M. Abbas, A. Ern, and N. Pignet, A Hybrid High-Order method for incremental associative plasticity with small deformations, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01768411

M. Abbas, A. Ern, and N. Pignet, Hybrid High-Order methods for finite deformations of hyperelastic materials, Comput. Mech, vol.62, issue.4, pp.909-928, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01575370

P. Alart, Méthode de Newton généralisée en mécanique du contact, J. Math. Pures Appl, vol.76, issue.9, pp.83-108, 1997.

Y. Alnashri and J. Droniou, Gradient schemes for the signorini and the obstacle problems, and application to hybrid mimetic mixed methods, Computers and Mathematics with Applications, vol.72, issue.11, pp.2788-2807, 2016.

J. Andersson, Optimal regularity and free boundary regularity for the Signorini problem, Algebra i Analiz, vol.24, issue.3, pp.1-21, 2012.

C. Annavarapu, R. R. Settgast, S. M. Johnson, P. Fu, and E. B. Herbold, A weighted Nitsche stabilized method for small-sliding contact on frictional surfaces, Comput. Methods Appl. Mech. Engrg, vol.283, pp.763-781, 2015.

B. Ayuso-de-dios, K. Lipnikov, and G. Manzini, The nonconforming virtual element method, ESAIM: Math. Model. Numer. Anal. (M2AN), vol.50, issue.3, pp.879-904, 2016.

N. J. Balmforth, I. A. Frignard, and G. Ovarlez, Yielding to stress: recent developments in viscoplastic fluid mechanics, Annu. Rev. Fluid. Mech, vol.46, pp.121-146, 2016.
URL : https://hal.archives-ouvertes.fr/hal-00973814

F. Bassi, L. Botti, A. Colombo, D. A. Di-pietro, and P. Tesini, On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations, J. Comput. Phys, vol.231, issue.1, pp.45-65, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00562219

F. Bassi, L. Botti, A. Colombo, and S. Rebay, Agglomeration based discontinuous Galerkin discretization of the Euler and Navier-Stokes equations, Comput. & Fluids, vol.61, pp.77-85, 2012.

Z. Belhachmi and F. B. Belgacem, Quadratic finite element approximation of the Signorini problem, Math. Comp, vol.72, issue.241, pp.83-104, 2003.

F. , B. Belgacem, and Y. Renard, Hybrid finite element methods for the Signorini problem, Math. Comp, vol.72, issue.243, pp.1117-1145, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00690588

M. Bercovier and M. Engelman, A finite element method for incompressible nonNewtonian flows, J. Comput. Phys, vol.36, issue.3, pp.313-326, 1980.

E. C. Bingham, Fluidity and plasticity, 1922.

J. Bleyer, Advances in the simulation of viscoplastic fluid flows using interior-point methods, Comput. Methods Appl. Mech. Engrg, vol.330, pp.368-394, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01672045

J. Bleyer, M. Maillard, P. De-buhan, and P. Coussot, Efficient numerical computations of yield stress fluid flows using second-order cone programming, Comput. Methods Appl. Mech. Engrg, vol.283, pp.599-614, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01081508

T. Boiveau and E. Burman, A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity, IMA J. Numer. Anal, vol.36, issue.2, pp.770-795, 2016.

J. Bonelle and A. Ern, Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes, ESAIM Math. Model. Numer. Anal, vol.48, issue.2, pp.553-581, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00751284

M. Botti, D. D. Pietro, and P. Sochala, A Hybrid High-Order method for nonlinear elasticity, SIAM J. Numer. Anal, vol.55, issue.6, pp.2687-2717, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01539510

H. Brezis, Équations et inéquations non linéaires dans les espaces vectoriels en dualité, Ann. Inst. Fourier (Grenoble), vol.18, issue.1, pp.115-175, 1968.

F. Brezzi, K. Lipnikov, and M. Shashkov, Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes, SIAM J. Numer. Anal, vol.43, issue.5, pp.1872-1896, 2005.

E. Burman, A penalty-free nonsymmetric Nitsche-type method for the weak imposition of boundary conditions, SIAM J. Numer. Anal, vol.50, issue.4, pp.1959-1981, 2012.

