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Ghislain Haine

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Since April 2013, I am Associate Professor in the department DISC of ISAE-SUPARERO.

I defended my PhD Thesis in October 2012, entitled Observateurs en dimension infinie. Application à l’étude de quelques problèmes inverses, under the supervision of Karim Ramdani and Marius Tucsnak.

You can contact me via one of the following ways :

- Mail address :

Institut Supérieur de l’Aéronautique et de l’Espace
Département DISC
10 avenue Édouard Belin - B.P. 54 032
31 055 Toulouse, Cedex 4
France

- E-Mail : Ghislain.Haine_at_isae.fr (replace _at_ by @)

- Phone : +33 561 338 087

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 Teaching

I am in charge of the core course of applied mathematics for the first and second year of ISAE-SUPAERO.

I teach :

  • optimisation
  • functional analysis
  • harmonic analysis
  • numerical analysis
  • theory and approximation of partial differential equations
  • distributions, operators and semigroups
  • introduction to mixed finite elements method

 Research

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Ghislain Haine
 
Google Scholar

In my PhD Thesis, I was interested in inverse problems for linear systems by the observers based algorithm introduced by Ramdani, Tucsnak and Weiss (Recovering the initial state of an infinite-dimensional system using observers, Automatica, vol. 46, pp. 1616-1625, 2010). Such problems arise for instance in medical imaging, meteorology, source identification and much more.

PhD advisor

  1. Guillaume Delay : with Michel Fournié. Started in November 2015, defense on August 2018, the 31st. (Currently : Associate Professor LJLL)
  2. Anass Serhani : with Denis Matignon. Started in October 2017, defense on September 2020, the 28th. (Currently : Post-Doc at CERFACS)
  3. Antoine Bendimerad-Hohl : with Denis Matignon and Laurent Lefèvre. Started in October 2022.
Number of items: 43.

Article

Haine, Ghislain and Matignon, Denis and Serhani, Anass. Numerical Analysis of a Structure-Preserving Space-Discretization for an Anisotropic and Heterogeneous Boundary Controlled N-Dimensional Wave Equation As a Port-Hamiltonian System. (2023) International Journal of Numerical Analysis and Modeling, 20 (1). 92-133. ISSN 1705-5105

Haine, Ghislain and Matignon, Denis and Monteghetti, Florian. Long-time behavior of a coupled heat-wave system using a structure-preserving finite element method. (2022) Mathematical Reports, 22 (1-2). 187-215. ISSN 2285-3898

Brugnoli, Andrea and Haine, Ghislain and Serhani, Anass and Vasseur, Xavier. Numerical Approximation of Port-Hamiltonian Systems for Hyperbolic or Parabolic PDEs with Boundary Control. (2021) Journal of Applied Mathematics and Physics, 09 (06). 1278-1321. ISSN 2327-4352

Monteghetti, Florian and Haine, Ghislain and Matignon, Denis. Asymptotic stability of the multidimensional wave equation coupled with classes of positive-real impedance boundary conditions. (2019) Mathematical Control & Related Fields, 9 (4). 759-791. ISSN 2156-8499

Haine, Ghislain. Recovering the observable part of the initial data of an infinite-dimensional linear system with skew-adjoint generator. (2014) Mathematics of Control, Signals, and Systems, 26 (3). 435-462. ISSN 0932-4194

Haine, Ghislain and Ramdani, Karim. Reconstructing initial data using observers: error analysis of the semi-discrete and fully discrete approximations. (2012) Numerische Mathematik, 120 (2). 307-343. ISSN 0029-599X

Haine, Ghislain and Ramdani, Karim. Observateurs itératifs en horizon fini. Application à la reconstruction de données initiales pour des EDP d'évolution. (2011) Journal Européen des Systèmes Automatisés (JESA), 45 (7-10). 715-724. ISSN 1269-6935

Conference or Workshop Item

Bendimerad-Hohl, Antoine and Haine, Ghislain and Matignon, Denis and Maschke, Bernhard. Structure-preserving discretization of a coupled Allen-Cahn and heat equation system. (2022) In: 4th IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory - TFMST 2022, 25 July 2022 - 27 July 2022 (Montreal, Canada).

Treton, Anne-Sophie and Haine, Ghislain and Matignon, Denis. Modelling the 1D piston problem as interconnected port-Hamiltonian systems. (2020) In: The 21st World Congress of The International Federation of Automatic Control (IFAC 2020), 11 July 2020 - 17 July 2020 (Virtual event, Germany).

Serhani, Anass and Haine, Ghislain and Matignon, Denis. Anisotropic heterogeneous n-D heat equation with boundary control and observation : I. Modeling as port-Hamiltonian system. (2019) In: 3rd IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory (TFMST 2019), 3 July 2019 - 5 July 2019 (Louvain-la-Neuve, Belgium).

