Sobolev spaces, Pure and Applied Mathematics, vol.65, 1975. ,
Finite element exterior calculus, homological techniques, and applications, Acta Numer, vol.15, pp.1-155, 2006. ,
Each H 1/2 -stable projection yields convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data in R d, ESAIM Math. Model. Numer. Anal, vol.47, pp.1207-1235, 2013. ,
Some remarks on interpolation and best approximation, Numer. Math, vol.137, pp.289-302, 2017. ,
A note on interpolation, best approximation, and the saturation property, Numer. Math, vol.131, pp.199-203, 2015. ,
Quelques propriétés d'approximation deséléments finis de Nédélec, applicationà l'analyse a posteriori, C. R. Math. Acad. Sci. Paris, vol.344, pp.461-466, 2007. ,
Mixed finite element methods and applications, Springer Series in Computational Mathematics, vol.44, 2013. ,
Comparison results of finite element methods for the Poisson model problem, SIAM J. Numer. Anal, vol.50, pp.2803-2823, 2012. ,
Medius analysis and comparison results for first-order finite element methods in linear elasticity, IMA J. Numer. Anal, vol.35, pp.1591-1621, 2015. ,
Polynomial-degree-robust stability of discrete minimization over a tetrahedron in H(curl). HAL Preprint 02631319, 2020. ,
Smoothed projections in finite element exterior calculus, Math. Comp, vol.77, pp.813-829, 2008. ,
On the approximation of electromagnetic fields by edge finite elements. Part 1: Sharp interpolation results for low-regularity fields, Comput. Math. Appl, vol.71, pp.85-104, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-02276430
Approximation by finite element functions using local regularization, RAIRO Anal. Numer, vol.9, pp.77-84, 1975. ,
On Bogovski? and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains, Math. Z, vol.265, pp.297-320, 2010. ,
Polynomial exact sequences and projection-based interpolation with application to Maxwell equations, pp. x+235. Lectures given at the C.I.M.E. Summer School, vol.1939, 2006. ,
H 1 , H(curl) and H(div)-conforming projection-based interpolation in three dimensions. Quasi-optimal p-interpolation estimates, Comput. Methods Appl. Mech. Engrg, vol.194, pp.267-296, 2005. ,
Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H(div), 2020. ,
URL : https://hal.archives-ouvertes.fr/hal-02268960
Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes, Comput. Methods Appl. Math, vol.16, pp.51-75, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01192941
Finite element quasi-interpolation and best approximation, ESAIM Math. Model. Numer. Anal, vol.51, pp.1367-1385, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01155412
Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions, Comput. Math. Appl, vol.75, pp.918-932, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01531940
Local bounded cochain projections, Math. Comp, vol.83, pp.2631-2656, 2014. ,
Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions, Math. Models Methods Appl. Sci, vol.7, pp.957-991, 1997. ,
Theory and algorithms. Finite element methods for Navier-Stokes equations, of Springer Series in Computational Mathematics, vol.5, 1986. ,
Smoothed projections and mixed boundary conditions, Math. Comp, vol.88, pp.607-635, 2019. ,
On commuting p-version projection-based interpolation on tetrahedra, Math. Comp, vol.89, pp.45-87, 2020. ,
Finite element methods for Maxwell's equations. Numerical Mathematics and Scientific Computation, 2003. ,
Mixed finite elements in R 3, Numer. Math, vol.35, pp.315-341, 1980. ,
A mixed finite element method for 2nd order elliptic problems, Mathematical aspects of finite element methods (Proc. Conf., Consiglio Naz. delle Ricerche, vol.606, pp.292-315, 1975. ,
Commuting quasi-interpolation operators for mixed finite elements, 2001. ,
A multilevel decomposition result in H(curl), Multigrid, Multilevel and Multiscale Methods (EMG 2005, 2005. ,
Finite element interpolation of nonsmooth functions satisfying boundary conditions, Math. Comp, vol.54, pp.483-493, 1990. ,
Robust localization of the best error with finite elements in the reaction-diffusion norm, Constr. Approx, vol.42, pp.313-347, 2015. ,
Approximating gradients with continuous piecewise polynomial functions, Found. Comput. Math, vol.16, pp.723-750, 2016. ,
Best error localizations for piecewise polynomial approximation of gradients, functions and functionals, Numerical mathematics and advanced applications-ENUMATH 2017, vol.126, pp.357-365, 2019. ,