E. Burman and A. Ern, A nonlinear consistent penalty method weakly enforcing positivity in the finite element approximation of the transport equation, Comput. Methods Appl. Mech. Engrg, vol.320, pp.122-132, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01383295

E. Burman and A. Ern, An unfitted Hybrid High-Order method for elliptic interface problems, SIAM J. Numer. Anal, vol.56, issue.3, pp.1525-1546, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01625421

E. Burman, M. A. Fernández, and S. Frei, A Nitsche-based formulation for fluid-structure interactions with contact, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01784841

E. Burman and P. Hansbo, Deriving robust unfitted finite element methods from augmented Lagrangian formulations, Geometrically unfitted finite element methods and applications, vol.121, pp.1-24, 2017.

E. Burman, P. Hansbo, and M. G. Larson, A stabilized cut finite element method for partial differential equations on surfaces: the Laplace-Beltrami operator, Comput. Methods Appl. Mech. Engrg, vol.285, pp.188-207, 2015.

E. Burman, P. Hansbo, and M. G. Larson, Augmented Lagrangian finite element methods for contact problems, 2016.

E. Burman, P. Hansbo, and M. G. Larson, The penalty-free Nitsche method and nonconforming finite elements for the Signorini problem, SIAM J. Numer. Anal, vol.55, issue.6, pp.2523-2539, 2017.

E. Burman, P. Hansbo, M. G. Larson, and R. Stenberg, Galerkin least squares finite element method for the obstacle problem, Comput. Meth. Appl. Mech. Engrg, vol.313, pp.362-374, 2017.

A. Cangiani, E. H. Georgoulis, and P. Houston, hp-version discontinuous Galerkin methods on polygonal and polyhedral meshes, vol.24, pp.2009-2041, 2014.

I. Cantat, S. Cohen-addad, F. Elias, F. Graner, R. Hohler et al., Foams: Structure and Dynamics, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01390071

K. L. Cascavita, J. Bleyer, X. Chateau, and A. Ern, Hybrid discretization methods for the simulation of Bingham fluid flows

K. L. Cascavita, J. Bleyer, X. Chateau, and A. Ern, Hybrid Discretization Methods with Adaptive Yield Surface Detection for Bingham Pipe Flows, J. Sci. Comput, vol.77, issue.3, pp.1424-1443, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01698983

K. L. Cascavita, F. Chouly, and A. Ern, Hybrid high-order discretizations combined with Nitsche's method for contact dirichlet and signorini boundary conditions

F. Chouly, An adaptation of Nitsche's method to Tresca friction problem, J. Math. Anal. Appl, vol.411, issue.1, pp.329-339, 2014.

F. Chouly, M. Fabre, P. Hild, R. Mlika, R. Pousin et al., An overview of recent results on Nitsche's method for contact problems, Geometrically unfitted finite element methods and applications, vol.121, pp.93-141, 2017.

F. Chouly, M. Fabre, P. Hild, R. Pousin, and Y. Renard, Residual-based a posteriori error estimation for contact problems approximated by Nitsche's method, IMA J. Numer. Anal, vol.38, issue.2, pp.921-954, 2018.

F. Chouly and P. Hild, A Nitsche-based method for unilateral contact problems: numerical analysis, SIAM J. Numer. Anal, vol.51, issue.2, pp.1295-1307, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00717711

F. Chouly and P. Hild, On convergence of the penalty method for unilateral contact problems, Appl. Numer. Math, vol.65, pp.27-40, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00999764

F. Chouly, P. Hild, V. Lleras, and Y. Renard, Nitsche-based finite element method for contact with Coulomb friction, Proceedings of the European Conference on Numerical Mathematics and Advanced Applications ENUMATH, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01654487

F. Chouly, P. Hild, and Y. Renard, A Nitsche finite element method for dynamic contact: 1. Space semi-discretization and time-marching schemes, ESAIM Math. Model. Numer. Anal, vol.49, issue.2, pp.481-502, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00958695

F. Chouly, P. Hild, and Y. Renard, A Nitsche finite element method for dynamic contact: 2. Stability of the schemes and numerical experiments, ESAIM Math. Model. Numer. Anal, vol.49, issue.2, pp.503-528, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00958710

F. Chouly, P. Hild, and Y. Renard, Symmetric and non-symmetric variants of Nitsche's method for contact problems in elasticity: theory and numerical experiments, Math. Comp, vol.84, issue.293, pp.1089-1112, 2015.

