Assisted MGDA for Multi-Objective Functional Optimization, in: Computers and Fluids, 2014, vol. 102, pp. 116-130.

Publications of the year

Articles in International Peer-Reviewed Journals

30A. Aggarwal, R. M. Colombo, P. Goatin.

Nonlocal systems of conservation laws in several space dimensions, in: SIAM Journal on Numerical Analysis, 2015, vol. 52, n^o 2, pp. 963-983.

https://hal.inria.fr/hal-01016784
31M. Ayadi, A. Gdhami, A. Habbal, M. Mokni, B. Yahyaoui.

Improving the mechanical performances of a multilayered plate with the orientations of its layers of fibers, in: Computers and Mathematics with Applications, October 2015, vol. 70, n^o 8, 14 p. [ DOI : 10.1016/j.camwa.2015.08.009 ]

https://hal.inria.fr/hal-01247521
32A. Benki, A. Habbal, G. Mathis, O. Beigneux.

Multicriteria shape design of an aerosol can, in: journal of computational design and engineering, 2015, 11 p. [ DOI : 10.1016/j.jcde.2015.03.003 ]

https://hal.inria.fr/hal-01144269
33S. 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
34R. Duvigneau, J. Labroquère, E. Guilmineau.

Comparison of turbulence closures for optimized active control, in: Computers and Fluids, January 2016, n^o 124. [ DOI : 10.1016/j.compfluid.2015.10.011 ]

https://hal.inria.fr/hal-01251823
35P. Goatin, S. Göttlich, O. Kolb.

Speed limit and ramp meter control for traffic flow networks, in: Engineering Optimization, 2015. [ DOI : 10.1080/0305215X.2015.1097099 ]

https://hal.archives-ouvertes.fr/hal-01234592
36P. Goatin, M. Mimault.

A mixed system modeling two-directional pedestrian flows, in: Mathematical Biosciences and Engineering, 2015, vol. 12, n^o 2, pp. 375-392.

https://hal.inria.fr/hal-00968396
37P. Goatin, S. Scialanga.

Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity, in: Networks and Hetereogeneous Media, January 2016.

https://hal.archives-ouvertes.fr/hal-01234584
38L. L. Obsu, M. L. Delle Monache, P. Goatin, S. M. Kassa.

Traffic flow optimization on roundabouts, in: Mathematical Methods in the Applied Sciences, 2015, vol. 38, n^o 14, pp. 3075–3096. [ DOI : 10.1002/mma.3283 ]

https://hal.inria.fr/hal-00939985
39F.-Z. Oujebbour, A. Habbal, R. Ellaia.

Optimization of stamping process parameters to predict and reduce springback and failure criterion, in: Structural and Multidisciplinary Optimization, February 2015, vol. 51, n^o 2. [ DOI : 10.1007/s00158-014-1138-3 ]

https://hal.inria.fr/hal-01247533
40D. Szubert, I. Asproulias, F. Grossi, R. Duvigneau, Y. Hoarau, M. Braza.

Numerical study of the turbulent transonic interaction and transition location effect involving optimisation around a supercritical airfoil, in: European Journal of Mechanics - B/Fluids, January 2016, vol. 55, n^o 2.

https://hal.inria.fr/hal-01251813

International Conferences with Proceedings

41R. Duvigneau, J. Labroquère, E. Guilmineau.

Numerical and Modeling Issues for Optimization of Flow Control Devices, in: 50th 3AF Conference on Applied Aerodynamics, Toulouse, France, March 2015.

https://hal.inria.fr/hal-01119650

Internal Reports

42R. Duvigneau.

A Sensitivity Equation Method for Unsteady Compressible Flows: Implementation and Verification, Inria, June 2015, n^o RR-8739, 34 p.

https://hal.inria.fr/hal-01161957
43J.-A. Désidéri.

Revision of the Multiple-Gradient Descent Algorithm (MGDA) by Hierarchical Orthogonalization, Inria Sophia Antipolis ; Inria, April 2015, n^o RR-8710.

https://hal.inria.fr/hal-01139994

Other Publications

44G. Costeseque, A. DURET.

Mesoscopic multiclass traffic flow modeling on multi-lane sections, January 2016, working paper or preprint.

https://hal.archives-ouvertes.fr/hal-01250438
45P. Goatin, F. Rossi.

