Arnaud Diego Münch

Professeur

Université Blaise Pascal, Clermont-Ferrand, France

Laboratoire de Mathématiques, UMR CNRS 6620

10

  1. Contact
  2. CV
  3. Thèmes de recherche actuels
  4. Thèmes de recherche anciens
  5. Enseignement
  6. Conférences à Clermont-Ferrand
  7. Proposition de sujet de thèse au laboratoire
  8. Exposés récents
  9. Pré-publications
  10. Publications
  11. Thèse et Habilitation
  12. Documents non publiés
  13. Liens


Contact

Arnaud Münch
Laboratoire de Mathématiques
Campus Universitaire des Cezeaux
3, place Vasarely - 63178 Aubière cedex - France
Tel: +33 (0)4 73 40 70 76
Fax: +33 (0)4 73 40 70 64
E-mail: arnaud.munch@math.univ-bpclermont.fr


Curriculum vitæ


CV long (maj. Septembre 2015): Curriculum vitæ (Pdf)

- Responsable du Master Mathématiques Spécialité Recherche
(lien).

- Editeur aux Annales Mathématiques Blaise Pascal (lien).

- Membre du conseil du laboratoire de mathématiques de l'université Blaise Pascal.

- Responsable de l'équipe Equations aux dérivees partielle et analyse numérique (lien).

- Correspondant local de la Société de Mathématiques Appliquée et Industrielle.



Thèmes de recherches actuels

- Contrôlabilité et problèmes inverses pour des EDPs linéaire et non linéaire;

- Analyse numérique de problèmes de contrôlabilité et de stabilisation.



Thèmes de recherches anciens

- Problème mathématique de la mécanique du solide : élasticité non linéaire et théorie des coques;

- Mécanique de la rupture et propagation de fissure dans les milieux elastiques homogènes ;

- Relaxation et optimisation de forme pour des EDP d'évolutions.



Enseignement


- Janvier-Février 2016 : Cours Introduction à la théorie du contrôle et applications de l'école doctorale des sciences fondamentales.

- Janvier 2016 : Sujet de l'examen du cours Introduction à la théorie du contrôle du master mathématique recherche II. ( Corrigé )

- Janvier 2016 : Sujet de l'examen du cours Analyse fonctionnelle du Master Mathématique Recherche I.

- Janvier 2016 : Sujet de l'examen du cours Mathématique de la licence 3 physique appliquée et ingénierie.



Conférences à Clermont-Ferrand


- juin 2011 : Controlabilité, Problèmes Inverses et Applications.

- mai 2012: CANUM 2012.

- Octobre 2014 : Controlabilité, Problèmes Inverses et Applications.



Proposition de sujet de thèse - Septembre 2016


- Contrôlabilité et problème inverse en mécanique des fluides.

- Controllability and inverse problem in Fluid mechanics.





Exposés récents


- Workshop on control, Inverse problems and stabilization of infinite dimensional systems . Marrakesh, December 12-16, 2016.

- Inverse problems for linear PDEs via variational formulations: Robust numerical approximations . Clermont-Ferrand, 2015, November 19. ( lien )

- Inverse problems for linear PDEs via variational formulations: Robust numerical approximations . CIRM, Luminy 2015, November 9. ( lien )

- Inverse problems for linear hyperbolic equations via mixed formulation. Pekin 2015, July 3. ( lien )

- About Least-squares type approachs to address direct and controllability problems for PDEs. Chambery 2015, June 15. ( lien )

- Inverse problems for linear hyperbolic equations via mixed formulations. Besancon 2015, March 5. ( lien )

- Inverse problems for linear hyperbolic equations via a mixed formulation. Marseille 2014, Nov 28. ( lien )

- Controllability of the linear 1D wave equation with inner moving forces. Toulouse 2014, May 27.

- Mixed formulations for the direct approximation of L2-weighted null controls for the linear heat equation. PICOF 2014, Hammamet (Tunisie), May.

- Optimal design problems in a dynamical context: an overview. PICOF 2014, Hammamet (Tunisie), May.

- Controllability of the linear 1D wave equation with inner moving forces. Monastir (Tunisie), January 2014.