F. Chouly, R. Mlika, and Y. Renard, An unbiased Nitsche's approximation of the frictional contact between two elastic structures, Numer. Math, vol.139, issue.3, pp.593-631, 2018.

F. Chouly and Y. Renard, Explicit Verlet time-integration for a Nitsche-based approximation of elastodynamic contact problems. hal-01814774
URL : https://hal.archives-ouvertes.fr/hal-01814774

F. Chouly, M. Fabre, P. Hild, and R. Mlika, Jérôme Pousin, and Yves Renard. An overview of recent results on nitsche's method for contact problems, Geometrically Unfitted Finite Element Methods and Applications, pp.93-141, 2017.

P. Ciarlet, The finite element method for elliptic problems, volume II of Handbook of Numerical Analysis, 1991.

M. Cicuttin, D. D. Pietro, and A. Ern, Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming, J. Comput. Appl. Math, vol.344, pp.852-874, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01429292

B. Cockburn, D. A. Di-pietro, and A. Ern, Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods, ESAIM Math. Model. Numer. Anal, vol.50, issue.3, pp.635-650, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01115318

B. Cockburn, J. Gopalakrishnan, and R. Lazarov, Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems, SIAM J. Numer. Anal, vol.47, issue.2, pp.1319-1365, 2009.

P. Coussot, Bingham's heritage, Rheol. Acta, vol.6, pp.163-176, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01784850

A. Curnier and P. Alart, A generalized Newton method for contact problems with friction, J. Méc. Théor. Appl, vol.7, pp.67-82, 1988.
URL : https://hal.archives-ouvertes.fr/hal-01433772

E. J. Dean, R. Glowinski, and G. Guidoboni, On the numerical simulation of Bingham visco-plastic flow: Old and new results, J. Non-Newton. Fluid Mech, vol.142, issue.1, pp.36-62, 2007.

D. , D. Pietro, and J. Droniou, A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes, Math. Comp, vol.86, issue.307, pp.2159-2191, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01183484

D. D. Pietro, J. Droniou, and A. Ern, A discontinuous-skeletal method for advectiondiffusion-reaction on general meshes, SIAM J. Numer. Anal, vol.53, issue.5, pp.2135-2157, 2015.

D. , D. Pietro, and A. Ern, Mathematical aspects of discontinuous Galerkin methods, Mathématiques & Applications, vol.69
URL : https://hal.archives-ouvertes.fr/hal-01820185

. Springer, , 2012.

D. , D. Pietro, and A. Ern, A Hybrid High-Order locking-free method for linear elasticity on general meshes, Comput. Methods Appl. Mech. Engrg, vol.283, pp.1-21, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00979435

D. D. Pietro, A. Ern, and S. Lemaire, An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators, Comput. Methods Appl. Math, vol.14, issue.4, pp.461-472, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00978198

D. D. Pietro, A. Ern, A. Linke, and F. Schieweck, A discontinuous skeletal method for the viscosity-dependent Stokes problem, Comput. Methods Appl. Mech. Engrg, vol.306, pp.175-195, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01244387

D. A. Di-pietro, A. Ern, and S. Lemaire, An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators, Comput. Methods Appl. Math, vol.14, issue.4, pp.461-472, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00978198

D. A. Di-pietro and S. Krell, A Hybrid High-Order method for the steady incompressible Navier-Stokes problem, J. Sci. Comput, vol.74, issue.3, pp.1677-1705, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01349519

J. Droniou, R. Eymard, T. Gallouët, and R. Herbin, A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods, Math. Models Methods Appl. Sci, vol.20, issue.2, pp.265-295, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00346077

G. Drouet and P. Hild, Optimal convergence for discrete variational inequalities modelling Signorini contact in 2D and 3D without additional assumptions on the unknown contact set, SIAM J. Numer. Anal, vol.53, issue.3, pp.1488-1507, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01969534

G. Duvaut and J. Lions, Inequalities in mechanics and physics, Grundlehren der Mathematischen Wissenschaften, p.219, 1976.

