Clair Poignard

Clair Poignard

Research Scientist (CR 1)

clair.poignard_AT_inria.fr

Preprints/Research reports

  1. C. Poignard.
     "Boundary Layer Correctors and Generalized Polarization Tensor for Periodic Rough Thin Layers. A Review for the Conductivity Problem."
    Reasearch Report INRIA RR-7603. 32 pp. April 2011.
  1. F. Buret, N. Faure, L. Nicolas, R. Perrussel and C. Poignard.
     "Numerical studies on the effect of electric pulses on an egg-shaped cell with a spherical nucleus".
    Research report INRIA RR-7270. 21pp. April 2010. Submitted.
  1. R. Perrussel and C. Poignard.
     "Asymptotic Expansion of Steady-State Potential in a High Contrast Medium with a Thin Resistive Layer".
    Research report INRIA RR-7163. 22pp. January 2010

Published or Accepted Papers

Articles in mathematical journals

  1. M. Duruflé, V. Péron and C. Poignard.
     "Time-harmonic Maxwell equations in biological cells - The differential form formalism to treat the thin layer"
    Published in Confluentes Mathematici. Vol. 3, Issue 2, 2011.
  1. I.S. Ciuperca, R. Perrussel and C. Poignard.
     "Two-scale analysis for very rough thin layers. An explicit characterization of the polarization tensor".
    Published in JMPA. Vol. 95, Issue 03, pp. 277-295, 2011.
  1. C. Poignard.
     " Explicit characterization of the polarization tensor for rough thin layers".
    Published in European Journal of Applied Mathematics. Vol. 22, pp. 1-6, 2011.
  1. N. Cîndea, N. Fabrèges, F. De Gournay and C. Poignard.
     "Optimal placement of electrodes in an electroporation process".
    Published in ESAIM: Proc. Vol. 30, pp. 34-43, 2010.
  1. I. Ciuperca, M. Jai and C. Poignard.
     "Approximate transmission conditions through a rough thin layer. The case of the periodic roughness".
    Published in European Journal of Applied Mathematics. Vol. 21, Issue 01, pp. 51-75, January 2010.
  1. C. Poignard.
     "About the transmembrane voltage potential of a biological cell in time-harmonic regime".
    Published in ESAIM:Proceedings. Vol 26. Pages 162-179, April 2009
  1. C. Poignard.
     "Approximate transmission conditions through a weakly oscillating thin layer".
    Published in Mathematical Methods in the Applied Sciences Volume 32, Issue 4, Pages 435-453, 15 March 2009
  1. C. Poignard.
     "Generalized Impedance Boundary Condition At High Frequency For A Domain With Thin Layer: The Circular Case".
    Published in Applicable Analysis. Volume 86, Issue 12 December 2007, pages 1549-1568.
    DOI:10.1080/00036810701714172
  1. C. Poignard.
     "Asymptotics for steady state voltage potentials in a bidimensional highly contrasted medium with thin layer".
    Published in MMAS. DOI: 10.1002/mma.923. electronic version. 37 pp. 2007
  1. D. Hansen, C. Poignard, M. Vogelius.
     "Asymptotically precise norm estimates of scattering from a small circular inhomogeneity".
    Published in Applicable Analysis. Volume 86, Issue 4 (2007), pages 433-458.
    DOI:10.1080/00036810701243073

Articles in other journals (IEEE, EBJo)

