Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I, Communications on Pure and Applied Mathematics, vol.29, issue.4, pp.623-727, 1959. ,
DOI : 10.1002/cpa.3160120405
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II, Communications on Pure and Applied Mathematics, vol.18, issue.1, pp.35-92, 1964. ,
DOI : 10.1002/cpa.3160170104
Advanced Engineering Electromagnetics, 1989. ,
Approximate transmission conditions through a rough thin layer: The case of periodic roughness, European Journal of Applied Mathematics, vol.320, issue.01 ,
DOI : 10.1002/mma.1045
URL : https://hal.archives-ouvertes.fr/inria-00356124
Singularities of eddy current problems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.37, issue.5, 2003. ,
DOI : 10.1051/m2an:2003056
Corner singularities of Maxwell interface and eddy current problems In Operator theoretical methods and applications to mathematical physics, Oper. Theory Adv. Appl, vol.147, pp.241-256, 2004. ,
Eigenmode Asymptotics in Thin Elastic Plates, Journal de Math??matiques Pures et Appliqu??es, vol.78, issue.9, pp.78925-964, 1999. ,
DOI : 10.1016/S0021-7824(99)00138-5
URL : http://doi.org/10.1016/s0021-7824(99)00138-5
Differential geometry of curves and surfaces, N.J, 1976. ,
Géométrie contemporaine. Méthodes et applications. I Géométrie des surfaces , des groupes de transformations et des champs. [Geometry of surfaces , groups of transformations and fields], 1982. ,
Modern geometry? methods and applications. Part I, volume 93 of Graduate Texts in Mathematics The geometry of surfaces, transformation groups, and fields, 1992. ,
DOI : 10.1007/978-1-4612-4474-5
Effective boundary condition for acoustic and electromagnetic scattering thin layer, 1993. ,
Elasticity on a thin shell: formal series solution, Asymptot. Anal, vol.31, issue.3-4, pp.317-361, 2002. ,
URL : https://hal.archives-ouvertes.fr/inria-00072239
Multiscale Expansions for Linear Clamped Elliptic Shells, Communications in Partial Differential Equations, vol.20, issue.11-12, pp.1799-1845, 2004. ,
DOI : 10.1007/BF00041081
URL : https://hal.archives-ouvertes.fr/inria-00071623
Modelling assemblies of biological cells exposed to electric fields, CCECE '97. Canadian Conference on Electrical and Computer Engineering. Engineering Innovation: Voyage of Discovery. Conference Proceedings, pp.1259-1271, 1998. ,
DOI : 10.1109/CCECE.1997.608312
Differential forms wih applications to the physical sciences, 1963. ,
Dielectric properties of tissues and biological materials: a critical review, CRC in Biomedical Engineering, vol.17, issue.1, pp.25-104, 1989. ,
Reconstruction of a manifold from electromagnetic boundary measurements, Inverse problems: theory and applications, pp.147-161, 2002. ,
DOI : 10.1090/conm/333/05960
Maxwell's equations with a polarization independent wave velocity: Direct and inverse problems, Journal de Math??matiques Pures et Appliqu??es, vol.86, issue.3, pp.237-270, 2006. ,
DOI : 10.1016/j.matpur.2006.01.008
Gradient Estimates for Solutions to Divergence Form Elliptic Equations with Discontinuous Coefficients, Archive for Rational Mechanics and Analysis, vol.153, issue.2, pp.91-151, 2000. ,
DOI : 10.1007/s002050000082
Probì emes aux limites non homogènes et applications, Travaux et Recherches Mathématiques, vol.1, issue.17, 1968. ,
A validated model of in vivo electric field distribution in tissues for electrochemotherapy and for DNA electrotransfer for gene therapy, Biochimica et Biophysica Acta (BBA) - General Subjects, vol.1523, issue.1, pp.73-83, 2000. ,
DOI : 10.1016/S0304-4165(00)00101-X
