Majdi Azaiez


PERSONAL DATA
17/04/1961 at Tunis Tunisia
Pacsé. Two daughters

Professeur Classe Ex 1
Institut Polytechnique de Bordeaux
Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) – UMR 5295
 

Education

  • 1997 : Habilitation à diriger les recherches. Université Paul Sabatier Toulouse
  • 1990 : Ph. D. in Applied Mathematics, Orsay, University Paris XI
  • ​1987 : Masters degree in Applied Mathematics
  • 1982 : Bachelor of Science, Lycée MontFleury Tunis, Tunisia

Professional Appointments

  • Since 2002 : Full Professor of Mechanical Engineering, Institut Polytechnqiue de Bordeaux
  • 1992-2002 : Assistant Professor of Mechanical Engineering at Paul Sabatier University (Toulouse).
  • 1991-1992 : Postdoc at CRS4 Sardegna (Pr. A. Quarteroni), Italy
  • 1989-1991 : Associated professor of Mechanical Engineering at Paris XI University Orsay

Selected Visiting Professorship

  • Adjunct Professor at IIT Kanpur (2018)
  • Invited professor position at Xiamen University China: Applied Mathematics Dept. (2 months per year)
  • Associated researcher at University of Sevilla Span
  • Invited professor at Research Department of Abengo Spain (1 year)
  • Invited professor at École Polytechnique Fédérale de Lausanne (Switzerland) (1 year)
  • Several invitations for shorts visits at Institute of Mathematics of Sevilla, Spain
  • Several invitations at Université Libre de Bruxelles, Belguim
  • Several invitations at Ecole Polytechnic Fédérale de Lausanne (EPFL) Switzerland (1 year)
  • Invited professor of Applied Mathematics Department, Penn. State Univ. USA (1 Month)
  • Several invitations at Aplied Mathematics Department LAMSIN. Tunisia
  • Invited professor at Applied Mathematics Department at Polytecnico di Turino, Italy

Managing Activities

  • Head of the TREFLE research department (49 researchers, 62 PhD. Students and 24 administrative staff)
  • Member of the National University Council. It consists of 48 members responsible of promotions and careers of researchers in France
  • Member of Scientific Council of the polytechnic institute of Bordeaux
  • Member of Administratif Council of the polytechnic institute of Bordeaux
  • Member of the Scientific Ccommittee, I2M Laboratory
  • Principal Investigator of 10 French and 5 International Research Projects
  • Chairman and Co-chairman of 5 International Congresses

Research Interests

  • Partial Fractional differential Equations : 3 papers
  • Reduced Order Methods : 6 papers
  • High Order Methods for Incompressible flow : 13 papers
  • High Order Methods for Darcy flow and porious media : 9 papers
  • Phase change materia (PCM) : 4 papers
  • Inverse problems : 6 papers
  • Heat and mass transfert nurmerical simulations : 5 papers
  • Hodge-Helmholts decompostion : 3 papers
  • Spectrum computational of opertaor under constraints : 8 papers

Publications

  • 93 Publications in Journals and Proceedings with review committee.
  • 2 Educational books
  • 4 Research books

Scientific Direction

  • Supervisor of 22 PhD. Thesis (4 in progress).
  • 7 Post-Doc
  • 9 Master Recherches projects
  • Encadrement de stages ‘’découvertes’’ de collégiens

Editing

  • Executif Board Member of IMACS
  • Editorial Board member in Computers & Fluids journal.
  • Coordinator of Fluid Mecanics Edition of SCIENCE-ISTE
  • Editorial Board Member in ISRN Mathematical Analysis
  • Guest editor in Lecture notes in Computational Science and Engineering (V. 95, Issue 1, 2013) 425 pages.
  • Guest editor in Journal of Mathematical Study (To appear in 2017)
  • Guest editor in Computer and Fluids (Vol 43, Issue 1, Avril 2011) 153 pages
  • Guest editor in Applied Numerical Mathematics. (Vol 58, Issue 7, Juillet 2008) 127 pages
  • Guest editor in Editions de la Société Française de Thermique  »Thermique en conditions extrêmes. (157 pages) 2011

Expertise (academic)

