An Introduction to Mathematics of Emerging Biomedical Imaging, Mathématiques et Applications, vol.62, 2008. ,
Reconstruction of Small Inhomogeneities from Boundary Measurements, Lecture Notes in Mathematics, vol.1846, 2004. ,
DOI : 10.1007/b98245
Vector potentials in three-dimensional non-smooth domains, Mathematical Methods in the Applied Sciences, vol.2, issue.9, pp.823-864, 1998. ,
DOI : 10.1002/(SICI)1099-1476(199806)21:9<823::AID-MMA976>3.0.CO;2-B
A class of iterative methods for solving saddle point problems, Numerische Mathematik, vol.49, issue.7, pp.56-645, 1990. ,
DOI : 10.1007/BF01405194
GENERALIZED FORMULATIONS OF MAXWELL'S EQUATIONS FOR NUMERICAL VLASOV???MAXWELL SIMULATIONS, Mathematical Models and Methods in Applied Sciences, vol.17, issue.05, pp.657-680, 2007. ,
DOI : 10.1142/S0218202507002066
Interpolation Spaces: an Introduction, 1976. ,
DOI : 10.1007/978-3-642-66451-9
Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements, Mathematics of Computation, vol.80, issue.276, pp.1887-1910, 2011. ,
DOI : 10.1090/S0025-5718-2011-02464-6
Scott The Mathematical Theory of Finite Element Methods, 2008. ,
Fortin Mixed and hybrid finite element methods, Series in Computational Mathematics 15, 1991. ,
Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients, SIAM Journal on Numerical Analysis, vol.37, issue.5, pp.1542-1570, 2000. ,
DOI : 10.1137/S0036142998349977
Selected Topics in Finite Element Methods, 2010. ,
T-coercivity: Application to the discretization of Helmholtz-like problems, Computers & Mathematics with Applications, vol.64, issue.1, pp.22-34, 2012. ,
DOI : 10.1016/j.camwa.2012.02.034
URL : https://hal.archives-ouvertes.fr/hal-00849560
Analysis of the Scott???Zhang interpolation in the fractional order Sobolev spaces, Journal of Numerical Mathematics, vol.21, issue.3, pp.173-180, 2013. ,
DOI : 10.1515/jnum-2013-0007
URL : https://hal.archives-ouvertes.fr/hal-00937677
NUMERICAL ANALYSIS OF THE GENERALIZED MAXWELL EQUATIONS (WITH AN ELLIPTIC CORRECTION) FOR CHARGED PARTICLE SIMULATIONS, Mathematical Models and Methods in Applied Sciences, vol.19, issue.11, pp.1959-1994, 2009. ,
DOI : 10.1142/S0218202509004017
URL : https://hal.archives-ouvertes.fr/hal-00291503
Finite element convergence for the Darwin model to Maxwell's equations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.31, issue.2, pp.31-213, 1997. ,
DOI : 10.1051/m2an/1997310202131
Fully discrete finite element approaches for time-dependent Maxwell's equations, Numerische Mathematik, vol.82, issue.2, pp.193-219, 1999. ,
DOI : 10.1007/s002110050417
Singularities of Maxwell interface problems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.3, pp.627-649, 1999. ,
DOI : 10.1051/m2an:1999155
Elliptic Boundary Value Problems on Corner Domains, Lecture notes in mathematics 1341, 1988. ,
Singularities of Corner Problems and Problems of Corner Singularities, ESAIM: Proceedings, vol.6, pp.19-40, 1999. ,
DOI : 10.1051/proc:1999044
Raviart Finite element methods for Navier-Stokes equations, Series in Computational Mathematics 5, 1986. ,
Finite elements in computational electromagnetism, Acta Numerica, vol.11, pp.237-339, 2002. ,
Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces, SIAM Journal on Numerical Analysis, vol.45, issue.6, pp.2483-2509, 2007. ,
DOI : 10.1137/060660588
Substructuring preconditioners for saddle-point problems arising from Maxwell???s equations in three dimensions, Mathematics of Computation, vol.73, issue.245, pp.35-61, 2004. ,
DOI : 10.1090/S0025-5718-03-01541-2
Nonlinear Inexact Uzawa Algorithms for Linear and Nonlinear Saddle-point Problems, SIAM Journal on Optimization, vol.16, issue.3, pp.798-825, 2006. ,
DOI : 10.1137/S1052623403428683
A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations, Mathematics of Computation, vol.77, issue.263, pp.1333-1353, 2008. ,
DOI : 10.1090/S0025-5718-08-02057-7
The Inhomogeneous Dirichlet Problem in Lipschitz Domains, Journal of Functional Analysis, vol.130, issue.1, pp.161-219, 1995. ,
DOI : 10.1006/jfan.1995.1067
On enforcing Gauss' law in electromagnetic particle-in-cell codes, Computer Physics Communications, vol.70, issue.3, pp.447-450, 1992. ,
DOI : 10.1016/0010-4655(92)90105-8
A method for incorporating Gauss' law into electromagnetic PIC codes, Journal of Computational Physics, vol.68, issue.1, pp.48-55, 1987. ,
DOI : 10.1016/0021-9991(87)90043-X
Finite Element Methods for Maxwell's quations, 2003. ,
Mixed finite elements in ?3, Numerische Mathematik, vol.12, issue.3, pp.315-341, 1980. ,
DOI : 10.1007/BF01396415
TRANSMISSION PROBLEMS FOR THE LAPLACE AND ELASTICITY OPERATORS: REGULARITY AND BOUNDARY INTEGRAL FORMULATION, Mathematical Models and Methods in Applied Sciences, vol.09, issue.06, pp.855-898, 1999. ,
DOI : 10.1142/S0218202599000403
A Preconditioned Iterative Method for Saddlepoint Problems, SIAM Journal on Matrix Analysis and Applications, vol.13, issue.3, pp.887-904, 1992. ,
DOI : 10.1137/0613054
Finite element interpolation of nonsmooth functions satisfying boundary conditions, Mathematics of Computation, vol.54, issue.190, pp.54-483, 1990. ,
DOI : 10.1090/S0025-5718-1990-1011446-7
BiCGstab(l) and other hybrid Bi-CG methods, Numerical Algorithms, vol.15, issue.1, pp.75-109, 1994. ,
DOI : 10.1007/BF02141261