On the Adaptive Selection of the Parameter in Stabilized Finite Element Approximations, SIAM Journal on Numerical Analysis, vol.51, issue.3, pp.3-1585, 2013. ,
DOI : 10.1137/110837796
A Posteriori Error Estimators for the Stokes and Oseen Equations, SIAM Journal on Numerical Analysis, vol.34, issue.1, pp.228-245, 1997. ,
DOI : 10.1137/S0036142994264092
On a posteriori error bounds for approximations of the generalized Stokes problem generated by the Uzawa algorithm, Russian Journal of Numerical Analysis and Mathematical Modelling, vol.27, issue.4, pp.321-338, 2012. ,
DOI : 10.1016/j.apnum.2004.09.005
Interplay between discretization and algebraic computation in adaptive numerical solutionof elliptic PDE problems, GAMM-Mitteilungen, vol.36, issue.1, pp.102-129, 2013. ,
DOI : 10.1002/nme.1620240206
A stable finite element for the stokes equations, Calcolo, vol.21, issue.4, pp.337-344, 1984. ,
DOI : 10.1007/BF02576171
Studies in linear and non-linear programming. With contributions by H, Stanford Mathematical Studies in the Social Sciences, 1958. ,
A Unified Approach for Uzawa Algorithms, SIAM Journal on Numerical Analysis, vol.44, issue.6, pp.2633-2649, 2006. ,
DOI : 10.1137/050630714
URL : https://hal.archives-ouvertes.fr/hal-01382197
A Posteriori Error Estimates for the Stokes Problem, SIAM Journal on Numerical Analysis, vol.28, issue.3, pp.3-591, 1991. ,
DOI : 10.1137/0728033
An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition, SIAM Journal on Numerical Analysis, vol.40, issue.4, pp.1207-1229, 2002. ,
DOI : 10.1137/S0036142901392134
An adaptive finite element method for the Stokes equations including control of the iteration error, In ENUMATH World Sci. Publ., River Edge NJ, vol.97, pp.609-620, 1998. ,
Adapative Fehlerkontrolle f??r Finite-Elemente-Mehrgitter-Methoden, Computing, vol.54, issue.4, pp.271-288, 1995. ,
DOI : 10.1007/978-3-662-02427-0
Error estimates for finite element method solution of the Stokes problem in the primitive variables, Numerische Mathematik, vol.65, issue.2, pp.211-224, 1979. ,
DOI : 10.1007/BF01399555
Mixed finite element methods and applications, of Springer Series in Computational Mathematics, 2013. ,
DOI : 10.1007/978-3-642-36519-5
Equilibrated residual error estimates are p-robust, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.13-14, pp.13-14, 2009. ,
DOI : 10.1016/j.cma.2008.12.010
URL : http://www.risc.uni-linz.ac.at/publications/download/risc_3414/ho_equilibrated.pdf
Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems, SIAM Journal on Numerical Analysis, vol.34, issue.3, pp.3-1072, 1997. ,
DOI : 10.1137/S0036142994273343
Stabilized mixed methods for the Stokes problem, Numerische Mathematik, vol.36, issue.1-2, pp.1-2, 1988. ,
DOI : 10.1007/BF01395886
Stability of Higher-Order Hood???Taylor Methods, SIAM Journal on Numerical Analysis, vol.28, issue.3, pp.3-581, 1991. ,
DOI : 10.1137/0728032
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
A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems, Mathematics of Computation, vol.70, issue.236, pp.236-1353, 2001. ,
DOI : 10.1090/S0025-5718-00-01264-3
An Inexact Uzawa-Type Iterative Method For Solving Saddle Point Problems, International Journal of Computer Mathematics, vol.4, issue.1, pp.55-64, 2003. ,
DOI : 10.1093/imanum/4.4.441
Explicit error bounds in a conforming finite element method, Mathematics of Computation, vol.68, issue.228, pp.1379-1396, 1999. ,
DOI : 10.1090/S0025-5718-99-01093-5
On the LBB condition in the numerical analysis of the Stokes equations, Applied Numerical Mathematics, vol.54, issue.3-4, pp.3-4, 2005. ,
DOI : 10.1016/j.apnum.2004.09.005
A stabilized finite element method for the Stokes problem based on polynomial pressure projections, International Journal for Numerical Methods in Fluids, vol.46, issue.2, pp.183-201, 2004. ,
DOI : 10.1002/fld.752
$hp$-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems, SIAM Journal on Scientific Computing, vol.38, issue.5, pp.5-3220, 2016. ,
DOI : 10.1137/15M1026687
Reliable a posteriori error control for nonconformal finite element approximation of Stokes flow, Math. Comp, vol.74, pp.252-1599, 2005. ,
An absolutely stabilized finite element method for the Stokes problem, Mathematics of Computation, vol.52, issue.186, pp.186-495, 1989. ,
DOI : 10.1090/S0025-5718-1989-0958871-X
Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems, SIAM Journal on Numerical Analysis, vol.31, issue.6, pp.1645-1661, 1994. ,
DOI : 10.1137/0731085
