Charles PIERRE
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Ingénieur de recherche en mathématiques
Laboratoires de Mathématiques et de leurs Applications - PAU (France)        LMA
Université de Pau et des Pays de l'Adour        UPPA
Address:
Batiment IPRA
av de l'Université BP 1155
64013 PAU CEDEX - FRANCE

011-33 (0)5-59-40-75-27
charles.pierre[AT]univ-pau.fr



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Research topics
Porous media
Transfer by coupled convection and diffusion, volume averaging methods (Joined wrok with F. Plouraboué).
Finite volumes
Methods for heterogeneous, anisotropic diffusion problems (Joined wrok with Y. Coudière).
Presentation at FVCA5 - 2008 :   see slides
Presentation at FVCA4 - 2005 :   see slides
(Symposium on Finite Volumes for Complex Applications)
Mathematical electrocardiology
Modelling, analysis and simulation (Joined wrok with Y. Bourgault , Y. Coudière, O. Rousseau and R. Turpault).
Publications
Papers in international journals
  1. C. Pierre, J. Bouyssier, F. De Gournay and F. Plouraboué.   Numerical computation of 3D heat transfer in complex parallel convective exchangers using generalized Graetz modes
    JCP, Vol. 268, 2014, pp. 84-105.
    HAL       Journal Link

  2. J. Bouyssier, C. Pierre and F. Plouraboué.   Mathematical analysis of parallel convective exchangers with general lateral boundary conditions using generalised Graetz modes
    M3AS, Vol. 24(4), 2014, pp. 627-665.
    HAL       Journal Link

  3. J. Fehrenbach, F. De Gournay, C. Pierre and F. Plouraboué.   The Generalized Graetz problem in finite domains
    SIAM Applied Maths, 72(1), 2012, pp. 99-123.
    HAL       Journal Link

  4. C. Pierre.   Preconditioning the bidomain model with almost linear complexity
    Journal of Computational Physics, 231 (2012), pp. 82-97.
    HAL       Journal link

  5. B. Andreianov, M. Bendahmane, K. H. Karlsen, C. Pierre.   Convergence of discrete duality finite volume schemes for the cardiac bidomain model.
    Networks and Heterogeneous Media, Vol. 6(2), 2011.
    HAL       Journal link

  6. C. Pierre, Plouraboué   Numerical analysis of a new mixed-formulation for eigenvalue convection-diffusion problems.
    SIAM Applied Maths, Vol. 70(3), 2009.
    HAL       Journal link

  7. Y. Coudière, C. Pierre, O. Rousseau, R. Turpault.   A 2D/3D Discrete Duality Finite Volume Scheme. Application to ECG simulation.
    International Journal on Finite Volumes, Vol. 6(1), 2009.
    HAL       Journal Link

  8. Y. Bourgault, Y. Coudière and C. Pierre.  Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology.
    Nonlinear Analysis: Real World Applications. Vol 10(1), pp. 458-482, 2009.
    HAL.       Journal Link

  9. F. Plouraboué, C. Pierre.  Stationary convection-diffusion between two co-axial cylinders.
    Int. J. of Heat and Mass Transfer. Vol 50(23-24), pp. 4901-4907, 2007.
    HAL       Journal Link

  10. Y. Coudière, C. Pierre.   Stability and convergence of a finite volume method for two systems of reaction-diffusion equations in electro-cardiology.
    Nonlinear Analysis: Real World Applications. Vol. 7(4), pp. 916-935, 2006.
    PDF       Journal Link

  11. C. Pierre, F. Plouraboué and M. Quintard.   Convergence of the Generalized Volume Averaging Method on a Convection-Diffusion Problem: A Spectral Perspective.
    SIAM J. Appl. Math. Vol. 66(1): pp. 122-152, 2005.
    HAL       Journal Link
Preprints
  1. C. Pierre   Approximation of the Ventcel problem, first numerical results
    HAL

  2. C. Pierre and F. Plouraboué   Generalised Graetz problem: analytical solutions for concentric or parallel configurations
    HAL

  3. J. Cresson, I. Greff and C. Pierre.   Coherent discrete embeddings for Lagrangian and Hamiltonian systems
    HAL

  4. C. Pierre, Y. Bourgault.   A comparison of the Bidomain and the adapted monodomain models in electro-cardiology
    HAL

Thesis
  1. C. Pierre,   Modelling and Simulating the electrical Activity of the Heart embedded in the Torso, Numerical Analysis and Finite Volumes Methods.
    PhD Thesis, Université de Nantes (2005).
    PDF
Papers in international conference proceedings
  1. M Pop, M Sermesant, T Mansi, E Crystal, S Ghate, J Relan, C Pierre, Y Coudière, J Barry, I Lashevsky, B Qiang, ER McVeigh, N Ayache, GA Wright.   EP challenge - STACOM'11: forward approaches to computational electrophysiology using MRI-based models and in-vivo CARTO mapping in swine hearts
    MICCAI conference, STACOM'11 workshop, Toronto, Sept 2011, in Lecture Notes in Computer Science (Springer) Vol 7085, pages 1-12 (to appear).
    PDF

  2. Y. Coudière, C. Pierre..   Benchmark 3D: CeVe-DDFV, a discrete duality scheme with cell/vertex unknowns.
    Int. symposium on Finite Volumes for Complex Applications VI. Praha, 2011.
    HAL

  3. Y. Coudière, C. Pierre, R. Turpault.  A 2D/3D Finite Volume Method used to solve the bidomain equations of electrocardiology.
    ALGORITHMY 2009. 18th Conference on Scientific Computing: pp. 1-10. Slovakia. March 15 ~ 20, 2009.
    HAL

  4. Y. Coudière, C. Pierre, O. Rousseau and R. Turpault.   2D/3D Discrete Duality Finite Volume (DDFV) scheme for anisotropic- heterogeneous elliptic equations, application to the electrocardiogram simulation. .
    Int. symposium on Finite Volumes for Complex Applications V: pp. 313-320. Aussois, France, june 8-13, 2008.
    HAL

  5. Y. Coudière and C. Pierre.   Stability and Convergence of a Finite Volume Method for a Reaction Diffusion System in Electro-Cardiology.
    In proc., Int. symposium on Finite Volumes for Complex Applications IV: pp. 163-172, Marrakech, july 2005.
    PDF
Short Vitæ
2007  :   CNRS Research Engineer
Laboratoires de Mathématiques et de leurs Applications - PAU
Université de Pau et des Pays de l'Adour.

2005-2007  : CRM Postdoctoral Fellowship, with Y. Bourgault
Department of Mathematics and Statistic,
University of Ottawa.

2002-2005  : PhD in Applied Mathematics, with Y. Coudière and F. Jauberteau.
Laboratoire de Mathématiques Jean Leray ,
Université de Nantes.

2001-2002  : Master in Applied Mathematics (Université de Nantes),
Master Thesis with F. Plouraboué
at the IMFT (Institut de Mécanique des Fluides de Toulouse).