A. Ern and M. Vohralík, Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations, SIAM J. Numer. Anal, vol.53, issue.2, pp.1058-1081, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00921583

A. Ern and J. Guermond, 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

R. Eymard, T. Gallouët, and R. Herbin, Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces, IMA J. Numer. Anal, vol.30, issue.4, pp.1009-1043, 2010.

R. Eymard, T. Gallouët, and R. Herbin, Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes. SUSHI: a scheme using stabilization and hybrid interfaces, IMA J. Numer. Anal, vol.30, issue.4, pp.1009-1043, 2010.

M. Fabre, J. Pousin, and Y. Renard, A fictitious domain method for frictionless contact problems in elasticity using Nitsche's method. SMAI, J. Comput. Math, vol.2, pp.19-50, 2016.

M. Fortin and R. Glowinski, Applications to the numerical solution of boundary value problems, Studies in Mathematics and its Applications, vol.15, 1983.

D. Fraggedakis, Y. Dimakopoulos, and J. Tsamopoulos, Yielding the yield stress analysis: a thorough comparison of recently proposed elasto-visco-plastic (EVP) fluid models, J. Non-Newton. Fluid Mech, vol.236, pp.104-122, 2016.

M. Fuchs and G. Seregin, Variational methods for problems from plasticity theory and for generalized Newtonian fluids, Lecture Notes in Mathematics, vol.1749, 2000.

D. Gabay and B. Mercier, A dual algorithm for the solution of nonlinear variational problems via finite element approximations, Comput. Math. Appl, vol.2, pp.17-40, 1976.

R. Glowinski, Numerical methods for nonlinear variational problems, Springer Series in Computational Physics, 1984.

R. Glowinski and P. L. Tallec, Augmented Lagrangian and operator-splitting methods in nonlinear mechanics, SIAM Studies in Applied Mathematics. Society for Industrial and Applied Mathematics (SIAM), vol.9, 1989.

R. Glowinski, J. Lions, and R. Trémolières, Numerical analysis of variational inequalities, Studies in Mathematics and its Applications, vol.8, 1981.

R. Glowinski and A. Marrocco, Sur l'approximation, par éléments finis d'ordre un, et la résolution, par pénalisation-dualité, d'une classe de problèmes de Dirichlet non linéaires, Rev. Française Automat. Informat. Recherche Opérationnelle Sér. Rouge Anal. Numér, vol.9, issue.2, pp.41-76, 1975.

R. Glowinski, Numerical methods for nonlinear variational problems. Scientific Computation, 2008.

T. Gustafsson, R. Stenberg, and J. Videman, Nitsche's method for unilateral contact problems, 2018.

W. Han and M. Sofonea, Quasistatic contact problems in viscoelasticity and viscoplasticity, AMS/IP Studies in Advanced Mathematics. American Mathematical Society, vol.30, 2002.

P. Hansbo, A. Rashid, and K. Salomonsson, Least-squares stabilized augmented Lagrangian multiplier method for elastic contact, Finite Elem. Anal. Des, vol.116, pp.32-37, 2016.

P. Hansbo, Nitsche's method for interface problems in computational mechanics, vol.28, pp.183-206, 2005.

J. Haslinger, Finite element analysis for unilateral problems with obstacles on the boundary, Apl. Mat, vol.22, issue.3, pp.180-188, 1977.

J. Haslinger, I. Hlavá?ek, and J. Ne?as, Numerical methods for unilateral problems in solid mechanics, volume IV of Handbook of Numerical Analysis, 1996.

B. He and X. Yuan, On non-ergodic convergence rate of Douglas-Rachford alternating direction method of multipliers, Numer. Math, vol.130, issue.3, pp.567-577, 2015.

R. Herbin and E. Marchand, Finite volume approximation of a class of variational inequalities, IMA Journal of Numerical Analysis, vol.21, issue.2, pp.553-585, 2001.