  • Expert member of the Research Foundation Committee for Aeronautics and Space (F.N.R.A.E)
  • Expert member of the French National Research Agency (ANR)
  • Member and president of commissions to hire full professors and assistant professors
  • Expert for the Agencia Estatal de Investigación Espagne

Expertise (industrial)

  • Scientific Expert and advisor in the CT-Ingeniering company
  • Septembre 2012-2016 : deputy director of a commun laboratory between I2M and Abengoa Solar.
  • Septembre 2012 – Août 2013 : Researcher at de Abengoa research department (span)

Coordinator the research projects (last 5 years)

  • 2017-2021 : ANR-PRCI. « Phasefield: Phase-field models, algorithms and simulations for multiphase complex fluids » Budget: 233 KEuros . Partner: Xiamen University.
  • 2017 : LabRam : Modeling and simulation. Industrial partner : Roxel France, Budget 50 K€
  • 2014-2016: Projet PHC-Campus France. Titre : Phase-field models, algorithms and simulations for multiphase complex fluids. Budget: 8 KEuros by year. Partner: Xiamen University.
  • 2012-2016 : Virtuels material for thermal energy storage. Budget: 150 KEuros by year. Industrial partner : ABENGOA-SOLAR and ABENGOA-RESEARCH.
  • 2013-2014 Multiconstituant media: Modelling and numerical simulations. Budget: 60 Keuros. Industrial partner : Total petroleum Industrial Company.

People invited to work / exchange science with me

  • Italie : Claudio Canuto, Alessandro Venzianni ( 1 month for each)
  • Tunisie : H. El Fekih, Amel Ben Abda, Nabil Gmati, Jalel Ben Abdallah, A. Saada (1 month for each)
  • Suisse : Michel Deville et Ralf Gruber (1 year and 1 month)
  • Belgique : Ernest Mund, Vincent Legal ( 1 month for each)
  • Maroc : Abdlekahlek Cheddadi ( 1 month )
  • Espagne : Tomas Chacon (7 months)
  • Chine : ChuanJu Xu (a total of 17 month)
  • USA : Jie Shen (Perdue University, 1 month), A. Patera (MIT, 1 yeak)
  • Inde : Tapan Sengupta (8 month)

Mobility across thematic areas

  • Partial Fractional differential Equations : 3 papers
  • Reduced Order Methods : 6 papers
  • High Order Methods for Incompressible flow : 13 papers
  • High Order Methods for Darcy flow and porious media : 9 papers
  • Phase change materia (PCM) : 4 papers
  • Inverse problems : 6 papers
  • Heat and mass transfert nurmerical simulations : 5 papers
  • Hodge-Helmholtz decompostion : 3 papers
  • Spectrum computational of opertaor under constraints : 8 papers

Geographic mobility

  • Tunisia : Bachelor
  • France-Parix XI : Masters degree and PhD in applied mathematics. Orsay University
  • Italy : First position as reseacher in the A. Quereroni’s group.
  • France-Toulouse : Assistance Professor
  • France-Bordeaux : Professor
  • Swizerland : 1 year of Invited professor at EPFL
  • Span : A year of Invited Professor at Abengoa-Research department and now asociated researcher at the Mathematical instiut of Sevilla
  • China : Invited professor at Xiamen University (2 months by year)

Teaching activities

In France :

  • Institut Polytechnique de Bordeaux : Average of 220 H by year
  • Université Paul Sabatier Toulouse : 12 h by year (Half course for Master Research students)

In other countries :

  • University of Seville Span : 12 h course for Master Research students
  • East China University of Science and Technology (24h 2016 and 24h 2017)
  • Xiamen University Master Research 24
  • Ecole Nationale d’Ingénieurs de Tunis 24h by year and since 2005

Administrative duties

  • Head of a research department TREFLE. (46 permanents researchers, 6 ingineers and 5 secretaries)
  • Member of the scientific council of Institut Polytechnique de Bordeaux
  • Member of the Administrative council of Institut Polytechnique de Bordeaux
  • In charge of continum mechanical teachind module in ENSCBP/IPB
  • Member of Conseil National Universitaire (CNU Section 60)
  • Member of the Association Universitaire de Mécanique (AUM)
  • Membre du comité de direction de l’I2M
  • Membre du conseil de l’institut I2M
  • Expert member for Initiative d’exelence : programme PEPS IDEX/CNRS
  • Expert member for Initiative d’exelence : Post-Doc International de l’IDEX
  • Membre du comité de pilotage de l’axe calcul scientifique Labex CPU de l’IDEX de Bordeaux.
  • Coordinator of the WP : Numerical Methods appleid to physics and medecine.

