R. A. Adams, Sobolev Spaces, 1975.

P. Angot, V. Dolej?í, M. Feistauer, and J. Felcman, Analysis of a combined barycentric finite volume -nonconforming finite element method for nonlinear convection-diffusion problems, Appl. Math, vol.43, pp.263-310, 1998.

B. Ayuso and L. D. Marini, Discontinuous Galerkin methods for advection-diffusion-reaction problems, SIAM J. Numer. Anal, vol.47, pp.1391-1420, 2009.

G. R. Barrenechea, V. John, and P. Knobloch, A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equation, Math. Model. Numer. Anal, vol.47, pp.1335-1366, 2013.

M. Bej?ek, M. Feistauer, T. Gallouët, J. Hájek, and R. Herbin, Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems, Z. Angew. Math. Mech, vol.87, pp.499-517, 2007.

S. C. Brenner, The Mathematical Theory of Finite Element Methods, 2002.

S. C. Brenner, Poincaré-Friedrichs inequalities for piecewise H 1 -functions, SIAM J. Numer. Anal, vol.41, pp.306-324, 2003.

A. Buffa, T. J. Hughes, and G. Sangalli, Analysis of multiscale discontinuous Galerkin method for convection-diffusion problems, SIAM J. Numer. Anal, vol.44, pp.1420-1440, 2006.

E. Burman and M. A. Fernández, Finite element methods with symmetric stabilization for the transient convection-diffusionreaction equation, Comput. Methods Appl. Mech. Engrg, vol.198, pp.2508-2519, 2009.

P. Causin, R. Sacco, and C. L. Bottasso, Flux-upwind stabilization of the discontinuous Petrov-Galerkin formulation with Lagrangian multipliers for advection-diffusion problems, ESAIM: M2AN, vol.39, pp.1087-1114, 2005.
URL : https://hal.archives-ouvertes.fr/inria-00077044

P. G. Ciarlet, The Finite Element Method for Elliptic Problems, 1979.

P. Deuring, A finite element -finite volume discretization of convection-reaction-diffusion equations with mixed nonhomogeneous boundary conditions: error estimates, Numer. Methods Partial Differ. Equ

P. Deuring and M. Mildner, Error estimates for a finite element -finite volume discretization of convection-diffusion equations, Appl. Numer. Math, vol.61, pp.785-801, 2011.

P. Deuring and M. Mildner, Stability of a combined finite element -finite volume discretization of convection-diffusion equations, Numer. Methods Partial Differ. Equ, vol.28, pp.402-424, 2012.

P. Deuring, R. Eymard, and M. Mildner, L 2 -stability independent of diffusion for a finite element -finite volume discretization of a linear convection-diffusion equation, SIAM J. Numer. Anal, vol.53, pp.508-526, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01060065

A. Devinatz, R. Ellis, and A. Friedman, The asymptotic behavior of the first real eigenvalue of second order elliptic operators with a small parameter in the highest derivative, II. Indiana Univ. Math. J, vol.23, pp.991-1011, 1973.

V. Dolej?í, M. Feistauer, and J. Felcman, On the discrete Friedrichs inequality for non-conforming finite elements, Numer. Funct. Anal. Optim, vol.20, pp.437-447, 1999.

V. Dolej?í, M. Feistauer, J. Felcman, and A. Kliková, Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems, Appl. Math, vol.47, pp.301-340, 2002.

A. Ern and J. Guermond, Theory and Practice of Finite Elements, Appl. Math. Sci, vol.159, 2004.

R. Eymard, T. Gallouët, R. Herbin, and J. Latché, A convergent finite element -finite volume scheme for the compressible Stokes problem. Part II: the isentropic case, Math. Comput, vol.270, pp.649-675, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00359140

R. Eymard, D. Hilhorst, and M. Vohralik, A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems, Numer. Math, vol.105, pp.73-131, 2006.

R. Eymard, D. Hilhorst, and M. Vohralik, A combined finite volume -finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids, Numer. Methods Partial Differ. Equ, vol.26, pp.612-646, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00081711

M. Feistauer, Mathematical Methods in Fluid Dynamics. Pitman Monographs and Surveys in Pure and Applied Mathematics, vol.67, 1993.

M. Feistauer, J. Felcman, M. Luká?ová-medvid, and &. Ová, On the convergence of a combined finite volume -finite element method for nonlinear convection-diffusion problems, Numer. Methods Partial Differ. Equ, vol.13, pp.163-190, 1997.