M. R. Hestenes, Multiplier and gradient methods, J. Optimization Theory Appl, vol.4, pp.303-320, 1969.

P. Hild, Numerical implementation of two nonconforming finite element methods for unilateral contact, Comput. Methods Appl. Mech. Engrg, vol.184, issue.1, pp.99-123, 2000.
URL : https://hal.archives-ouvertes.fr/hal-01390457

P. Hild and Y. Renard, A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics, Numer. Math, vol.115, issue.1, pp.101-129, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00464274

P. Hild and Y. Renard, An improved a priori error analysis for finite element approximations of Signorini's problem, SIAM J. Numer. Anal, vol.50, issue.5, pp.2400-2419, 2012.

S. Hüeber and B. I. Wohlmuth, An optimal a priori error estimate for nonlinear multibody contact problems, SIAM J. Numer. Anal, vol.43, issue.1, pp.156-173, 2005.

N. Kikuchi and J. T. Oden, Contact problems in elasticity: a study of variational inequalities and finite element methods, SIAM Studies in Applied Mathematics. Society for Industrial and Applied Mathematics (SIAM), vol.8, 1988.

D. Kinderlehrer, Remarks about Signorini's problem in linear elasticity, Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.8, issue.4, pp.605-645, 1981.

M. Kogan, L. Ducloué, J. Goyon, X. Chateau, O. Pitois et al., Mixtures of foam and paste: suspensions of bubbles in yield stress fluids, Rheologica Acta, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00803181

K. Kunisch and G. Stadler, Generalized Newton methods for the 2D-Signorini contact problem with friction in function space, M2AN Math. Model. Numer. Anal, vol.39, issue.4, pp.827-854, 2005.
URL : https://hal.archives-ouvertes.fr/hal-01371379

Y. Kuznetsov, K. Lipnikov, and M. Shashkov, The mimetic finite difference method on polygonal meshes for diffusion-type problems, Comput. Geosci, vol.8, issue.4, pp.301-324, 2004.
DOI : 10.1007/s10596-004-3771-1

P. Laborde and Y. Renard, Fixed point strategies for elastostatic frictional contact problems, Math. Methods Appl. Sci, vol.31, issue.4, pp.415-441, 2008.
DOI : 10.1002/mma.921
URL : https://hal.archives-ouvertes.fr/hal-01330376

J. Latché and D. Vola, Analysis of the Brezzi-Pitkäranta stabilized Galerkin scheme for creeping flows of Bingham fluids, SIAM J. Numer. Anal, vol.42, issue.3, pp.1208-1225, 2004.

T. A. Laursen, Computational contact and impact mechanics, 2002.
DOI : 10.1007/978-3-662-04864-1

C. Lehrenfeld, Hybrid Discontinuous Galerkin methods for solving incompressible flow problems, 2010.

J. Li and Y. Y. Renardy, Shear-induced rupturing of a viscous drop in a bingham liquid, Journal of Non-Newtonian Fluid Mechanics, vol.95, issue.2, pp.235-251, 2000.

J. Lions and S. Guido, Variational inequalities, Communications on Pure and Applied Mathematics, vol.20, issue.3, pp.493-519, 1967.

R. Mlika, Y. Renard, and F. Chouly, An unbiased Nitsche's formulation of large deformation frictional contact and self-contact, Comput. Methods Appl. Mech. Engrg, vol.325, pp.265-288, 2017.
DOI : 10.1016/j.cma.2017.07.015
URL : https://hal.archives-ouvertes.fr/hal-01427872/file/Article_Nitsche_MLIKA_revised.pdf

P. P. Mosolov and V. P. Miasnikov, Variational methods in the theory of the fluidity of a viscous-plastic medium, J. Appl. Math. Mech, vol.29, issue.3, pp.545-577, 1965.

P. P. Mosolov and V. P. Miasnikov, On stagnant flow regions of a viscous-plastic medium in pipes, J. Appl. Math. Mech, vol.30, issue.4, pp.841-854, 1966.

P. P. Mosolov and V. P. Miasnikov, On qualitative singularities of the flow of a viscoplastic medium in pipes, J. Appl. Math. Mech, vol.31, issue.3, pp.609-613, 1967.

