, 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/mma.1670020103
URL : http://onlinelibrary.wiley.com/doi/10.1002/(SICI)1099-1476(199806)21:9<823::AID-MMA976>3.0.CO;2-B/pdf
, Finite element exterior calculus, homological techniques, and applications, Acta Numerica, vol.15, pp.1-155, 2006.
DOI : 10.1017/S0962492906210018
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.118.9322
, Finite element exterior calculus: from Hodge theory to numerical stability, Bulletin of the American Mathematical Society, vol.47, issue.2, pp.281-354, 2010.
DOI : 10.1090/S0273-0979-10-01278-4
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.150.7843
, -Theory of the Maxwell operator in arbitrary domains, Russian Mathematical Surveys, vol.42, issue.6, p.75, 1987.
DOI : 10.1070/RM1987v042n06ABEH001505
URL : https://hal.archives-ouvertes.fr/inria-00435175
, A note on the deRham complex and a discrete compactness property, Applied Mathematics Letters, vol.14, issue.1, pp.33-38, 2001.
DOI : 10.1016/S0893-9659(00)00108-7
, Interpolation estimates for edge finite elements and application to band gap computation, Applied Numerical Mathematics, vol.56, issue.10-11, pp.10-111283, 2006.
DOI : 10.1016/j.apnum.2006.03.014
, Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains, Journal of Mathematical Analysis and Applications, vol.408, issue.2, pp.498-512, 2013.
DOI : 10.1016/j.jmaa.2013.06.018
URL : https://hal.archives-ouvertes.fr/hal-01024489
, Computational Electromagnetism, Variational Formulations, Complementary, Edge Elements , volume 2 of Electromagnetism, 1998.
, Functional analysis, Sobolev spaces and partial differential equations, 2011.
DOI : 10.1007/978-0-387-70914-7
, On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems, SIAM Journal on Numerical Analysis, vol.38, issue.2, pp.580-607, 2000.
DOI : 10.1137/S0036142999357506
, Stability of Hodge decompositions in finite element spaces of differential forms in arbitrary dimension, Numerische Mathematik, vol.26, issue.1, pp.87-106, 2007.
DOI : 10.1515/9781400877577
, Upwinding in Finite Element Systems of Differential Forms, 2015.
DOI : 10.1017/CBO9781139095402.004
, Smoothed projections in finite element exterior calculus, Mathematics of Computation, vol.77, issue.262, pp.813-829, 2008.
DOI : 10.1090/S0025-5718-07-02081-9
, 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
, On the approximation of electromagnetic fields by edge finite elements. Part 1: Sharp interpolation results for low-regularity fields, Computers & Mathematics with Applications, vol.71, issue.1, pp.85-104, 2016.
DOI : 10.1016/j.camwa.2015.10.020
URL : https://hal.archives-ouvertes.fr/hal-01176476
, Abstract, Computational Methods in Applied Mathematics, vol.16, issue.1, pp.51-75, 2016.
DOI : 10.1515/cmam-2015-0034
URL : https://hal.archives-ouvertes.fr/hal-01563594
, Finite element quasi-interpolation and best approximation, ESAIM Math. Model. Numer. Anal, vol.51, issue.4, pp.1367-1385, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01155412
, Local bounded cochain projections, Mathematics of Computation, vol.83, issue.290, pp.2631-2656, 2014.
DOI : 10.1090/S0025-5718-2014-02827-5
URL : http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.294.8462&rep=rep1&type=pdf
, Canonical construction of finite elements, Mathematics of Computation, vol.68, issue.228, pp.1325-1346, 1999.
DOI : 10.1090/S0025-5718-99-01166-7
, Finite elements in computational electromagnetism, Acta Numerica, vol.11, issue.1, pp.237-339, 2002.
DOI : 10.1017/cbo9780511550140.004
, Regularity of weak solutions of Maxwell's equations with mixed boundary-conditions, Mathematical Methods in the Applied Sciences, vol.2, issue.14, pp.1255-1274, 1999.
DOI : 10.1002/mma.1670020103
, On a discrete compactness property for the Nédélec finite elements, J. Fac. Sci. Univ. Tokyo Sect. IA Math, vol.36, issue.3, pp.479-490, 1989.
, A finite element method for approximating the time-harmonic Maxwell equations, Numerische Mathematik, vol.28, issue.1, pp.243-261, 1992.
DOI : 10.1007/BF01385860
, Finite element methods for Maxwell's equations. Numerical Mathematics and Scientific Computation, 2003.
, Discrete compactness and the approximation of Maxwell's equations in $\mathbb{R}^3$, Mathematics of Computation, vol.70, issue.234, pp.507-523, 2001.
DOI : 10.1090/S0025-5718-00-01229-1
, Aubin???Nitsche Estimates Are Equivalent to Compact Embeddings, BIT Numerical Mathematics, vol.44, issue.2, pp.287-290, 2001.
DOI : 10.1023/B:BITN.0000039392.78980.06
, A multilevel decomposition result in H(curl), Multigrid, Multilevel and Multiscale Methods, 2005.
, A posteriori error estimates for Maxwell equations, Mathematics of Computation, vol.77, issue.262, pp.633-649, 2008.
DOI : 10.1090/S0025-5718-07-02030-3
, A local compactness theorem for Maxwell's equations, Mathematical Methods in the Applied Sciences, vol.46, issue.3, pp.12-25, 1980.
DOI : 10.1016/0022-247X(74)90250-9
, Some observations on Babu\vs}ka and Brezzi theories, Numerische Mathematik, vol.94, issue.1, pp.195-202, 2003.
DOI : 10.1007/s002110100308
, Optimal Error Estimates for Nedelec Edge Elements for Time-harmonic Maxwell's Equations, Journal of Computational Mathematics, vol.27, issue.5, pp.563-572, 2009.
DOI : 10.4208/jcm.2009.27.5.011