Homogenization and two-scale convergence, SIAM J. Math. Anal, vol.23, pp.1482-1518, 1992. ,
URL : https://hal.archives-ouvertes.fr/hal-01111805
Homogenization of a single phase flow through a porous medium in a thin layer, Math. Models Methods Appl. Sci, vol.17, pp.1317-1349, 2007. ,
Darcy's laws for non-stationary viscous fluid flow in a thin porous medium, Math. Methods Appl. Sci, vol.40, pp.2878-2895, 2017. ,
Homogenization of Bingham flow in thin porous media, Netw. Heterog. Media, vol.15, pp.87-110, 2020. ,
URL : https://hal.archives-ouvertes.fr/hal-02059914
Multiscale modeling of elastic waves: theoretical justification and numerical simulation of band gaps, Multiscale Model. Simul, vol.7, pp.1-21, 2008. ,
Effective transmission conditions for reaction-diffusion processes in domains separated by thin channels, Applicable Analysis, vol.0, pp.1-15, 2020. ,
T -coercivity for scalar interface problems between dielectrics and metamaterials, ESAIM Math. Model. Numer. Anal, vol.46, pp.1363-1387, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00564312
, T-coercivity for the Maxwell problem with sign-changing coefficients, Comm. Partial Differential Equations, vol.39, pp.1007-1031, 2014.
Two-field and three-field formulations for wave transmission between media with opposite sign dielectric constants, J. Comp. Appl. Math, vol.204, pp.408-417, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00876230
Time harmonic wave diffraction problems in materials with sign-shifting coefficients, J. Comput. Appl. Math, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00975073
Homogenization of the eigenvalues of the Neumann-Poincaré operator, Arch. Ration. Mech. Anal, vol.234, pp.777-855, 2019. ,
Homogenization of finite metallic fibers and 3d-effective permittivity tensor, tech. rep, 2009. ,
, Multiscale nanorod metamaterials and realizable permittivity tensors, vol.11, pp.489-507, 2012.
Homogenization of a wire photonic crystal: the case of small volume fraction, SIAM J. Appl. Math, vol.66, pp.2061-2084, 2006. ,
Boundary homogenization in perforated domains for adsorption problems with an advection term, Appl. Anal, vol.95, pp.1517-1533, 2016. ,
Homogenization of Maxwell's equations and related scalar problems with sign-changing coefficients, Annales de la Faculté des sciences de Toulouse : Mathématiques, 2020. ,
Homogenization of materials with sign changing coefficients, Commun. Math. Sci, vol.14, pp.1137-1154, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01162225
Upscaling of a double porosity problem with jumps in thin porous media ,
Homogénéisation deséquations de la diffusion stationnaire dans les domaines cylindriques aplatis, RAIRO Anal. Numér, vol.15, pp.295-319, 1981. ,
, Thin elastic and periodic plates, Math. Methods Appl. Sci, vol.6, pp.159-191, 1984.
Modelling of thin elastic plates with small piezoelectric inclusions and distributed electronic circuits. Models for inclusions that are small with respect to the thickness of the plate, J. Elasticity, vol.55, pp.111-141, 1999. ,
URL : https://hal.archives-ouvertes.fr/hal-00957646
Modeling of thin isotropic elastic plates with small piezoelectric inclusions and distributed electric circuits, Math. Methods Appl. Sci, vol.38, pp.66-86, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-02963431
Homogenization of a model for the propagation of sound in the lungs, Multiscale Model. Simul, vol.13, pp.43-71, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00764982
T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients, Numer. Math, vol.124, pp.1-29, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00688862
A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials, J. Comput. Appl. Math, vol.239, pp.189-207, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00697755
The periodic unfolding method, of Series in Contemporary Mathematics, vol.3, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-00113107
Homogenization limits of the equations of elasticity in thin domains, SIAM J. Math. Anal, vol.18, pp.435-451, 1987. ,
Homogenization limits of diffusion equations in thin domains, RAIRO Modél. Math. Anal. Numér, vol.22, pp.53-74, 1988. ,
Homogenization and dimension reduction of filtration combustion in heterogeneous thin layers, Netw. Heterog. Media, vol.9, pp.709-737, 2014. ,
Existence, uniqueness and finite element approximation of the solution of time-harmonic electromagnetic boundary value problems involving metamaterials, COMPEL, vol.24, pp.1450-1469, 2005. ,
Correctors and error estimates for reactiondiffusion processes through thin heterogeneous layers in case of homogenized equations with interface diffusion, J. Comput. Appl. Math, vol.383, p.29, 2021. ,
, Singular limit for reactive diffusive transport through an array of thin channels in case of critical diffusivity, 2020.
Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the microscopic bulk-layer interface, Netw. Heterog. Media, vol.13, pp.609-640, 2018. ,
A two-dimensional electrostatic model of interdigitated comb drive in longitudinal mode, SIAM J. Appl. Math, vol.80, pp.792-813, 2020. ,
Asymptotics for models of non-stationary diffusion in domains with a surface distribution of obstacles, Math. Methods Appl. Sci, vol.42, pp.403-413, 2019. ,
Homogenization via unfolding in periodic layer with contact, Asymptot. Anal, vol.99, pp.23-52, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01240008
, Asymptotic analysis for domains separated by a thin layer made of periodic vertical beams, J. Elasticity, vol.128, pp.291-331, 2017.
Diffusion in a highly heterogeneous thin domain, Asymptot. Anal, vol.39, pp.147-167, 2004. ,
Derivation of cable equation by multiscale analysis for a model of myelinated axons, Discrete Contin. Dyn. Syst. Ser. B, vol.25, pp.815-839, 2020. ,
Asymptotic analysis of boundary-value problems in thin perforated domains with rapidly varying thickness, Nonlinear Oscillations, vol.13, pp.57-84, 2010. ,
Effective transmission conditions for reaction-diffusion processes in domains separated by an interface, SIAM J. Math. Anal, vol.39, pp.687-720, 2007. ,
A general convergence result for a functional related to the theory of homogenization, SIAM J. Math. Anal, vol.20, pp.608-623, 1989. ,
Asymptotic behavior of solutions to the Helmholtz equations with sign changing coefficients, Trans. Amer. Math. Soc, vol.367, pp.6581-6595, 2015. ,
, Limiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficients, J. Math. Pures Appl, vol.9, pp.342-374, 2016.
Limiting Absorption Principle and Well-Posedness for the Time-Harmonic Maxwell Equations with Anisotropic Sign-Changing Coefficients, Comm. Math. Phys, vol.379, pp.145-176, 2020. ,
A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients, J. Comput. Appl. Math, vol.235, pp.4272-4282, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00517989
A warning about metamaterials for users of frequency-domain numerical simulators, IEEE Trans. Antennas and Propagation, vol.56, pp.792-798, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-01171289
, Homogenization of Thin and Thick Metamaterials and Applications, in Metamaterials -Devices and Applications, A. L. Borja, pp.149-165, 2017.
Metamaterials: How the subject started, Metamaterials, pp.12-18, 2007. ,
, Metamaterials and negative refractive index, pp.788-792, 2004.