M. Feistauer, J. Felcman, M. Luká?ová-medvid'ová, and G. Warnecke, Error estimates for a combined finite volume -finite element method for nonlinear convection-diffusion problems, SIAM J. Math. Anal, vol.36, pp.1528-1548, 1999.

M. Feistauer, J. Felcman, and I. Stra?kraba, Mathematical and Computational Methods for Compressible Flow, 2003.

M. Feistauer, V. Ku?era, K. Najzan, and J. Prokopová, Analysis of a space-time discontinuous Galerkin method for nonlinear convection-diffusion problems, Numer. Math, vol.117, pp.251-288, 2011.

M. Feistauer, J. Slavík, and P. Stupka, On the convergence of a combined finite volume -finite element method for nonlinear convection-diffusion problems. Explicit schemes, Numer. Methods Partial Differ. Equ, vol.15, pp.215-235, 1999.

S. Fu?ík, O. John, and A. Kufner, Function Spaces. Noordhoff, 1977.

T. Gallouët, R. Herbin, and J. Latché, A convergent finite element -finite volume scheme for the compressible Stokes problem. Part I: the isothermal case, Math. Comput, vol.267, pp.1333-1352, 2009.

V. Girault and P. Raviart, Finite Element Methods for Navier-Stokes Equations, 1986.

P. Grisvard, Elliptic Problems in Nonsmooth Domains, 1985.

L. Hallo, C. L. Ribault, and M. Buffat, An implicit mixed finite-volume-finite-element method for solving 3D turbulent compressible flows, Int. J. Numer. Meth. Fluids, vol.25, pp.1241-1261, 1997.

P. Hsieh and S. Yang, On efficient least-squares finite element methods for convection-dominated problems, Comput. Methods Appl. Mech. Engrg, vol.199, pp.183-196, 2009.

A. Jonsson and H. Wallin, Function Spaces on Subsets of R n, 1984.

N. Kikuchi and J. T. Oden, Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods. SIAM, 1988.

P. Knobloch, Uniform validity of discrete Friedrich's inequality for general nonconforming finite element spaces, Numer. Funct. Anal. Optimiz, vol.22, pp.107-126, 2001.

R. C. Toledo and V. Ruas, Numerical analysis of a least-squares finite element method for the time-dependent advectiondiffusion equation, J. Comp. Appl. Math, vol.235, pp.3615-3631, 2011.

Z. Li, Convergence analysis of an upwind mixed element method for advection diffusion problems, Appl. Math. Comput, vol.212, pp.318-326, 2009.

A. S. Mounim, A stabilized finite element method for convection-diffusion problems, Numer. Methods Partial Differ. Equ, vol.28, pp.1916-1943, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01716019

K. Ohmori and T. Ushijima, A technique of upstream type applied to a linear nonconforming finite element approximation of convective diffusion equations, RAIRO Modél. Math. Anal. Numér, vol.18, pp.309-332, 1984.

A. Quarteroni and A. Valli, Numerical Approximation of Partial Differential Equations. Springer Series in Computational Mathematics 23, 1994.

Y. Ren, A. Cheng, and H. Wang, A uniformly optimal-order estimate for finite volume method for advection-diffusion equation, Numer. Methods Partial Differ. Equ, vol.30, pp.17-43, 2014.

H. Roos, M. Stynes, and L. Tobiska, Robust Numerical Methods for Singularly Perturbed Differential Equations, 2008.

H. L. Royden, Real Analysis, 1968.

R. Temam, Navier-Stokes Equations, 1977.

H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, 1978.

R. Verfürth, Robust a posteriori error estimates for steady convection-diffusion equations, SIAM J. Numer. Anal, vol.43, pp.1766-1782, 2005.

R. Verfürth, Robust a posteriori error estimates for unsteady convection-diffusion equations, SIAM J. Numer. Anal, vol.43, pp.1783-1802, 2005.

M. Vlasák, V. Dolej?í, and J. Hájek, A priori error estimates of an extrapolated space-time discontinuous Galerkin method for nonlinear convection-diffusion problems, Numer. Methods Partial Differ. Equ, vol.27, pp.1456-1482, 2011.

M. Vohralík, On the discrete Poincaré-Friedrichs inequalities for nonconforming approximations of the Sobolev space H 1, Numer. Funct. Anal. Optimiz, vol.26, pp.925-952, 2005.

J. Wloka, Partial Differential Equations, 1987.