Eric Blayo

Professeur en Mathématiques Appliquées
Professor in Applied Mathematics

Laboratoire Jean Kuntzmann
Université Joseph Fourier, Grenoble

Address:Laboratoire Jean Kuntzmann
51 rue des Mathématiques, BP 53
38041 Grenoble cedex 9
France
Bureau :    68 (6ème étage)
Phone:     +33 (0)4 76 63 59 63
Fax: +33 (0)4 76 63 12 63
E-mail: Eric (.) Blayo (at) imag (.) fr


Recherche / Research


Responsable scientifique de l'équipe-projet MOISE de l'INRIA Grenoble Rhône-Alpes
Scientific leader of the MOISE research team at INRIA Grenoble Rhône-Alpes

Thèmes de recherche

Research topics

puce Modélisation numérique de l'océan: conditions de frontière ouverte, méthodes multi-échelles, couplage de modèles
Numerical ocean modelling: open boundary conditions, downscaling and coupling methods

puce Assimilation de données: méthodes variationnelles en contexte non-linéaire
Data assimilation : variational methods for nonlinear systems

puce Analyse de sensibilité: approche variationnelle vs approche stochastique
Sensitivity analysis: variational approach vs stochastic approach


Projets de recherche

Research projects

puce ANR COMMA (PI: Georges-Henri Cottet )

puce ANR VODA (PI: Arthur Vidard)

puce ANR ADAGe (PI: Olivier Gagliardini)

puce ANR COSTA-BRAVA (PI: Fabrice Gamboa)


Publications récentes

Recent publications

Blayo E. and L. Debreu, 2005: Revisiting open boundary conditions from the point of view of characteristic variables. Ocean Modelling, 9, 231-252.

Robert C., S. Durbiano, E. Blayo, J. Verron, J. Blum, F.-X. Le Dimet and C. Robert,  2005: A reduced order strategy for 4D-Var data assimilation. J. Mar. Syst., 57, 70-82.

Robert C., E. Blayo, J. Verron, 2006 : Comparison of reduced-order sequential, variational and hybrid data assimilation methods in the context of a Tropical Pacific ocean model. Ocean Dynamics, 56, 624-633.

Robert C., E. Blayo, and J. Verron, 2006 : Reduced-order 4D-Var: a preconditioner for the full 4D-Var data assimilation method.  Geophys. Res. Lett., 33, L18609, doi:10.1029/2006GL026555

Blayo E. and L. Debreu, 2006 : Nesting ocean models. In An Integrated View of Oceanography:  Ocean Weather Forecasting in the 21st Century, ed. by E. Chassignet and J. Verron, Kluwer.

Blayo E.,  L. Halpern and C. Japhet, 2007: Optimized Schwarz waveform relaxation algorithms with nonconforming time discretization  for coupling convection-diffusion problems with discontinuous coefficients.  In Domain Decomposition Methods in Science and Engineering XVI, Lecture Notes in Computational Science and Engineering, Vol. 55, p267-274 ed. by O. Widlund and D. Keyes, Springer.

Debreu L., C. Vouland and E. Blayo, 2008: AGRIF: Adaptive Grid Refinement in Fortran.  Computers and Geosciences, 34, 8-13. doi:10.1016/j.cageo.2007.01.009

Cailleau S., V. Fedorenko, B. Barnier, E. Blayo and L. Debreu 2008 : Comparison of different numerical methods used to handle the open boundary of a regional ocean circulation model of the Bay of Biscay.  Ocean Modelling, 25, 1-16, 2008.

Debreu L. and E. Blayo, 2008 : Two-way embedding algorithms: a review.  Ocean Dynamics},  58, 415-428. DOI: 10.1007/s10236-008-0150-9

Lemieux B., F. Parrenin and E. Blayo, 2008 : A probabilistic method to construct a common and optimal chronology for an ice core. In Physics of Ice Core Records, Kaori Kidahashi Ed., Hokkaido University Collection of Scholarly and Academic Papers.

Nourtier E. and E. Blayo, 2010 : Towards absorbing boundary conditions for the 1-D biharmonic diffusion equation.  Applied Numerical Mathematics, 60, 83-93.

Lemieux-Dudon B., E. Blayo, J.-R. Petit, C. Waelbroeck, A. Svensson, C. Ritz, J.-M. Barnola, B. M. Narcisi and F. Parrenin,   2010: Consistent dating for Antarctica and Greenland ice cores.  Quaternary Science Reviews. 29, 8-20.

Simon E., L. Debreu and E. Blayo, 2010: 4D variational data assimilation for locally nested models: complementary theoretical aspects and application to a 2D shallow water model.   Int. J. Num. Meth. Fluids, to appear.

Krysta M., E. Blayo, E. Cosme  and J. Verron, 2010: A consistent hybrid variational-smoothing data assimilation method: Application to a simple shallow-water model of the turbulent mid-latitude ocean.   Monthly Weather Review, to appear.

Lemarié F., L. Debreu  and E. Blayo, 2011: Towards an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. Part 1 : the constant coefficients case.    Elec.Trans. Num. Anal. , to appear.

Lemarié F., L. Debreu  and E. Blayo, 2011: Towards an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. Part 2 : the variable coefficients case.    Elec.Trans. Num. Anal., to appear.

Martin V.   and E. Blayo, 2011: Building generalized open boundary conditions for fluid dynamics problems.    Int.J. Num. Meth. Fluids., submitted.

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Enseignement / Teaching


puce Licence 1ere année: MAT125

puce Master 1ere année : Méthode des éléments finis
(polycopié éléments finis) (polycopié différences finies)

puce Master 2ème année MIA Parcours Modélisation et Calcul Scientifique : Couplage et multi-échelles (slides multigrilles), Méthodes inverses (polycopié) (slides)
Site pédagogique du M2 Parcours MCS

puce DRI de mathématiques appliquées

puce Cours doctoral d'assimilation de données


Ressources

puce Le site Maths en L1gne de Bernard Ycart, une mine de documents pour les Maths en L1 (cours complet, vrai/faux, QCM, exercices, devoirs corrigés, compléments).

puce La bibliothèque d'exercices Exo7 (extraction d'exercices ou de fiches d'exos en tex ou pdf).

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Autres activités / Other activities

puce Programme de recherche en assimilation de données LEFE-ASSIM

puce Cluster Environnement de la région Rhône-Alpes

puce IXXI : Institut des Systèmes Complexes

puce Pôle Grenoblois des Risques Naturels

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