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).

- Editeur au journal de la société espagnole de mathématiques appliquées (SEMA-Springer) (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).



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.

- 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


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

- Inverse problems for linear parabolic equations using mixed formulations - Part 1 : Theoretical analysis, avec Diego Araujo de Souza. Soumis

- Reconstruction of the solution and the source of hyperbolic equations from boundary measurements: mixed formulations, avec Nicolae Cîndea. Soumis.

- On the numerical controllability of the two-dimensional heat, Stokes and Navier-Stokes equations , avec E. Fernandez-Cara et Diego Araujo de Souza (Sevilla). Soumis.



Publications


  1. Robust optimal Robin boundary control for the transient heat equation with random input data, avec J. Martinez-Frutos, M. Kessler et F. Periago. To appear in International Journal for Numerical Methods in Engineering. (DOI: 10.1002/nme.5210)

  2. 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).

  3. 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].


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

  5. 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)].

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


  7. 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)].

  8. 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].

  9. 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].


  10. 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].

  11. 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].

  12. 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].

  13. 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).

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


  15. 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].


  16. 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)].

  17. 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].

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


  19. 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].

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

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

  22. 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)].

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


  24. 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].

  25. 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)].

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

  27. 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)].

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


  29. 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)].

  30. 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)].

  31. 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)].

  32. 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)].

  33. 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].

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

  35. 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)].

  36. 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).


  37. 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)].

  38. 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)].


  39. 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].

  40. 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).

  41. 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)].


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


  43. 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)].

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

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


  46. 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].

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


  48. 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].


  49. 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