The eect of a thin coating on the scattering of a time-harmonic wave for the Helmholtz equation, SIAM Journal on Applied Mathematics, vol.56, issue.6, p.16641693, 1996. ,
Asymptotic Analysis of Shell-like Inclusions with??High??Rigidity, Journal of Elasticity, vol.47, issue.123, p.153172, 2011. ,
DOI : 10.1007/s10659-010-9278-1
URL : https://hal.archives-ouvertes.fr/hal-00790346
Functional analysis, Sobolev spaces and partial dierential equations, 2010. ,
DOI : 10.1007/978-0-387-70914-7
Eddy Currents and Corner Singularities, IEEE Transactions on Magnetics, vol.48, issue.2, p.679682, 2012. ,
DOI : 10.1109/TMAG.2011.2175378
URL : https://hal.archives-ouvertes.fr/inria-00614033
Asymptotic expansion of the solution of an interface problem in a polygonal domain with thin layer, Asymptotic Analysis, vol.50, issue.1 2, p.121173, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00001555
On the influence of the geometry on skin effect in electromagnetism, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.9-12, pp.1053-1068, 2011. ,
DOI : 10.1016/j.cma.2010.11.011
URL : https://hal.archives-ouvertes.fr/hal-00503170
Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism, Journal of Mathematical Analysis and Applications, vol.370, issue.2, p.555572, 2010. ,
DOI : 10.1016/j.jmaa.2010.04.060
URL : https://hal.archives-ouvertes.fr/hal-00422315
New post-processing method for interpretation of through casing resistivity (TCR) measurements, Journal of Applied Geophysics, vol.74, issue.1, pp.19-25, 2011. ,
DOI : 10.1016/j.jappgeo.2011.02.011
High-order accurate thin layer approximations for time-domain electromagnetics, Part II: Transmission layers, Journal of Computational and Applied Mathematics, vol.234, issue.8, p.23425872608, 2010. ,
DOI : 10.1016/j.cam.2010.03.022
URL : https://hal.archives-ouvertes.fr/hal-00739326
High-order accurate thin layer approximations for timedomain electromagnetics. Part I: General metal backed coatings, Journal of computational and applied mathematics, vol.231, issue.2, p.598611, 2009. ,
DOI : 10.1016/j.cam.2010.03.022
URL : https://hal.archives-ouvertes.fr/hal-00739326
Singularities of Maxwell interface problems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.3, p.627649, 1999. ,
DOI : 10.1051/m2an:1999155
Modèles et asymptotiques des interfaces nes et périodiques en électromagnétisme, 2010. ,
Approximate models for wave propagation across thin periodic interfaces, Journal de Math??matiques Pures et Appliqu??es, vol.98, issue.1, p.2871, 2012. ,
DOI : 10.1016/j.matpur.2012.01.003
URL : https://hal.archives-ouvertes.fr/hal-00741614
Time-harmonic Maxwell equations in biological cells. The dierential form formalism to treat the thin layer, Conuentes Mathematici, vol.3, issue.2, p.325357, 2011. ,
Thin layer models for electromagnetism, Communications in Computational Physics, vol.16, p.213238, 2014. ,
Eective boundary conditions for acoustic and electromagnetic scattering in thin layers, 1993. ,
Fast inversion of 3D Borehole Resistivity Measurements using Model Reduction Techniques based on 1D Semi-Analytical Solutions ,
Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings, Journal of Computational and Applied Mathematics, vol.143, issue.2, p.201236, 2002. ,
DOI : 10.1016/S0377-0427(01)00508-8
URL : https://hal.archives-ouvertes.fr/hal-00744183
GENERALIZED IMPEDANCE BOUNDARY CONDITIONS FOR SCATTERING BY STRONGLY ABSORBING OBSTACLES: THE SCALAR CASE, Mathematical Models and Methods in Applied Sciences, vol.15, issue.08, p.1512731300, 2005. ,
DOI : 10.1142/S021820250500073X
URL : https://hal.archives-ouvertes.fr/hal-00743895
Construction and analysis of approximate models for electromagnetic scattering from imperfectly conducting scatterers, 2007. ,
URL : https://hal.archives-ouvertes.fr/inria-00174345
Electric potential due to an innite conducting cylinder with internal or external point charge, Journal of electrostatics, vol.63, issue.12, p.11151131, 2005. ,
DOI : 10.1016/j.elstat.2005.02.005
Isogeometric Analysis, Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), p.19441354195, 2005. ,
DOI : 10.1142/9789814324359_0015
URL : https://hal.archives-ouvertes.fr/hal-01214741
Impedance boundary conditions for transient scattering problems, IEEE Transactions on Magnetics, vol.33, issue.2, p.14441447, 1997. ,
DOI : 10.1109/20.582531
The electrical eld in a borehole with a casing, Geophysics, vol.55, issue.1, p.2938, 1990. ,
A transmission???line model for electrical logging through casing, GEOPHYSICS, vol.58, issue.12, p.17391747, 1993. ,
DOI : 10.1190/1.1443388
Semi-analytical response of acoustic logging measurements in frequency domain, Computers & Mathematics with Applications, vol.70, issue.4, p.314329, 2015. ,
DOI : 10.1016/j.camwa.2015.03.028
PML enhanced with a self-adaptive goal-oriented hp-nite element method: Simulation of through-casing borehole resistivity measurements, SIAM Journal on Scientic Computing, issue.6, p.3029482964, 2008. ,
Two-Dimensional High- Accuracy Simulation of Resistivity Log ging-While-Drilling (LWD) Measurements Using a Self-Adaptive Goal-Oriented hp Finite Element Method, SIAM Journal on Applied Mathematics, issue.6, p.6620852106, 2006. ,