PERSONAL BIBLIOGRAPHY

Books

  1. Book : M. Azaïez, M. O. Deville et E. Mund – Méthodes d’ ́éléments finis pour les fluides incompressible. Livre publié dans les presses polytechniques et universitaires romandes. (338 pages)
  2. Book : M. Azaïez, M. Dauge et Y. Maday – Méthodes des éléments spectraux. Collection Didactique. D012, I.N.R.I.A. (87 pages).
  3. M. Azaïez, H. El Fakih and Jan S. Hesthaven – Spectral and High Order Methods for PDE. Lecture Notes in Computational Science and Engineering (450 pages)
  4. M. Azaïez, J. C. Batsale – Thermique en conditions extrêmes. (157 pages) 2011
  5. M. Azaïez, E. H. Mund, Spectral Methods in Computational Fluid Dynamics, Applied Numerical Mathematics. (123 Pages)
  6. M. Azaïez, E. Leriche and N. Fietier – High Accuracy Flow Simulation, Computer & Fluid. (157 Pages)

Published papers (63)

  1. M. Azaiez, F. Ben Belgacem, J. Casado-D, T. Chacon and F. Murat — An intrinsic Proper Generalized Decomposition for parametric symmetric elliptic problems. SIAM Journal on Mathematical Analysis (SIMA).   (Accepted in 2018)

  2. Multiple Hopf bifurcations and flow dynamics inside a 2D singular lid driven cavity,  Lucas Lestandi, Swagata Bhaumik, G. R. K. C. Avatar*, Mejdi Azaiez and Tapan K. Sengupta*,   (Accepted in 2018)

  3. Ch Lv, M. Azaïez and Ch. Xu., Spectral deferred correction methods for fractional differential equations. Numerical Mathematics: Theory, Methods and Applications, (Accepted in 2017)

  4. L. Lustandi, M. Azaïez and T. Sengupta. POD applied to numerical study of unsteady flow inside lid-driven cavity »  for publication in the special issue of the Journal of mathematical study (Accepted in 2017)

  5. S. Lin, M. Azaïez and Ch. Xu., A Fractional Stokes equation and its spectral approximation. International Journal of Numerical Analysis and Modeling Volume 15, Number 1-2, Pages 170–192 (Accepted in 2017)

  6. S. Lin, M. Azaïez and Ch. Xu., Using PGD to solve nonseparable fractional derivative elliptic problems. Lecture Notes in Computational Science and Engineering. Pp 203-213 (2017)

  7. M. Azaïez , F. Ben Belgacem , T. Chacón Rebollo, M. Gómez Mármol  and I. Sánchez Muñoz, Error bounds in high-order Sobolev norms for POD expansions of parameterized transient temperatures. Comptes Rendus Mathématique, Vol. 355, No. 4, pp. 432-438, 2017.

  8. M. Azaïez, F. Ben Belgacem and T. Chacón Rebollo., Error Bounds for POD expansions of parameterized transient temperatures Comput. Methods Appl. Mech. Engrg. 305. pp 501–515 (2016)

  9. M. Azaïez, F. Ben Belgacem, T. Chacón Rebollo, M. Gómez Mármol, I. Sánchez Muñoz. Error bounds in high-order Sobolev norms for POD expansions of parameterized transient temperatures. To appear in C. R. Acad. Sci. Paris, Ser. I (2017)

  10. M. Azaïez, F. Jelassi, M. Mint Brahim and J. Shen., « Two Phases Stefan Problem with Smoothed Enthalpy ». Communication in Mathematical Sciences, Vol. 14, No. 166, (2016)

  11. M. Azaïez, F. Ben Belgacem and T. Chacón Rebollo., Recursive POD expansion for reaction-diffusion equation. Adv. Model. and Simul. in Eng. Sci. (2016) 3:3

  12. M. Azaïez, F. Ben Belgacem, Karhunen-Loève’s truncation error for bivariate functions Comp. Methods in Applied Mech. and Engineering, V. 290, 15 , Pages 57-72 June (2015)