- Controllability of the linear 1D wave equation with inner moving forces. Seville (Espagne), January 2014.

- Approximation of controls by primal methods. CDPS 2013, Craiova (Roumanie), July 2013.

- Remarks about the numerical approximation of controls for a semi-linear heat equation. Workshop on PDEs RIO 2012, Rio de Janeiro, August 2012.

- On the numerical computation of controls for the 1D heat equation . Workshop on Control, Seville 2011.

- Controllability of a string submitted to unilateral constraint . Trimester control, IHP, Fall 2010.

- Remarks on the null controllability of elastic arch and shell . Strasbourg 09.

- Long time behavior of a two-phase optimal design for the heat equation . Seville 09 (lien).

- Relaxation of optimal designs problems . Tours 08.

- Optimal design of the support of the control for the wave equation . Workshop PDEs, August 2007.



Pré-publications


- Inverse problems for linear parabolic equations using mixed formulations - Part 2 : Numerical Analysis and experiments. Soumis.

- About least-squares type approach to address direct and controllability problems, avec Pablo Pedregal. Proceeding MIS Chambery 2015S



Publications


  1. Simultaneous reconstruction of the solution and the source of hyperbolic equations from boundary measurements: a robust numerical approach, avec Nicolae Cîndea. To appear in Inverse problems.

  2. Inverse problems for linear parabolic equations using mixed formulations - Part 1 : Theoretical analysis, avec Diego Araujo de Souza. To appear in Journal of Inverse and Ill posed problems.

  3. On the numerical controllability of the two-dimensional heat, Stokes and Navier-Stokes equations , avec E. Fernandez-Cara et Diego Araujo de Souza (Sevilla). To appear in Journal of Scientific Computing. (DOI 10.1007/s10915-016-0266-x)

  4. Robust optimal Robin boundary control for the transient heat equation with random input data. International Journal for Numerical Methods in Engineering, 108 , 116-135 (2016) [avec J. Martinez-Frutos, M. Kessler et F. Periago].

  5. Best decay rate, observability and open-loop admissibility costs: discussions and numerical study, avec Kais Ammari (Monastir). Journal of Dynamics and Differential equations. (DOI 10.1007/s10884-015-9496-0).

  6. A mixed formulation for the direct approximation of the control of minimal L^2-weighted norm for the linear heat equation. Advances in Computational Mathematics, 42(1), 85-125 (2016) [avec Diego Araujo de Souza].


  7. Inverse problem for linear hyperbolic equations using mixed formulations. Inverse Problems, 31(7) 075001 (2015) [avec Nicolae Cîndea].

  8. A mixed formulation for the direct approximation of the control of minimal L^2-norm for linear type wave equations. Calcolo, 52(03), 245-288 (2015) [avec Nicolae Cîndea (Clermont-Ferrand)].

  9. A least-squares formulation for the approximation of controls for the Stokes system. Mathematics of Control, Signals, and Systems, 27, 49-75 (2015).


  10. Controllability of the linear 1D-wave equation with inner moving forces, SIAM Control and Optimization 52(06), 4027-4056 (2014) [avec Carlos Castro (Madrid) et Nicolae Cîndea (Clermont-Ferrand)].

  11. Numerical null controllability of the heat equation through a least squares and variational approach. European Journal of Applied Mathematics, 25(03), 277-306 (2014) [avec Pablo Pedregal].

  12. Numerical null controllability of the 1D heat equation: Duality and Carleman weights. J. Optimization, Theory and Applications, 163(01), 253-285 (2014) [avec Enrique Fernández-Cara].


  13. A least-squares formulation for the approximation of null controls for the Stokes system . C.R. Acad. Sci. Paris, Série. I 351, 545-550 (2013) [avec Pablo Pedregal].

  14. Numerical approximation of bang-bang controls for the heat equation: an optimal design approach. Systems and Control letters, 62, 643-655 (2013) [avec Francisco Periago].

  15. Numerical controllability of the wave equation through primal methods and Carleman estimates. ESAIM:COCV, 19(4), 1076-1108 (2013) [avec Nicolae Cîndea (Clermont-Ferrand) et E. Fernández-Cara].