A self-adaptive goaloriented hp-nite element method with electromagnetic applications. Part II: Electrodynamics . Computer methods in applied mechanics and engineering, p.19635853597, 2007. ,
DOI : 10.1016/j.cma.2006.10.016
A goal-oriented hp-adaptive nite element method with electromagnetic applications. Part I: electrostatics, International Journal for Numerical Methods in Engineering, issue.8, p.6512691309, 2006. ,
Simulation of multifrequency borehole resistivity measurements through metal casing using a goal-oriented hp nite-element method ,
Feasibility study for 2D frequency-dependent electromagnetic sensing through casing, GEOPHYSICS, vol.72, issue.3, pp.111-118, 2007. ,
DOI : 10.1190/1.2712058
Simulations of 3D DC borehole resistivity measurements with a goal-oriented hp nite-element method. Part II: through-casing resistivity instruments, Computational Geosciences, vol.12, issue.1, p.8389, 2008. ,
Sensitivity study of borehole-to-surface and crosswell electromagnetic measurements acquired with energized steel casing to water displacement in hydrocarbon-bearing layers, GEOPHYSICS, vol.73, issue.6, pp.73-261, 2008. ,
DOI : 10.1190/1.2993538
On the Green???s function for the Helmholtz operator in an impedance circular cylindrical waveguide, Journal of Computational and Applied Mathematics, vol.235, issue.1, p.244262, 2010. ,
DOI : 10.1016/j.cam.2010.05.053
Mathematical modeling of electromagnetic phenomena in high contrast media. Theses, Université Rennes 1, 2009. ,
Equivalent Boundary Conditions for an Elasto-Acoustic Problem set in a Domain with a Thin Layer, ESAIM: Mathematical Modelling and Numerical Analysis, vol.48, issue.5, 2013. ,
DOI : 10.1051/m2an/2014002
Equivalent Boundary Conditions for an Elasto-Acoustic Problem set in a Domain with a Thin Layer, ESAIM: Mathematical Modelling and Numerical Analysis, vol.48, issue.5, pp.1431-1449, 2014. ,
DOI : 10.1051/m2an/2014002
Approximate transmission conditions for time-harmonic Maxwell equations in a domain with thin layer, 2008. ,
Equivalent transmission conditions for the timeharmonic Maxwell equations in 3D for a medium with a highly conductive thin sheet, SIAM Journal on Applied Mathematics, vol.76, issue.3, p.10311052, 2016. ,
Asymptotic expansion of steady-state potential in a high contrast medium with a thin resistive layer, Applied Mathematics and Computation, vol.221, pp.48-65, 2013. ,
DOI : 10.1016/j.amc.2013.06.047
URL : https://hal.archives-ouvertes.fr/inria-00442659
Rigorous asymptotics for the elecric eld in TM mode at mid-frequency in a bidimensional medium with thin layer. arXiv preprint math/0607403 Asymptotics for steady-state voltage potentials in a bidimensional highly contrasted medium with thin layer, Mathematical Methods in the Applied Sciences, issue.4, pp.31443-479, 2006. ,
Approximate transmission conditions through a weakly oscillating thin layer, Mathematical Methods in the Applied Sciences, vol.67, issue.4, p.435453, 2009. ,
DOI : 10.1002/mma.1045
URL : https://hal.archives-ouvertes.fr/inria-00334772
Compensation eect analysis in DIE method for through-casing measuring formation resistivity, Journal of Applied Geophysics, vol.74, issue.4, p.287293, 2011. ,
Reduced B??zier element quadrature rules for quadratic and cubic splines in isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, vol.277, p.145, 2014. ,
DOI : 10.1016/j.cma.2014.04.008
High-order numerical modelling of highly conductive thin sheets, 2008. ,
DOI : 10.1007/s00033-009-0043-x
A unied analysis of transmission conditions for thin conducting sheets in the time-harmonic eddy current model, SIAM Journal on Applied Mathematics, vol.73, issue.6, 2013. ,
Robust Transmission Conditions of High Order for Thin Conducting Sheets in Two Dimensions, IEEE Transactions on Magnetics, vol.50, issue.2, p.4144, 2014. ,
DOI : 10.1109/TMAG.2013.2285437
Asymptotic modelling of conductive thin sheets, Zeitschrift für angewandte Mathematik und Physik, p.603626, 2010. ,
DOI : 10.1007/s00033-009-0043-x
URL : https://hal.archives-ouvertes.fr/inria-00527608
High order transmission conditions for thin conductive sheets in magneto-quasistatics, ESAIM: Mathematical Modelling and Numerical Analysis, vol.45, issue.6, p.4511151140, 2011. ,
DOI : 10.1051/m2an/2011009
URL : https://hal.archives-ouvertes.fr/inria-00473213
Generalized impedance boundary conditions in scattering, Proceedings of the IEEE, p.14131420, 1991. ,
DOI : 10.1109/5.104216
Adaptive hp-FEM with arbitrary-level hanging nodes for Maxwell's equations, Adv. Appl. Math. Mech, vol.2, issue.4, p.518532, 2010. ,
Analyse multi-échelle et conditions aux limites approchées pour un problème avec couche mince dans un domaine à coin, 2003. ,
Eciency of approximate boundary conditions for corner domains coated with thin layers, Comptes Rendus Mathematique, vol.340, issue.3, p.215220, 2005. ,
A class of discontinuous PetrovGalerkin methods. Part IV: The optimal test norm and timeharmonic wave propagation in 1D, Inria RESEARCH CENTRE BORDEAUX ? SUD-OUEST 200 avenue de la Vieille Tour 33405, p.24062432, 2011. ,