  13. E. Ahusborde, M. Azaïez, F. Ben Belgacem, E. Palomo Del Barrio, Mercer’s spectral decomposition for the characterization of thermal parameters Journal of Computational Physics, V. 294, Pages 1-19, (2015)

  14. Azaïez M., Ben Belgacem F., Le Bot C., Hecht F., An ill-posed parabolic evolution system for dispersive deoxygenation-reaeration in water, Inverse Pb Journal, 30, 015002. (2014)

  15. Lemoine A., Caltagirone J.P., Azaiez M., Vincent S., Discrete Helmholtz-Hodge Decomposition on Polyhedral Meshes Using Compatible Discrete Operators. Journal Of Sientific Comp. Pp 1-20 Vol (2014)

  16. Ahusborde E., Azaïez M., Caltagirone J.P., Gerritsma M., Lemoine A., Discrete Hodge Helmoltz Decomposition , Monografias Matematicas « Garcia de Galdeano », 39, 1-10, 2014.

  17. Ahusborde E. ,Azaïez M., Glockner S., Poux A., A contribution to the outflow Boundary Conditions for Navier-Stokes Time-Splitting Methods, Lecture Notes In Comp. Science and Engineering. 95, pp 75-86 (2013)

  18. F. Jelassi, Azaïez M., E. Palomo Del Barrio, A substructuring method for phase change modelling in hybrid media Computers & Fluids 88 81–92, (2013)

  19. Ahusborde E., Azaïez M., Ben Belgacem F., Bernardi C., Automatic simplification of Darcy’s equation with pressure dependent permeability , Mathematical Modelling and Numerical Analysis, Vol 47, 1797-1820, (2013)

  20. Ahusborde E., Azaïez M., Glockner S., Poux A., A Contribution to the Outflow Boundary Conditions for Navier-Stokes Time-Splitting Methods, Lecture Notes in Computational Science and Engineering, (2013).

  21. A. Poux, S. Glockner, E. Ahusborde,Azaïez M., Open boundary conditions for the velocity-correction scheme of the Navier-Stokes equations Computers & Fluids, Volume 70, 30 November, Pages 29-43 (2012)

  22. Godin A., Palomo del Barrio E., Dauvergne J. L., A nex microscope based on infrared thermography for composite materials microstructure retrieval. Inter. Review of Mechanical Enineering, Vol 6, N 2, (2012)

  23. Poux, A., Glockner, S., Azaïez M., Improvements on open and traction boundary conditions for Navier-Stokes time-splitting methods. J. Comput. Physics 230(10): 4011-4027 (2011)

  24. M. Azaïez, F. Ben Belgacemb, D. Thang Duc, Faten Jelassi. A finite element model for the data completion problem: analysis and assessmentInverse Problems in Science and Engineering Volume 19, Issue 8, pages 1063-1086 (2011)

  25. Gruber, R., Ahusborde, E., M. Azaïez, Keller, V., Latt, J., High performance computing for partial differential equations Computers & Fluids, 43 (1), p.68-73, (2011)

  26. M. Azaïez, Ben Belgacem, F., Jelassi,F., The density function reconstruction of surface sources from a single Cauchy measurement Computers & Fluids, 43 (1), p.14-22, (2011)

  27. E. Ahusborde, M. Azaïez, R. Gruber — Constraint Oriented Spectral Element Method. Lecture Notes in Computational Science and Engineering, Volume 76, 93-100, (2011)

  28. M. Azaïez, F. Ben Belgacem, C. Bernardi and N. Chorfi — Spectral discretization of Darcy equations with pressure dependent porosity. Applied Mathematics and Computation 217 1838-1856 (2010)

  29. K. Appert, M. Azaïez, R. Grube — Modes of a plasma-filled waveguide determined by a numerical $hp$ method. Commun. Comput. Phys., 5 , pp. 413-425. (2009)

  30. E. Ahusborde, M. Azaïez, M.O. Deville, E.H. Mund — An iterative domain decomposition algorithm for the grad(div) operator. Communications in Computationnal Physics, Vol. 5, No. 2-4, (391-397), (2009).

  31. M. Azaïez, E. H. Mund Preface — Spectral Methods in Computational Fluid Dynamics. Appl. Numer. Math. 58, no. 7, 933-934, (2008).