Serhani, Anass and Haine, Ghislain and Matignon, Denis. Anisotropic heterogeneous n-D heat equation with boundary control and observation : II. Structure-preserving discretization. (2019) In: 3rd IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory (TFMST 2019), 3 July 2019 - 5 July 2019 (Louvain-la-Neuve, Belgium).

Serhani, Anass and Matignon, Denis and Haine, Ghislain. Structure-Preserving Finite Volume Method for 2D Linear and Non-Linear Port-Hamiltonian Systems. (2018) In: 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 1 May 2018 - 4 May 2018 (Valparaíso, Chile).

Haine, Ghislain. Closed-loop perturbations of well-posed linear systems. (2017) In: The 20th World Congress of The International Federation of Automatic Control (IFAC 2017), 9 July 2017 - 14 July 2017 (Toulouse, France).

Monteghetti, Florian and Haine, Ghislain and Matignon, Denis. Stability of Linear Fractional Differential Equations with Delays: a coupled Parabolic-Hyperbolic PDEs formulation. (2017) In: The 20th World Congress of The International Federation of Automatic Control (IFAC 2017), 9 July 2017 - 14 July 2017 (Toulouse, France).

Haine, Ghislain. An observer-based approach for thermoacoustic tomography. (2014) In: The 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), 7 July 2014 - 11 July 2014 (Groningen, Netherlands).

Haine, Ghislain. Reconstruction de la partie observable de l'état initial d'un système linéaire conservatif. (2014) In: Workshop Observateurs, 10 April 2014 - 11 April 2014 (Nancy, France). (Unpublished)

Haine, Ghislain. Recovering the initial state of a Well-Posed Linear System with skew-adjoint generator. (2014) In: Workshop New trends in modeling, control and inverse problems, 16 June 2014 - 19 June 2014 (Toulouse, France). (Unpublished)

Haine, Ghislain. Solving Thermoacoustic Tomography with an observer-based algorithm. (2014) In: Journées Ondes du Sud-Ouest, 5 February 2014 - 7 February 2014 (Toulouse, France). (Unpublished)

Haine, Ghislain. Reconstructing initial data using iterative observers for wave type systems. (2013) In: 11th International Conference on Mathematical and Numerical Aspects of Waves (WAVES 2013), 03-07 Jun 2013, Gammarth, Tunisia .

Haine, Ghislain. Recovering the initial state of dynamical systems using observers. (2013) In: 8th workshop on Control of Distributed Parameter Systems - CDPS'13, 01-05 Jul 2013 , Craiova, Romania . (Unpublished)

Haine, Ghislain and Phung, Kim Dang and Ramdani, Karim. Iterative observers for inverse problems. (2011) In: Conference of the European GDR Control of PDEs, 21-23 Nov 2011, Marseille, France . (Unpublished)

Haine, Ghislain and Ramdani, Karim. Reconstructing initial data using iterative observers for wave type systems. A numerical analysis. (2011) In: The 10th International Conference on the Mathematical and Numerical Aspects of Waves (WAVES 2011), 25-29 Jul 2011, Vancouver, Canada .

Invited Conference

Brugnoli, Andrea and Haine, Ghislain and Matignon, Denis. Explicit structure-preserving discretization of port-Hamiltonian systems with mixed boundary control. (2022) In: 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022), 12 September 2022 - 16 September 2022 (Bayreuth, Germany).

Haine, Ghislain and Lefèvre, Laurent and Matignon, Denis. PFEM: a mixed structure-preserving discretization method for port-Hamiltonian systems. (2022) In: International Workshop on Operator Theory and its Applications, 6 September 2022 - 10 September 2022 (Cracovie, Poland).

Haine, Ghislain and Matignon, Denis and Monteghetti, Florian. Structure-preserving discretization of Maxwell’s equations as a port-Hamiltonian system. (2022) In: 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022), 12 September 2022 - 16 September 2022 (Bayreuth, Germany).

Haine, Ghislain and Matignon, Denis. Incompressible Navier-Stokes Equation as port-Hamiltonian systems: velocity formulation versus vorticity formulation. (2021) In: Lagrangian and Hamiltonian Methodes for Nonlinear Control (7th LHMNC 2021), 11 October 2021 - 13 October 2021 (Berlin, Germany).

Brugnoli, Andrea and Matignon, Denis and Haine, Ghislain and Serhani, Anass. Numerics for Physics-Based PDEs with Boundary Control: the Partitioned Finite Element Method for Port-Hamiltonian Systems. (2021) In: SIAM Conference on Computational Science and Engineering (CSE21), 1 March 2021 - 5 March 2021 (Virtual conference, Unknown).

