Mathematical foundations of computational electromagnetism, vol.198, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01596575
A perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Phys, vol.114, pp.21-9991, 1994. ,
Acoustic diffraction by a plate in a uniform flow, In: Math. Models Methods Appl. Sci, vol.12, pp.625-647, 2002. ,
On the use of sampling methods to identify cracks in acoustic waveguides, Inverse Problems, vol.28, p.18, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00849558
Integral equation methods in scattering theory, Pure and Applied Mathematics, 1983. ,
Trapped modes in acoustic waveguides, In: Quart. J. Mech. Appl. Math, vol.51, pp.477-492, 1998. ,
Linear operators part I: general theory, vol.243, 1958. ,
Étude mathématique et numérique de la propagation des ondes dans des milieux périodiques localement perturbés, 2009. ,
Exact boundary conditions for wave propagation in periodic media containing a local perturbation, Wave Propagation in Periodic Media, vol.1, pp.108-134, 2009. ,
Solutions of the time-harmonic wave equation in periodic waveguides: asymptotic behaviour and radiation condition, Archive for Rational Mechanics and Analysis, vol.219, pp.349-386, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01086033
On the spectrum of a class of second order periodic elliptic differential operators, Comm. Math. Phys, vol.229, pp.49-55, 2002. ,
Radiation boundary conditions for the numerical simulation of waves, Acta numerica, vol.8, pp.47-106, 1999. ,
Dirichlet-to-Neumann maps for unbounded wave guides, J. Comput. Phys, vol.143, pp.21-9991, 1998. ,
A radiation condition for a periodic semi-infinite waveguide, p.7, 2011. ,
The Limiting Absorption Principle for a Periodic Semi-Infinite Waveguide, In: SIAM J. Appl. Math, vol.71, issue.3, pp.791-810, 2011. ,
Exact boundary conditions for periodic waveguides containing a local perturbation, Commun. Comput. Phys, vol.1, issue.6, pp.945-973, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00977852
Perturbation theory for the Schrödinger operator with a periodic potential, Lecture Notes in Mathematics, vol.1663, 1997. ,
Perturbation theory for linear operators, Classics in Mathematics, 1995. ,
A radiation condition arising from the limiting absorption principle for a closed full-or half-waveguide problem, Mathematical Methods in the Applied Sciences, vol.41, issue.10, pp.3955-3975, 2018. ,
Boundary-value problems for elliptic equations in domains with conical or angular points, In: Trans. Moscow Math. Soc, vol.16, pp.227-313, 1967. ,
Elliptic Boundary Value Problems in Domains with Point Singularities, Mathematical Surveys and Monographs. Providence, vol.52, 1997. ,
Spectral problems associated with corner singularities of solutions to elliptic equations, Mathematical Surveys and Monographs. Providence, vol.85, 2001. ,
, Floquet theory for partial differential equations, vol.60, pp.3-7643, 1993.
The localized finite element method and its application to the two-dimensional sea-keeping problem, In: SIAM J. Numer. Anal, vol.25, pp.36-1429, 1988. ,
URL : https://hal.archives-ouvertes.fr/hal-00974512
Problemes aux limites non homogenes et applications, 1968. ,
On the coefficients in the asymptotics of solutions of elliptic boundary value problems with conical points, Engl. transl. Amer. Math. Soc. Transl, vol.76, pp.29-60, 1977. ,
Embedded Trapped Modes for Obstacles in Two-Dimensional Waveguides, In: Quart. J. Mech. Appl. Math, vol.54, pp.273-293, 2001. ,
Strongly elliptic systems and boundary integral equations, p.357, 2000. ,
The absolute continuity of the spectrum of Maxwell operator in a periodic media, J. Math. Phys, vol.41, pp.7099-7108, 2000. ,
Elliptic boundary value problems with periodic coefficients in a cylinder, Izv. Math, vol.18, pp.89-98, 1982. ,
Umov-Mandelshtam radiation conditions in elastic periodic waveguides, Sbornik: Mathematics, vol.205, pp.953-982, 2014. ,
Radiation principles for selfadjoint elliptic problems, Probl. Mat. Fiz, vol.13, pp.192-244, 1991. ,
Elliptic problems in domains with piecewise smooth boundaries, vol.13, 2011. ,
Trapped modes and edge resonances in acoustics and elasticity, Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism, pp.181-223, 2013. ,
Another approach to elliptic boundary problems, Communications on pure and applied Mathematics, vol.14, pp.711-731, 1961. ,
Methods of modern mathematical physics v. I-IV, pp.1972-1978 ,
Functional analysis, vol.3, p.35, 1955. ,
Absolute continuity in periodic waveguides, Proc, vol.85, pp.717-741, 2002. ,