Electroporation of cells in tissues Methods for detecting cell electropermeabilisation in vivo In Electroporation based Technologies and Treatment: proceedings of the international scientific workshop and postgraduate course, pp.32-35, 2005. ,
Transmembrane voltage induced on altered erythrocyte shapes exposed to RF fields, Bioelectromagnetics, vol.56, issue.8, pp.631-633, 2004. ,
DOI : 10.1002/bem.20065
Probl??mes mixtes pour le syst??me de Maxwell, Annales de la facult?? des sciences de Toulouse Math??matiques, vol.4, issue.2, pp.103-141, 1982. ,
DOI : 10.5802/afst.576
URL : http://archive.numdam.org/article/AFST_1982_5_4_2_103_0.pdf
Description de l'effet de peau par un développement asymptotique, 2009. ,
Rigorous asymptotics for the electric field in tm mode at midfrequency in a bidimensional medium with a thin layer, 2006. ,
Asymptotics for steady-state voltage potentials in a bidimensional highly contrasted medium with thin layer, Mathematical Methods in the Applied Sciences, vol.34, issue.4, 2007. ,
DOI : 10.1002/mma.923
URL : https://hal.archives-ouvertes.fr/inria-00334770
Approximate transmission conditions through a weakly oscillating thin layer, Mathematical Methods in the Applied Sciences, vol.67, issue.4, 2008. ,
DOI : 10.1002/mma.1045
URL : https://hal.archives-ouvertes.fr/inria-00334772
Approximate Conditions Replacing Thin Layers, IEEE Transactions on Magnetics, vol.44, issue.6, pp.1154-1157, 2008. ,
DOI : 10.1109/TMAG.2007.916154
URL : https://hal.archives-ouvertes.fr/hal-00165049
Numerical Determination of Transmembrane Voltage Induced on Irregularly Shaped Cells, Annals of Biomedical Engineering, vol.32, issue.4, pp.642-652, 2006. ,
DOI : 10.1007/s10439-005-9076-2
Hodge Decomposition-A method for solving boundary value problems, Lecture notes, vol.1607, 1995. ,
DOI : 10.1007/BFb0095978
Analysis of the influence of the cell geometry, orientation and cell proximity effects on the electric field distribution from direct RF exposure, Physics in Medicine and Biology, vol.46, issue.1, pp.213-225, 2001. ,
DOI : 10.1088/0031-9155/46/1/315
Electroporation of cell membranes, Biophysical Journal, vol.60, issue.2, pp.297-306, 1991. ,
DOI : 10.1016/S0006-3495(91)82054-9
Sequential Finite Element Model of Tissue Electropermeabilization, IEEE Transactions on Biomedical Engineering, vol.52, issue.5, pp.816-827, 2005. ,
DOI : 10.1109/TBME.2005.845212
URL : https://hal.archives-ouvertes.fr/hal-00319701
Electromagnetic Green functions using differential forms, Journal of Electromagnetic Waves and Applications, vol.32, issue.4, pp.427-438, 1996. ,
DOI : 10.1163/156939396X00504
Electromagnetic Green functions using differential forms, INRIA Centre de recherche INRIA Bordeaux ? Sud Ouest Domaine Universitaire -351, cours de la Libération -33405 Talence Cedex, pp.427-438, 1996. ,
DOI : 10.1163/156939396X00504
Europe -38334 Montbonnot Saint-Ismier Centre de recherche INRIA Lille ? Nord Europe : Parc Scientifique de la Haute Borne -40, avenue Halley -59650 Villeneuve d'Ascq Centre de recherche INRIA Nancy ? Grand Est : LORIA, Technopôle de Nancy-Brabois -Campus scientifique 615, rue du Jardin Botanique -BP 101 -54602 Villers-lès-Nancy Cedex Centre de recherche INRIA Paris ? Rocquencourt : Domaine de Voluceau -Rocquencourt -BP 105 -78153 Le Chesnay Cedex Centre de recherche INRIA Rennes ? Bretagne Atlantique : IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex Centre de recherche INRIA Saclay ? Île-de-France, des Vignes : 4, rue Jacques Monod -91893 Orsay Cedex Centre de recherche INRIA, pp.105-78153, 2004. ,