Handbook of Mathematical Functions, American Journal of Physics, vol.34, issue.2, 1972. ,
DOI : 10.1119/1.1972842
-Version Finite Element Approximation at High Wave Number, SIAM Journal on Numerical Analysis, vol.42, issue.2, pp.553-575, 2004. ,
DOI : 10.1137/S0036142903423460
Convergence Analysis of a Discontinuous Galerkin Method with Plane Waves and Lagrange Multipliers for the Solution of Helmholtz Problems, SIAM Journal on Numerical Analysis, vol.47, issue.2, pp.47-1038, 2009. ,
DOI : 10.1137/060673230
URL : https://hal.archives-ouvertes.fr/hal-00865802
The finite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges, Mathematical Methods in the Applied Sciences, vol.9, issue.6, pp.519-549, 1998. ,
DOI : 10.1007/BFb0086682
Regularity estimates for elliptic boundary value problems in Besov spaces, Mathematics of Computation, vol.72, issue.244, pp.1577-1595, 2002. ,
DOI : 10.1090/S0025-5718-02-01502-8
A perfectly matched layer for the absorption of electromagnetic waves, Journal of Computational Physics, vol.114, issue.2, pp.185-200, 1994. ,
DOI : 10.1006/jcph.1994.1159
Inverse problems in wave propagation, 2012. ,
DOI : 10.1007/978-1-4612-1878-4
The finite element method for elliptic problems, SIAM, 1978. ,
Inverse acoustic and electromagnetic scattering theory, Integral equation methods in scattering theory, SIAM, 2012. ,
DOI : 10.1007/978-3-662-03537-5
URL : http://cds.cern.ch/record/1499488/files/9781461449416_TOC.pdf
Approches analytiques et numériques deprobì emes de transmision en propagation d'ondes en régime transitoire. application au couplage fluide-structure et aux méthodes de couches parfaitement adaptées, 2005. ,
FREQUENCY DOMAIN TREATMENT OF ONE-DIMENSIONAL SCALAR WAVES, Mathematical Models and Methods in Applied Sciences, vol.03, issue.02, pp.171-194, 1993. ,
DOI : 10.1142/S0218202593000102
Absorbing boundary conditions for numerical simulation of waves, Proc. Natl. Acad. Sci. USA, pp.1765-1766, 1977. ,
$hp$-Discontinuous Galerkin methods for the Helmholtz equation with large wave number, Mathematics of Computation, vol.80, issue.276, pp.1997-2024, 2011. ,
DOI : 10.1090/S0025-5718-2011-02475-0
Elliptic problems in nonsmooth domains Edge behaviour of the solution of an elliptic problem, Monographs and Studies in Mathematics Math. Nachr, vol.24, issue.17, pp.182-281, 1985. ,
Finite element methods for the helmholtz equation in an exterior domain: Model problems, Computer Methods in Applied Mechanics and Engineering, vol.87, issue.1, pp.59-96, 1991. ,
DOI : 10.1016/0045-7825(91)90146-W
Stability estimates for a class of Helmholtz problems, Communications in Mathematical Sciences, vol.5, issue.3, pp.665-678, 2007. ,
DOI : 10.4310/CMS.2007.v5.n3.a8
Finite element solution of the Helmholtz equation with high wave number part i: the h-version of the fem, Computers Math Finite element solution of the Helmholtz equation with high wave number part ii: the h-p version of the fem, Applic. SIAM J. Numer. Anal, vol.30, issue.21 1, pp.9-37, 1995. ,
On generalized finite element methods, 1995. ,
Convergence analysis for finite element discretizations of the helmoltz equation with Dirichlet-to-Neumann boundary conditions Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation, Mathematics of Computation SIAM J. Numer. Anal, vol.79, issue.272 3, pp.1871-1914, 2010. ,
Edge Elements on Anisotropic Meshes and Approximation of the Maxwell Equations, SIAM Journal on Numerical Analysis, vol.39, issue.3, pp.784-816, 2001. ,
DOI : 10.1137/S003614290036988X
??ber ein Variationsprinzip zur L??sung von Dirichlet-Problemen bei Verwendung von Teilr??umen, die keinen Randbedingungen unterworfen sind, Abhandlungen aus dem Mathematischen Seminar der Universit??t Hamburg, vol.12, issue.1, pp.9-15, 1971. ,
DOI : 10.1007/BF02161362
Review of a priori error estimation for discontinuous Galerkin methods, 2000. ,
Boundary element methods, 2011. ,
An observation concerning Ritz-Galerkin methods with indefinite bilinear forms, Mathematics of Computation, vol.28, issue.128, pp.959-962, 1974. ,
DOI : 10.1090/S0025-5718-1974-0373326-0
URL : http://www.ams.org/mcom/1974-28-128/S0025-5718-1974-0373326-0/S0025-5718-1974-0373326-0.pdf
Finite element interpolation of nonsmooth functions satisfying boundary conditions, Mathematics of Computation, vol.54, issue.190, pp.483-493, 1990. ,
DOI : 10.1090/S0025-5718-1990-1011446-7
Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator, Lecture Notes in Computer Science From the First ACM Workshop on Applied Computational Geometry, vol.1148, pp.203-222, 1996. ,
DOI : 10.1007/BFb0014497
URL : http://www.cs.cmu.edu/People/bumba/filing_cabinet/./papers/shewchuk-triangle.ps.gz
High-order finite difference methods for the Helmholtz equation, Computer Methods in Applied Mechanics and Engineering, vol.163, issue.1-4, pp.343-358, 1998. ,
DOI : 10.1016/S0045-7825(98)00023-1