  16. A variational approach to approximate controls for system with essential spectrum: application to the membranal arch. Evolution Equations and Control Theory (AIMS), 2(1), 119-151 (2013).

  17. Strong convergent approximations of null controls for the heat equation. SéMA Journal, 61(1), 49-78 (2013) [avec Enrique Fernández-Cara].


  18. Numerical null controllability of semi-linear 1D heat equations : fixed point, least squares and Newton methods, Mathematical Control and Related Fields (AIMS), 3(2), 217-246 (2012) [avec Enrique Fernández-Cara].


  19. Numerical null controllability of a semi-linear 1D heat equation via a least squares reformulation. C.R. Acad. Sci. Paris, Série. I, 349, 867-871 (2011) [avec Enrique Fernández-Cara (Sevilla)].

  20. Exact controllability of a system of mixed order with essential spectrum. SIAM Control and Optimization, 49, 1857-1879 (2011) [avec Karine Mauffrey et Farid Ammar-Khodja].

  21. Optimal distribution of the internal null control for the 1D heat equation. J. Differential Equations, 250, 95-111 (2011) [avec Francisco Periago].


  22. Long time behavior of a two-phase optimal design for the heat equation. SIAM Control and Optimization, 48(8), 5333-5356 (2010) [avec Grégoire Allaire (CMAP, X) et Francisco Periago].

  23. Numerical approximation of null controls for the heat equation : ill-posedness and remedies. Inverse Problems, 26(8) 085018 (2010) [avec Enrique Zuazua (BCAM, Bilbao)].

  24. Null boundary controllability of a circular elastic arch. IMA Journal of Mathematical Control and Information, 27(2), 119-144 (2010).

  25. Exact controllability of a string submitted to a boundary unilateral constraint, Annales de l'Institut Henri Poincaré (C), 27(4), 1097-1119 (2010) [avec Farid Ammar-Khodja (Univ. Besancon) et Sorin Micu (Univ. Craiova)].

  26. Relaxation of an optimal design problem in fracture mechanic : the anti-plane case, Esaim:COCV, 16(3), 719-743 (2010) [avec Pablo Pedregal].


  27. Optimal internal stabilization of the linear system of elasticity, Archive for Rational Mechanics and Analysis, 193(1), 171-193 (2009) [avec Pablo Pedregal et Francisco Periago].

  28. Uniformly controllable schemes for the wave equation on the unit square, Journal Optimization Theory and Application, 143(3), 417-438 (2009) [avec Mark Asch (Université d'Amiens)].

  29. Optimal location of the support of the control for the 1-D wave equation : numerical investigations, Computational Optimization and Applications, 42, 443-470 (2009).

  30. Controllability of a piezoelectric body. Theory and numerical simulation, Applied Mathematics and Optimization, 59(3), 383-412 (2009) [avec Bernadette Miara (ESIEE, Marne-La-Vallée)].

  31. Optimal internal stabilization of a damped wave equation by a topological approach, Int. J. Applied Mathematics and Computer Science, 19(1), 15-37 (2009).


  32. On the active control of crack growth in elastic media, Computer Methods in Applied Mechanics and Engineering 198, 407-419 (2008) [avec Patrick Hild (Univ. Besancon) et Yves Ousset (Onera, Paris)].

  33. Boundary stabilization on a nonlinear arch : Theoretical vs. Numerical Analysis, Discrete and Continuous Dynamical Systems, Series B. 10(1), 197-219 (2008) [avec Ademir Fernando Pazoto (Univ. Federal do Rio de Janeiro)].

  34. On the exact controllability of a system of mixed order with essential spectrum, C.R. Acad. Sci. Paris, Série I, 346 (11-12), 629-634 (2008) [avec Farid Ammar-Khodja (Univ. Besancon) et Giuseppe Geymonat (Univ. Montpellier)].

  35. On the control of crack growth in elastic media, C.R.Acad.Sci. Paris, Série IIb 336(5), 422-427 (2008) [avec Yves Ousset et Patrick Hild (Univ. Besancon)].

