Analysis of a combined barycentric finite volume???nonconforming finite element method for nonlinear convection-diffusion problems, Applications of Mathematics, vol.43, issue.4, pp.263-310, 1998. ,
DOI : 10.1023/A:1023217905340
Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems, SIAM Journal on Numerical Analysis, vol.47, issue.2 ,
DOI : 10.1137/080719583
On a conservation upwind finite element scheme for convective diffusion equations, RAIRO. Analyse num??rique, vol.15, issue.1, pp.3-25, 1981. ,
DOI : 10.1051/m2an/1981150100031
BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS, Mathematical Models and Methods in Applied Sciences, vol.23, issue.01, pp.199199-214, 2013. ,
DOI : 10.1142/S0218202512500492
A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems, IMA Journal of Numerical Analysis, vol.31, issue.4, pp.1357-1401, 2011. ,
DOI : 10.1093/imanum/drq018
Formulation and Analysis of a Parameter-Free Stabilized Finite Element Method, SIAM Journal on Numerical Analysis, vol.53, issue.5, pp.2363-2388, 2015. ,
DOI : 10.1137/14096284X
Compatible Discrete Operator schemes on polyhedral meshes for elliptic and Stokes equations, 2014. ,
URL : https://hal.archives-ouvertes.fr/tel-01116527
Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes, Computer Aided Geometric Design, vol.35, issue.36, pp.27-41, 2015. ,
DOI : 10.1016/j.cagd.2015.03.015
URL : https://hal.archives-ouvertes.fr/hal-01097311
Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.48, issue.2, pp.553-581, 2014. ,
DOI : 10.1051/m2an/2013104
URL : https://hal.archives-ouvertes.fr/hal-00751284
Analysis of compatible discrete operator schemes for stokes problems on polyhedral meshes, IMA J. Numer. Anal, vol.34, issue.4, pp.553-581, 2014. ,
Computational electromagnetism. Electromagnetism, 1998. ,
Computational electromagnetism and geometry, J. Japan Soc. Appl. Electromagn. & Mech, vol.102, issue.1 2 39 4 5 6, pp.7-8150, 1999. ,
Extrusion, contraction: their discretization via Whitney forms, Selected papers from the 10th International IGTE Symposium on Numerical Field Computation, pp.470-480, 2002. ,
DOI : 10.1108/03321640310474877
DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS, Mathematical Models and Methods in Applied Sciences, vol.14, issue.12, pp.1893-1903, 2004. ,
DOI : 10.1142/S0218202504003866
A CONSTRUCTION OF SPACES OF COMPATIBLE DIFFERENTIAL FORMS ON CELLULAR COMPLEXES, Mathematical Models and Methods in Applied Sciences, vol.18, issue.05, pp.739-757, 2008. ,
DOI : 10.1142/S021820250800284X
A new set of basis functions for the discrete geometric approach, Journal of Computational Physics, vol.229, issue.19, pp.7401-7410, 2010. ,
DOI : 10.1016/j.jcp.2010.06.023
$L^2$-Stability Independent of Diffusion for a Finite Element--Finite Volume Discretization of a Linear Convection-Diffusion Equation, SIAM Journal on Numerical Analysis, vol.53, issue.1, pp.508-526, 2015. ,
DOI : 10.1137/140961146
URL : https://hal.archives-ouvertes.fr/hal-01060065
A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes, SIAM Journal on Numerical Analysis, vol.53, issue.5, pp.2135-2157, 2015. ,
DOI : 10.1137/140993971
URL : https://hal.archives-ouvertes.fr/hal-01079342
Mathematical aspects of discontinuous Galerkin methods, ) [Mathematics & Applications ,
DOI : 10.1007/978-3-642-22980-0
Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory, SIAM Journal on Numerical Analysis, vol.44, issue.2 ,
DOI : 10.1137/050624133
Discontinuous Galerkin Methods for Friedrichs??? Systems. Part II. Second???order Elliptic PDEs, SIAM Journal on Numerical Analysis, vol.44, issue.6, pp.2363-2388, 2006. ,
DOI : 10.1137/05063831X
An Intrinsic Criterion for the Bijectivity of Hilbert Operators Related to Friedrich' Systems, Communications in Partial Differential Equations, vol.73, issue.2, pp.1-3317, 2007. ,
DOI : 10.1090/S0002-9947-1985-0797053-4
3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids, Proceedings of Finite Volumes for Complex Applications VI, pp.895-930, 2011. ,
DOI : 10.1007/978-3-642-20671-9_89
URL : https://hal.archives-ouvertes.fr/hal-00580549
Extrusion contraction upwind schemes for convection-diffusion problems, 2008. ,
Eulerian and semi-Lagrangian methods for convection-diffusion for differential forms, Discrete and Continuous Dynamical Systems, vol.29, issue.4, pp.1471-1495, 2011. ,
DOI : 10.3934/dcds.2011.29.1471
URL : https://hal.archives-ouvertes.fr/hal-01108284
A posteriori error estimates for combined finite volume???finite element discretizations of reactive transport equations on nonmatching grids, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.5-8, pp.5-8597, 2011. ,
DOI : 10.1016/j.cma.2010.08.017
URL : https://hal.archives-ouvertes.fr/hal-00461154
Discrete Hodge operators, Numerische Mathematik, vol.90, issue.2, pp.265-289, 2001. ,
DOI : 10.1007/s002110100295
Finite elements in computational electromagnetism, Acta Numer, vol.11, pp.237-339, 2002. ,
An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation, Mathematics of Computation, vol.46, issue.173, pp.1-26, 1986. ,
DOI : 10.1090/S0025-5718-1986-0815828-4
??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/BF02995904
A technique of upstream type applied to a linear nonconforming finite element approximation of convective diffusion equations, RAIRO. Analyse num??rique, vol.18, issue.3, pp.309-332, 1984. ,
DOI : 10.1051/m2an/1984180303091
Mimetic Spectral Element Advection, 2013. ,
DOI : 10.1007/978-3-319-01601-6_26
Robust numerical methods for singularly perturbed differential equations Convection-diffusion-reaction and flow problems, of Springer Series in Computational Mathematics, 2008. ,
Some realizations of a discrete Hodge operator: a reinterpretation of finite element techniques [for EM field analysis], IEEE Transactions on Magnetics, vol.35, issue.3, pp.1494-1497, 1999. ,
DOI : 10.1109/20.767250
The mathematical structure of classical and relativistic physics. Modeling and Simulation in Science, Engineering and Technology ,