M. Moussaoui and K. Khodja, Régularité des solutions d'un problème mêlé Dirichlet-Signorini dans un domaine polygonal plan, Comm. Partial Differential Equations, vol.17, issue.5-6, pp.805-826, 1992.

J. Nitsche, Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind, Collection of articles dedicated to Lothar Collatz on his sixtieth birthday, vol.36, pp.9-15, 1971.

I. Oikawa, A hybridized discontinuous Galerkin method with reduced stabilization, J. Sci. Comput, 2014.

J. G. Oldroyd, A rational formulation of the equations of plastic flow for a Bingham solid, Proc. Cambridge Philos. Soc, vol.43, pp.100-105, 1947.

G. Ovarlez, F. Mahaut, F. Bertrand, and X. Chateau, Flows and heterogeneities with a vane tool: Magnetic resonance imaging measurements, Journal of rheology, vol.55, pp.197-223, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00507429

T. C. Papanastasiou, Flows of materials with yield, J. Rheol, vol.31, issue.5, pp.385-404, 1987.

M. J. Powell, A method for nonlinear constraints in minimization problems, Optimization (Sympos., Univ. Keele, pp.283-298, 1968.

Y. Renard, Generalized Newton's methods for the approximation and resolution of frictional contact problems in elasticity, Comput. Methods Appl. Mech. Engrg, vol.256, pp.38-55, 2012.

N. Roquet and P. Saramito, An adaptive finite element method for Bingham fluid flows around a cylinder, Comput. Methods Appl. Mech. Engrg, vol.192, pp.3317-3341, 2003.

P. Saramito and N. Roquet, An adaptive finite element method for viscoplastic fluid flows in pipes, Comput. Methods Appl. Mech. Engrg, vol.190, issue.40, pp.5391-5412, 2001.

P. Saramito and A. Wachs, Progress in numerical simulation of yield stress fluid flows, Rheol. Acta, vol.56, issue.3, pp.211-230, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01375720

F. Scarpini and M. Vivaldi, Error estimates for the approximation of some unilateral problems, RAIRO Anal. Numér, vol.11, issue.2, pp.197-208, 1977.

A. Seitz, W. A. Wall, and A. Popp, Nitsche's method for finite deformation thermomechanical contact problems, Computational Mechanics, 2018.

A. Signorini, Atti della Societa per il Progresso della Scienza, 1933.

R. Stenberg, On some techniques for approximating boundary conditions in the finite element method, J. Comput. Appl. Math, vol.63, issue.1-3, pp.139-148, 1995.

P. Szabo and O. Hassager, Flow of viscoplastic fluids in eccentric annular geometries, J. Non-Newton. Fluid Mech, vol.45, pp.149-169, 1992.

T. Treskatis, M. A. Moyers-gonzález, and C. J. Price, An accelerated dual proximal gradient method for applications in viscoplasticity, J. Non-Newton. Fluid Mech, vol.238, pp.115-130, 2016.

R. Verfürth, A posteriori error estimation techniques for finite element methods, 2013.

A. Wachs, Numerical simulaiton of steady Bingham flow through an eccentric annular cross-section by distributed Lagrange multiplier/fictitious domain and augmented Lagrangian methods, J. Non-Newton. Fluid Mech, vol.142, pp.183-198, 2007.

Y. Wang, Tracking of the yield surfaces of laminar viscoplastic flows in noncircular ducts using an adaptive scheme, Proc. Nat. Sci. Counc. ROC(A), vol.23, issue.2, pp.311-318, 1999.

B. Wohlmuth, Variationally consistent discretization schemes and numerical algorithms for contact problems, Acta Numer, vol.20, pp.569-734, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01382364

P. Wriggers, Computational Contact Mechanics, 2002.

P. Wriggers, W. T. Rust, and B. D. Reddy, A virtual element method for contact, Comput. Mech, vol.58, issue.6, pp.1039-1050, 2016.

J. Zhang, An augmented Lagrangian approach to simulating yield stress fluid flows around a spherical gas bubble, Internat. J. Numer. Methods Fluids, vol.69, issue.3, pp.731-746, 2012.