  1. F. Buret, M. Dauge, P. Dular, L. Krähenbühl, V. Péron, R. Perrussel, C. Poignard and D. Voyer.
     "Eddy Currents and Corner Singularities."
    Accepted in IEEE Trans on Mag. (2011)
  1. L. Krähenbühl, F. Buret, R. Perrussel, D. Voyer, P. Dular, V. Péron, et C. Poignard.
     "Numerical treatment of rounded and sharp corners in the modeling of 2D electrostatic fields."
    Published in Journal of Microwaves, Optoelectronics and Electromagnetic Applications JMOe. Vol. 10, Issue 1 (2011)
  1. C. Poignard, A. Silve, F. Campion, L.M. Mir, O. Saut and L. Schwartz.
     "Ion flux, transmembrane potential, and osmotic stabilization: A new electrophysiological dynamic model for Eukaryotic cells."
    Published in European Biophysics Journal. Volume 40, Issue 3 (2011)
  1. I.S. Ciuperca, R. Perrussel and C. Poignard.
     "Influence of a rough thin layer on the potential".
    Published in IEEE Trans. on Mag. 46, 8 (2010) 2823 - 2826.
  1. C. Poignard, P. Dular, R. Perrussel, L. Krähenbühl, L. Nicolas, M. Schatzman.
     "Approximate conditions replacing thin layers".
    Published in IEEE Trans. on Mag. Vol. 44, Issue 6 (2008), Pages: 1154--1157
  1. R. Perrussel, L. Nicolas, F. Musy, L. Krähenbühl, M. Schatzman and C. Poignard.
     " Algebraic multilevel methods for edge elements".
    Published in IEEE Trans. on Mag. Volume 42, Issue 4, Pages:619--622, April 2006. DOI: 10.1109/TMAG.2006.871604
  1. L. Nicolas, N. Burais, F. Buret, O. Fabrègue, L. Krähenbühl, A. Nicolas, C. Poignard, R. Scoretti, N. Siauve and C. Vollaire.
     "Interactions Between Electromagnetic Field and Biological Tissues: Questions, Some Answers and Future Trends".
    Published in International Compumag Society Newsletter, Vol 10, N. 2, Pages:4--9, 2003.

Thesis

  1. C. Poignard.
     "Méthodes asymptotiques pour le calcul des champs électromagnétiques dans des milieux à couche mince. Application aux cellules biologiques".
    PhD Thesis of the University Lyon 1. Nov. 2006
    My advisors were Michelle Schatzman, researcher at the Institut Camille Jordan of Lyon and Laurent Nicolas, director of the Laboratoire Ampère of Lyon (France).

Proceedings

  1. I.S. Ciuperca, R. Perrussel and C. Poignard.
     "Influence of a rough thin layer on the potential".
    in the 17th Biennial COMPUMAG 2009 conference. November 22-26, 2009, Florianopolis, Brazil.
    (Click here to see the corresponding INRIA-report RR-6935.)
  1. R. Perrussel and C. Poignard.
     "Approximate Transmission Conditions for the Laplacian in a High Contrast Medium with a Thin Layer. The Influence of the Curvature".
    in the 9th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2009). June 15-219, 2009 , Pau, France.
  1. C. Poignard.
     "Condition d'impédance généralisée à haute fréquence pour un domaine à couche mince".
    in 3ième Congrès National de Mathématiques Appliquées et Industrielles (CONGRES SMAI2007). 4-8 Juin, 2007, Praz sur Arly, France.
  1. C. Poignard, P. Dular, L. Krähenbühl, L. Nicolas, M. Schatzman.
     "Asymptotics Methods to Compute Electromagnetic Fields".
    in the 16th Biennial COMPUMAG 2007 conference. June 24-28, 2007, Aachen, Germany.
  1. C. Poignard, P. Dular, L. Krähenbühl, L. Nicolas, M. Schatzman.
     "Méthodes asymptotiques pour le calcul de champs".
    in 5ème Conférence Européenne sur les Méthode Numériques en Electromagnétisme (NUMELEC). 29-30 Nov. et 1 Dec. 2006, Lille, France.
  1. C. Poignard.
     "Asymptotic estimates of the electric field in a biological cell at low frequencies".
    in the 7th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2005). June 20-24, 2005 , Brown University, Providence, USA.
  1. C. Poignard, M. Schatzman, L. Nicolas, L. Krähenbühl and R. Perrussel.
     " Asymptotic estimates of the electric field in a circular biological cell at low frequencies.".
    in the 15th Conference on the Computation of Electromagnetic Fields, COMPUMAG 2005. June 26-30, 2005, Shenyang, China.
  1. R. Perrussel, L. Nicolas, L. Krähenbühl, M. Schatzman, and C. Poignard.
     "Algebraic multilevel methods for edge elements".
    in the 15th Conference on the Computation of Electromagnetic Fields, COMPUMAG 2005. June 26-30, 2005, Shenyang, China.