  32. M. Azaïez, J. Shen, C. Xu and Q. Zhuang — A Laguerre-Legendre spectral method for the Stokes problem in a semi-infinite channel. SIAM J. Numer. Anal., 47:271-292, (2008).

  33. M. Azaïez, R. Gruber, M.O. Deville and E. H. Mund — A new hp Method for the -grad(div) Operator in non-Cartesian Geometries. Appl. Numer. Math. 58, no. 7, 985-998 (2008).

  34. E. Ahusborde, M. Azaïez, R. Gruber, M.O. Deville and E. H. Mund — Constructive Spectral Approaches for the Helmholtz Decomposition of a Vector Field. Applied Numerical Mathematics, Volume 58, (955-967), (2008).

  35. M. Azaïez, F. Ben Belgacem, C. Bernardi, and M. El Rhabi — The mortar spectral element method in domains of operators. Part II: the curl operator and the vector potential problem. IMA J Numer Anal, 28: 106 – 120, January (2008)

  36. E. Ahusborde, R. Gruber, M. Azaïez, M.L. Sawley, Physics-conforming constraints-oriented numerical method, Physical Review E, Vol. 75, Issue 5, Article number 056704, (2007).

  37. K. Amoura, M. Azaïez, C. Bernardi and N. Chorfi, — Spectral element discretization of the vorticity, velocity and pressure formulation of the Navier-Stokes problem. Calcolo 44, no. 3, 165–188, (2007)

  38. E. Ahusborde, M. Azaïez, J.P. Caltagirone, A primal formulation for the Helmholtz decomposition , Journal of Computational Physics, Vol. 225, Issue 1, (13-19), (2007).

  39. R. Ben Fatma, M. Azaïez, A. Ben Abda et N. Gmati — Missing boundary data recovering for the Helmholtz problem. Comptes Rendus Mécanique, Vol. 335, Issue 12, p 787-792, December (2007).

  40. M. Azaïez, F. Ben Belgacem, X. Escriva, M. Fournié and M. Karimi-Fard– Numerical Assessment of a Class of Uniformly Stable Mixed Spectral Elements for the Navier-Stokes Equations. Computers and Fluids. Vol. 36, Issue 6, p. 1137-1148, (2007).

  41. M. Azaïez, C. Bernardi and N. Chorfi — Spectral discretization of the vorticity, velocity and pressure formulation of the Navier-Stokes equations. Numerische Mathematik, 104 (1), pp1-26, (2006).

  42. M. Azaïez, F. Ben Belgacem and H. El Fekih — On Cauchy’s problem II : completion, regularization and approximation. Inverse Problems, 22(4), pp. 1307-1336, (2006).

  43. M. Azaïez , R. Gruber, M. O. Deville and E. H. Mund — On a Stable Spectral Method for the grad(div) Eigenvalue Problem. Journal of Scientific Computing 27 (1-3), pp 40-51, (2006)

  44. M. Azaïez, F. Ben Belgacem et C. Bernardi — The mortar spectral element in domains. of operators. Part I : The divergnce operator and Darcy’s equations. IMA J Numer Anal. 26: 131-154. (2006)

  45. M. Azaïez, F. Ben Belgacem et C. Bernardi — The mortar spectral element in domains of operators. Part I : The divergence operator and Darcy’s equations. IMA J Numer Anal. 26: 131-154. (2006)

  46. M. Azaïez, A. Ben abda et J. Ben abdalla — Revisiting the Dirichlet-to-Neumann solver for data completion and application to some inverse problems . Int. Journal of Applied Mathematic and Mechanic. 1, pp 106-121, (2005).

  47. E. Piquer, M. C. Mojtabi, M. Azaïez, et A. Mojtabi — Convection mixte en fluide binaire avec effet Soret. C. R. Acad. Sci. série IIb. Volume 333, Issue 2, Pages 179-186, (2005).