  36. Relaxation of an optimal design problem for the heat equation, Journal de Mathématiques Pures et Appliquées,89(3), 225-247 (2008) [avec Pablo Pedregal et Francisco Periago].

  37. Optimal design under the one-dimensional wave equation, Interface and Free Boundaries, 10(1), 87-117 (2008) [with Faustino Maestre et Pablo Pedregal].

  38. Numerical approximation of the boundary control for the wave equation with mixed finite elements in a square, IMA Journal of Numerical Analysis, 28(1), 186-214 (2008) [avec Carlos Castro (Madrid) et Sorin Micu (Craiova)].

  39. Optimal design of the support of the control for the 2-D wave equation : numerical investigations, International Journal of Numerical Analysis and Modeling, 5(2), 331-351 (2008).


  40. A spatio-temporal design problem for a damped wave equation, SIAM Journal on Applied Mathematics, 68(1), 109-132 (2007) [avec Pablo Pedregal et Faustino Maestre (Univ. Ciudad Real)].

  41. Uniform stabilization of a viscous numerical approximation for a locally damped wave equation, Esaim: Control, Optimisation and Calculus of Variations,13(2), 265-293 (2007) [avec Ademir Fernando Pazoto (Univ. of Rio)].


  42. Optimal design of the damping set for the stabilization of the wave equation, Journal of Differential Equation, 231(1), 331-358 (2006) [avec Pablo Pedregal et Francisco Periago].

  43. A shape optimal design problem related to the exact controllability of the 2-D wave equation. C.R.Acad. Sci. Paris Série I, 343(3), 213-218 (2006).

  44. A variational approach to a shape design problem for the wave equation, C.R.Acad. Sci. Paris Série I, 343(5), 371-376 (2006) [avec Pablo Pedregal (Univ. Ciudad Real) et Francisco Periago (Univ. Cartagena)].


  45. A uniformly controllable and implicit scheme for the 1-D wave equation, Mathematical Modelling and numerical analysis, 39(2), 377-418 (2005).


  46. Asymptotic consideration shedding light on incompressible shell models, J. of Elasticity, 76(3) , 199-246 (2004) [avec Dominique Chapelle (INRIA Rocquencourt) et Cristinel Mardaré (Univ. Paris 6)].

  47. Family of implicit and controllable schemes for the 1-D wave equation, C.R.Acad. Sci. Paris Série I, 339(10), 733-738 (2004).

  48. Mathematical analysis of nonlinear bonded joints models, Math. Models Meth. Appli. Sci., 14(4), 535-556 (2004) [avec Francoise Krasucki et Yves Ousset].


  49. Numerical simulation of debonding of adhesively bonded joints, Int. J. of Solids and Structures,39(26), 6355-6383 (2002) [avec Francoise Krasucki et Yves Ousset].

  50. Numerical simulation of delamination growth in curved interfaces, Computer Methods in Applied Mechanics and Engineering,191(19-20), 2073-2095 (2002)[avec Yves Ousset].


  51. Asymptotic analysis of a bonded joint in nonlinear elasticity, C.R.Acad. Sci. Paris Série IIb, 329, 429-434 (2001) [avec Francoise Krasucki (Montpellier II) et Yves Ousset].


  52. Energy release rate for a thin curvilinear beam, C.R.Acad. Sci. Paris Série IIb, 328, 471-476 (2000) [avec Yves Ousset (Onera-Chatillon)].



Thèse et Habilitation


- Three dimensional crack growth in layered composites media: curved interfaces and bonded joints, Thèse de doctorat , Paris VI (2002).

- Analyse numérique de quelques problèmes de contrôle et d'optimisation de forme pour des systèmes dynamiques, Habilitation à diriger des recherches - Université de Franche-Comté (2008) ( Présentation ).



Documents non publiés


- Numerical null controllability of the 1D heat equation: primal and dual algorithms, avec Enrique Fernández-Cara. En révision.

- Numerical null controllability of the 1D heat equation: dual algorithms, avec Enrique Fernández-Cara. 2009.

- Numerical null controllability of the 1D heat equation: primal algorithms, avec Enrique Fernández-Cara (Univ. de Seville). 2009.



Liens


Laboratoire de Mathématiques de Besancon