, Sobolev spaces Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], Pure and Applied Mathematics, vol.65, 1975.
, The finite element method with Lagrangian multipliers, Numerische Mathematik, vol.12, issue.3, pp.179-19273, 1972.
DOI : 10.1090/trans2/057/08
, Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems, SIAM Journal on Numerical Analysis, vol.47, issue.3, pp.1971-2000, 2009.
DOI : 10.1137/08072632X
, Penalty-free Nitsche method for interface problems in computational mechanics, 2016.
, A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity, IMA Journal of Numerical Analysis, vol.20, issue.2, pp.770-795, 2016.
DOI : 10.1090/S0025-5718-1990-1011446-7
, The mathematical theory of finite element methods, Texts in Applied Mathematics, vol.15, 2008.
, On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers, Revue fran??aise d'automatique, informatique, recherche op??rationnelle. Analyse num??rique, vol.8, issue.R2, pp.129-151, 1974.
DOI : 10.1016/0029-5493(73)90006-X
, On the Stabilization of Finite Element Approximations of the Stokes Equations, Efficient solutions of elliptic systems, pp.11-19, 1984.
DOI : 10.1007/978-3-663-14169-3_2
, Mixed and hybrid finite element methods, of Springer Series in Computational Mathematics, 1991.
DOI : 10.1007/978-1-4612-3172-1
, A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. Flow, Turbulence and Combustion, p.27, 1949.
, A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions, SIAM Journal on Numerical Analysis, vol.50, issue.4, pp.1959-1981, 2012.
DOI : 10.1137/10081784X
, A unified stabilized method for Stokes??? and Darcy's equations, Journal of Computational and Applied Mathematics, vol.198, issue.1, pp.35-51, 2007.
DOI : 10.1016/j.cam.2005.11.022
, The finite element method for elliptic problems, #25001)], p.520174, 1958.
, Approximation by finite element functions using local regularization, Rev. Française Automat. Informat. Recherche Opérationnelle Sér, vol.9, issue.2, pp.77-84, 1975.
, Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport, ESAIM Math. Model. Numer. Anal, vol.45, issue.3, pp.447-476, 2011.
, An absolutely stabilized finite element method for the Stokes problem, Mathematics of Computation, vol.52, issue.186, pp.495-508, 1989.
DOI : 10.1090/S0025-5718-1989-0958871-X
, Theory and practice of finite elements, Applied Mathematical Sciences, vol.159, 2004.
DOI : 10.1007/978-1-4757-4355-5
, Two classes of mixed finite element methods, Comput. Methods Appl. Mech. Engrg, vol.69, issue.1, pp.89-129, 1988.
, On weakly imposed boundary conditions for second order problems, Proceedings of the international Conference on Finite Elements in Fluids -New trends and applications, 1995.
, Finite element methods for Navier-Stokes equations Theory and algorithms, of Springer Series in Computational Mathematics, 1986.
, Computations with finite element methods for the Brinkman problem, Computational Geosciences, vol.54, issue.3, pp.155-166, 2011.
DOI : 10.1016/j.crma.2009.03.010
, Weakly imposed Dirichlet boundary conditions for the Brinkman model of porous media flow, Applied Numerical Mathematics, vol.59, issue.6, pp.1274-1289, 2009.
DOI : 10.1016/j.apnum.2008.07.003
, A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: symmetric formulations that converge for all velocity/pressure spaces, Comput. Methods Appl. Mech. Engrg, vol.65, issue.1, pp.85-96, 1987.
, On the parameter choice in grad-div stabilization for the Stokes equations, Advances in Computational Mathematics, vol.26, issue.3, pp.491-516, 2014.
DOI : 10.1090/S0025-5718-04-01711-9
, Nitsche???s method for general boundary conditions, Mathematics of Computation, vol.78, issue.267, pp.1353-1374, 2009.
DOI : 10.1090/S0025-5718-08-02183-2
, Analysis of finite element methods for the Brinkman problem, Calcolo, vol.18, issue.1???3, pp.129-147, 2010.
DOI : 10.1016/j.crma.2009.03.010
, A Robust Finite Element Method for Darcy--Stokes Flow, SIAM Journal on Numerical Analysis, vol.40, issue.5, pp.1605-1631, 2002.
DOI : 10.1137/S0036142901383910
, A stabilized mixed finite element method for Darcy flow, 29] J. Nitsche. ¨ Uber ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind, pp.39-404341, 1971.
DOI : 10.1016/S0045-7825(02)00371-7
, Finite element interpolation of nonsmooth functions satisfying boundary conditions, Math. Comp, vol.54, issue.190, pp.483-493, 1990.
, On some techniques for approximating boundary conditions in the finite element method, International Symposium on Mathematical Modelling and Computational Methods Modelling 94, pp.139-148, 1994.
DOI : 10.1016/0377-0427(95)00057-7
, Galerkin finite element methods for parabolic problems, 2006.
DOI : 10.1007/978-3-662-03359-3
, ParMooN???A modernized program package based on mapped finite elements, Computers & Mathematics with Applications, vol.74, issue.1, pp.74-88, 2017.
DOI : 10.1016/j.camwa.2016.12.020
URL : http://arxiv.org/pdf/1705.08784