A traffic flow model with non-smooth metric interaction: well-posedness and micro-macro limit, October 2015, working paper or preprint.

https://hal.archives-ouvertes.fr/hal-01215944

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48L. Almeida, P. Bagnerini, A. Habbal.

Modeling actin cable contraction, in: Comput. Math. Appl., 2012, vol. 64, n^o 3, pp. 310–321.

http://dx.doi.org/10.1016/j.camwa.2012.02.041
49L. Almeida, P. Bagnerini, A. Habbal, S. Noselli, F. Serman.

A Mathematical Model for Dorsal Closure, in: Journal of Theoretical Biology, January 2011, vol. 268, n^o 1, pp. 105-119. [ DOI : 10.1016/j.jtbi.2010.09.029 ]

http://hal.inria.fr/inria-00544350/en
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Uncertainties in traffic flow and model validation on GPS data, In preparation.
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On nonlocal conservation laws modelling sedimentation, in: Nonlinearity, 2011, vol. 24, n^o 3, pp. 855–885.
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59M. Burger, J. Haskovec, M.-T. Wolfram.

Individual based and mean-field modelling of direct aggregation, in: Physica D, 2013, vol. 260, pp. 145–158.
60A. Cabassi, P. Goatin.

Validation of traffic flow models on processed GPS data, Inria, 2013, n^o 8382, https://hal.inria.fr/hal-00876311 .
61F. Camilli, E. Carlini, C. Marchi.

A model problem for Mean Field Games on networks, in: Discrete and Continuous Dynamical Systems, 2015, vol. 35, n^o 9, pp. 4173-4192.
62J. A. Carrillo, S. Martin, M.-T. Wolfram.

A local version of the Hughes model for pedestrian flow, 2015, Preprint.
63C. Chalons, M. L. Delle Monache, P. Goatin.

A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem, 2015, Preprint.
64C. Claudel, A. 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, n^o 5, pp. 1158-1174.
65C. G. Claudel, A. M. Bayen.

Convex formulations of data assimilation problems for a class of Hamilton-Jacobi equations, in: SIAM J. Control Optim., 2011, vol. 49, n^o 2, pp. 383–402.
66R. M. Colombo, M. Garavello, M. Lécureux-Mercier.

A class of nonlocal models for pedestrian traffic, in: Mathematical Models and Methods in Applied Sciences, 2012, vol. 22, n^o 04, 1150023 p.
67R. 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, n^o 2, pp. 353–379.
68R. M. Colombo, M. Lécureux-Mercier.

Nonlocal crowd dynamics models for several populations, in: Acta Math. Sci. Ser. B Engl. Ed., 2012, vol. 32, n^o 1, pp. 177–196.
69R. M. Colombo, F. Marcellini.

A mixed ODE–PDE model for vehicular traffic, in: Mathematical Methods in the Applied Sciences, 2015, vol. 38, n^o 7, pp. 1292–1302.
70G. Costeseque, J.-P. Lebacque.

Discussion about traffic junction modelling: conservation laws vs Hamilton-Jacobi equations, in: Discrete Contin. Dyn. Syst. Ser. S, 2014, vol. 7, n^o 3, pp. 411–433.
71J. Cottrell, T. Hughes, Y. Bazilevs.

Isogeometric analysis : towards integration of CAD and FEA, John Wiley & sons, 2009.
72G. Crippa, M. Lécureux-Mercier.

Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow, in: Nonlinear Differential Equations and Applications NoDEA, 2012, pp. 1-15.
73E. Cristiani, B. Piccoli, A. Tosin.

How can macroscopic models reveal self-organization in traffic flow?, in: Decision and Control (CDC), 2012 IEEE 51st Annual Conference on, Dec 2012, pp. 6989-6994.
74E. Cristiani, B. Piccoli, A. Tosin.

Multiscale modeling of pedestrian dynamics, MS&A. Modeling, Simulation and Applications, Springer, Cham, 2014, vol. 12, xvi+260 p.
75C. M. Dafermos.

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76P. Degond, J.-G. Liu, C. Ringhofer.

Large-scale dynamics of mean-field games driven by local Nash equilibria, in: J. Nonlinear Sci., 2014, vol. 24, n^o 1, pp. 93–115.

http://dx.doi.org/10.1007/s00332-013-9185-2
77M. L. Delle Monache, P. Goatin.