  48. M. Azaïez, Alain Bergeon and Franck Plouraboué — Un nouveau préconditionneur pour les problèmes elliptiques à coefficients variables. C. R. Acad. Sci. série IIb. Volume 331, Issue 7, Pages 509-514, (2003)

  49. M. Azaïez — A spectral element projection scheme for incompressible flow with application to the unsteady axisymmetric Stokes problem. Journal of Scientific Computing, Vol. 17, Nos. 1-4, p 573-584, (2002)

  50. M. Azaïez F. Ben Belgacem, C. Bernardi, Mortar spectral element discretization of Darcy’s equations, in Domain Decomposition Methods in Science and Engineering, CIMNE, 191–197. (2002)

  51. F. Plouraboué, A. Bergeon et M. Azaïez – Generalized pressure/stream-function coordinates for transport and two-phase flows in heterogeneous anisotropic porous media. Transport in porous media. 44 , p. 281-304. (2001)

  52. M. Azaïez, F. Ben Belgacem et H. Khallouf — Méthodes d’éléments spectraux pour des problèmes hybrides duaux de second ordre axisymétriques. Application à la simulation numérique des équations de Navier-Stokes par l’algorithme de Goda. Revue Européenne des éléments Finis 8, p. 821-846. (1999)

  53. M. Azaïez, F. Ben Belgacem, H. El Fekih and I. Mourad – numerical simulation of the wave equation with discontinuous coefficients by the mortar F. E. M. Numerical Methods for Partial Differential Equations 15 , p. 637-656. (1999)

  54. M. Marcoux, M.-C. Charrier-Mojtabi et M. Azaïez — Double diffusion convection in annular vertical porous layer. Int. J. Heat Mass Transfer. No. 42, p. 2313-2325, (1999).

  55. M. Azaïez, F. Ben Belgacem, M. Grundmann and H. Khallouf – Staggered grids hybrid-dual Spectral element method for second order elliptic problems. Application to high-order time splitting for Navier-Stokes equations. Compu. Meth. Appl. Mech. and Engrg. Vol. 166 Nos. 3-4, pp. 183-199, (1998).

  56. M.-C. Charrier-Mojtabi, M. Karimi-Fard, M. Azaïez et A. Mojtabi — Onset of double-diffusion regime in a rectangular porous cavity. Journal of Porous Media, Vol 1, p. 104-118, (1998)

  57. M. Azaïez, C. Bernardi et Y. Maday — Some tools for adaptivity in the spectral method. Houston Journal of Mathematics, p.~243-253, (1996).

  58. M. Azaïez, C. Bernardi et M. Grundmann — Spectral methods applied to porous media equations. East-West J. Numer. Anal., 2, No 2, p. 91-105, (1995).

  59. M. Azaïez, F. Ben Belgacem et M. Grundmann — Résolution du problème de Poisson approché par éléments spectraux. C. R. Acad. Sci. Paris, série I, 320, p. 625-631, (1995).

  60. M. Azaïez, F. Ben Belgacem et M. Grundmann — Approximation spectrale optimale et inversion directe de l’opérateur alpha I + Rot Rot. C. R. Acad. Sci. Paris, série I, 320, p.~737-742, (1995).

  61. M. Azaïez et A. Quarteroni — A spectral Stokes solver in domain decomposition methods. Contemporary Mathematics, 180, p. 151-156, (1994).

  62. M. Azaïez, M. A. Fikri et G. Labrosse — A unique grid spectral solver of nD cartesian unsteady Stokes system. Illustrative numerical results. Finite Elements in Analysis and Design, 16, p. 247-260, (1994).

  63. M. Azaïez, S. Boudoux-Dagonat, M. A Fikri and G. Labrosse — The computational fluid dynamics by spectral methods : some illustrative results. Computers & Chemical Engineering, 17, p. 523-529, (1993).

  64. M. Azaïez et G. Coppoletta — Calcul de la pression dans le problème de Stokes par une méthode spectrale de « quasi-collocation » à grille unique sans modes parasites. Les Annales Maghrebines, 6, No. 1, p. 41-61, (1992).

  65. M. C. Mojtabi, A. Mojtabi, M. Azaïez et G. Labrosse — Numerical and experimental study of multicellular free convection flows in an annular porous layer. Int. J. Heat Mass Transfer. No. 12, p. 3061-3074, (1991).

  66. M. Azaïez, G. Labrosse et H. Vandeven — A pressure field pseudo-spectral evaluation for 3-D numerical experimemts in incompressible fluid dynamics. Lecture Notes in Physics, 323, Springer Verlag. (1989).