Payen, Gabriel and Matignon, Denis and Haine, Ghislain. Modelling and structure-preserving discretization of Maxwell’s equations as port-Hamiltonian system. (2020) In: The 21st World Congress of The International Federation of Automatic Control (IFAC 2020), 11 July 2020 - 17 July 2020 (Virtual event, Germany).

Brugnoli, Andrea and Cardoso-Ribeiro, Flávio Luiz and Haine, Ghislain and Kotyczka, Paul. Partitioned finite element method for structured discretization with mixed boundary conditions. (2020) In: 21th IFAC World Congress, 11 July 2020 - 17 July 2020 (Berlin, Germany).

Serhani, Anass and Matignon, Denis and Haine, Ghislain. Partitioned Finite Element Method for port-Hamiltonian systems with Boundary Damping: Anisotropic Heterogeneous 2D wave equations. (2019) In: 3rd IFAC/IEEE CSS Workshop on Control of Systems Governed by Partial Differential Equations CPDE and XI Workshop Control of Distributed Parameter Systems (CDPS 2019), 20 May 2019 - 24 May 2019 (Oaxaca, Mexico).

Haine, Ghislain and Raymond, Jean-Pierre. Simulations of control for Navier-Stokes equations. (2016) In: Congrès CANUM 2016 43e Congrès National d'Analyse Numérique, 9 May 2016 - 13 May 2016 (Obernai, France). (Unpublished)

Haine, Ghislain. Systèmes linéaires invariants en temps de dimension infinie : un aperçu. (2016) In: Journée Scientifique de la Fédération Charles Hermite - Estimation des systèmes dynamiques, 6 October 2016 (Nancy, France). (Unpublished)

Haine, Ghislain. Recovering the observable part of the initial data of an infinite-dimensional linear system with perturbed skew-adjoint generator using observers. (2015) In: 2015 European Control Conference (ECC), 15 July 2015 (Linz, Austria).

Haine, Ghislain and Phung, Kim Dang and Ramdani, Karim. Observateurs itératifs pour Maxwell. (2011) In: Journée Thématique Problèmes Inverses de la Fédération Charles Hermite, 7 June 2011 (Nancy, France). (Unpublished)

Other Conference

Haine, Ghislain. Back and forth observers: application to TAT. (2017) In: Seminar of applied mathematics, 10 February 2017 (Londres, United Kingdom). (Unpublished)

Haine, Ghislain. Reconstruction de la partie observable de la donnée initiale d'un système linéaire. (2012) In: Séminaire de mathématiques appliquées, 13 Dec 2012, Clermont-Ferrand, France . (Unpublished)

Book Section

Delay, Guillaume and Ervedoza, Sylvain and Fournié, Michel and Haine, Ghislain. Numerical simulation on a fixed mesh for the feedback stabilization of a fluid–structure interaction system with a structure given by a finite number of parameters. (2021) In: Advances in Critical Flow Dynamics Involving Moving/Deformable Structures with Design Applications, Proc. of the IUTAM Symposium on Critical Flow Dynamics involving Moving/Deformable Structures with Design applications, June 18-22, 2018, Santorini, Greece. (Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM)). Springer, 195-211. ISBN 978-3-030-55593-1

Haine, Ghislain and Matignon, Denis. Structure-Preserving Discretization of a Coupled Heat-Wave System, as Interconnected Port-Hamiltonian Systems. (2021) In: Geometric Science of Information. Springer International Publishing AG, 191-199.

Serhani, Anass and Matignon, Denis and Haine, Ghislain. A Partitioned Finite Element Method for the Structure-Preserving Discretization of Damped Infinite-Dimensional Port-Hamiltonian Systems with Boundary Control. (2019) In: Geometric Science of Information. Springer International Publishing AG, Cham, Suisse, 549-558. ISBN 978-3-030-26980-7

Thesis

Haine, Ghislain. Observateurs en dimension infinie. Application à l'étude de quelques problèmes inverses. PhD, Applied Mathematics, Université de Lorraine, Nancy, 2012, 192 p.

Report

Verrier, Gabriel and Matignon, Denis and Haine, Ghislain. Modelling and structure-preserving discretization of the Schrödinger equation as a port-Hamiltonian system, and simulation of a controlled quantum box. (2023) [Report] (Unpublished)

Bendimerad-Hohl, Antoine and Matignon, Denis and Haine, Ghislain. Structure-preserving discretization of Allen-Cahn and Cahn-Hilliard equations, as port-Hamiltonian systems. (2022) [Report] (Unpublished)

Payen, Gabriel and Matignon, Denis and Haine, Ghislain. Internship report : Simulation of plasma and Maxwell's equations using the port-Hamiltonian approach. (2018) [Report] (Unpublished)

This list was generated on Thu Mar 28 02:09:16 2024 CET.

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