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, n^o 3, pp. 435–447.
78M. 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, n^o 11, pp. 4015–4029.
79B. Després, G. Poëtte, D. Lucor.

Robust uncertainty propagation in systems of conservation laws with the entropy closure method, in: Uncertainty quantification in computational fluid dynamics, Lect. Notes Comput. Sci. Eng., Springer, Heidelberg, 2013, vol. 92, pp. 105–149.
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82R. Duvigneau, D. Pelletier.

A sensitivity equation method for fast evaluation of nearby flows and uncertainty analysis for shape parameters, in: Int. J. of Computational Fluid Dynamics, August 2006, vol. 20, n^o 7, pp. 497–512.
83J.-A. Désidéri.

Multiple-gradient descent algorithm (MGDA) for multiobjective optimization, in: Comptes Rendus de l'Académie des Sciences Paris, 2012, vol. 350, pp. 313-318.

http://dx.doi.org/10.1016/j.crma.2012.03.014
84J.-A. Désidéri.

Multiple-Gradient Descent Algorithm (MGDA) for Pareto-Front Identification, in: Numerical Methods for Differential Equations, Optimization, and Technological Problems, 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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7: Optimisation de forme paramétrique multiniveau, in: Optimisation Multidisciplinaire en Mécanique 1: démarche de conception, stratégies collaboratives et concourantes, multiniveau de modèles et de paramètres, sous la direction de Rajan Filomeno Coelho, Piotr Breitkopf, Hermes Science Publications-Lavoisier, 2009, ISBN 978-2-7462-2195-6.
86J.-A. Désidéri.

Revision of the Multiple-Gradient Descent Algorithm (MGDA) by Hierarchical Orthogonalization, Inria Sophia Antipolis ; Inria, April 2015, n^o RR-8710.

https://hal.inria.fr/hal-01139994
87R. Erban, M. B. Flegg, G. A. Papoian.

Multiscale stochastic reaction-diffusion modeling: application to actin dynamics in filopodia, in: Bull. Math. Biol., 2014, vol. 76, n^o 4, pp. 799–818.

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Convergence of methods for coupling of microscopic and mesoscopic reaction-diffusion simulations, in: J. Comput. Phys., 2015, vol. 289, pp. 1–17.

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Multiscale reaction-diffusion algorithms: PDE-assisted Brownian dynamics, in: SIAM J. Appl. Math., 2013, vol. 73, n^o 3, pp. 1224–1247.

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Assessing the ability of the 2D Fisher-KPP equation to model cell-sheet wound closure, in: Math. Biosci., 2014, vol. 252, pp. 45–59.

http://dx.doi.org/10.1016/j.mbs.2014.03.009
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Traffic and related self-driven many-particle systems, in: Rev. Mod. Phys., 2001, vol. 73, pp. 1067–1141.
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Self-organizing pedestrian movement, in: Environment and planning B, 2001, vol. 28, n^o 3, pp. 361–384.
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109A. Kurganov, A. Polizzi.

Non-Oscillatory Central Schemes for a Traffic Flow Model with Arrehenius Look-Ahead Dynamics, in: Netw. Heterog. Media, 2009, vol. 4, n^o 3, pp. 431-451.
110J. Labroquère, R. Duvigneau, E. Guilmineau.

Impact of Turbulence Closures and Numerical Errors for the Optimization of Flow Control Devices, in: 21th AIAA Computational Fluid Dynamics Conference, San Diego, USA, 2013.
111A. Lachapelle, M.-T. Wolfram.

On a mean field game approach modeling congestion and aversion in pedestrian crowds, in: Transportation Research Part B: Methodological, 2011, vol. 45, n^o 10, pp. 1572 - 1589.
112J.-M. Lasry, P.-L. Lions.

Mean field games, in: Jpn. J. Math., 2007, vol. 2, n^o 1, pp. 229–260.
113W. Li, L. Huyse, S. Padula.

Robust airfoil optimization to achieve consistent drag reduction over a Mach range, ICASE, August 2001, n^o 2001–22.
114G. Lin, C.-H. Su, G. Karniadakis.

Predicting shock dynamics in the presence of uncertainties, in: Journal of Computational Physics, 2006, n^o 217, pp. 260-276.
115B. A. E. Majd, J.-A. Desideri, R. Duvigneau.

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