URL : http://www.cs.umd.edu/~elman/papers/inexact-uzawa.pdf
Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics, Numerical Mathematics and Scientific Computation, 2014. ,
DOI : 10.1093/acprof:oso/9780199678792.001.0001
Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs, SIAM Journal on Scientific Computing, vol.35, issue.4, pp.1761-1791, 2013. ,
DOI : 10.1137/120896918
URL : https://hal.archives-ouvertes.fr/hal-00681422
Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations, SIAM Journal on Numerical Analysis, vol.53, issue.2, pp.1058-1081, 2015. ,
DOI : 10.1137/130950100
URL : https://hal.archives-ouvertes.fr/hal-00921583
Stable broken H 1 and H(div) polynomial extensions for polynomialdegree-robust potential and flux reconstruction in three space dimensions, 2016. ,
Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations, SIAM Journal on Numerical Analysis, vol.28, issue.6, pp.6-1680, 1991. ,
DOI : 10.1137/0728084
URL : https://hal.archives-ouvertes.fr/inria-00075505
Finite element methods for Navier-Stokes equations Theory and algorithms, of Springer Series in Computational Mathematics, 1986. ,
A unified framework for a posteriori error estimation for the Stokes problem, Numerische Mathematik, vol.46, issue.272, pp.725-769, 2012. ,
DOI : 10.1007/s10915-010-9410-1
URL : https://hal.archives-ouvertes.fr/hal-00470131
New development in freefem++, Journal of Numerical Mathematics, vol.20, issue.3-4, pp.3-4, 2012. ,
DOI : 10.1515/jnum-2012-0013
URL : https://hal.archives-ouvertes.fr/hal-01476313
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, Computer Methods in Applied Mechanics and Engineering, vol.65, issue.1, pp.1-85, 1987. ,
DOI : 10.1016/0045-7825(87)90184-8
A new finite element formulation for computational fluid dynamics: V. Circumventing the babu??ka-brezzi condition: a stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations, Computer Methods in Applied Mechanics and Engineering, vol.59, issue.1, pp.1-85, 1986. ,
DOI : 10.1016/0045-7825(86)90025-3
A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers, SIAM Journal on Scientific Computing, vol.32, issue.3, pp.1567-1590, 2010. ,
DOI : 10.1137/08073706X
A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations, SIAM Journal on Scientific Computing, vol.21, issue.4, pp.1321-1336, 1999. ,
DOI : 10.1137/S1064827598333715
Analysis of locally stabilized mixed finite element methods for the Stokes problem, Mathematics of Computation, vol.58, issue.197, pp.1-10, 1992. ,
DOI : 10.1090/S0025-5718-1992-1106973-X
A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem, Journal of Computational and Applied Mathematics, vol.235, issue.1, pp.186-202, 2010. ,
DOI : 10.1016/j.cam.2010.05.032
On an inexact Uzawa-type algorithm for stabilized saddle point problems, International Journal of Computer Mathematics, vol.87, issue.13, pp.13-2945, 2010. ,
DOI : 10.1090/S0025-5718-01-01324-2
Corrected Uzawa methods for solving large nonsymmetric saddle point problems, Applied Mathematics and Computation, vol.183, issue.2, pp.1108-1120, 2006. ,
DOI : 10.1016/j.amc.2006.05.122
Goal-oriented error control of the iterative solution of finite element equations, Journal of Numerical Mathematics, vol.4, issue.2, pp.143-172, 2009. ,
DOI : 10.1137/S003614299732334X
Solution of Sparse Indefinite Systems of Linear Equations, SIAM Journal on Numerical Analysis, vol.12, issue.4, pp.617-629, 1975. ,
DOI : 10.1137/0712047
An optimal Poincar?? inequality for convex domains, Archive for Rational Mechanics and Analysis, vol.5, issue.1, pp.286-292, 1960. ,
DOI : 10.2140/pjm.1958.8.551
Finite element methods for fluids, 1989. ,
Numerical approximation of partial differential equations, 1994. ,
Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error, Journal of Numerical Mathematics, vol.4, issue.4, pp.303-327, 2010. ,
DOI : 10.1023/A:1021930421106
Local a posteriori estimates for the Stokes problem, Journal of Mathematical Sciences, vol.24, issue.239 ,
DOI : 10.1007/978-3-0348-7605-6
An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation, ACM Transactions on Mathematical Software, vol.37, issue.4, p.22, 2011. ,
DOI : 10.1145/1916461.1916466
URL : http://eprints.ma.man.ac.uk/1609/01/a42-silvester.pdf
Recovery-based error estimator for stabilized finite element methods for the Stokes equation, Computer Methods in Applied Mechanics and Engineering, vol.272, pp.272-273, 2014. ,
DOI : 10.1016/j.cma.2014.01.004
Towards discrete velte decompositions and narrow bounds for inf-sup constants, Computers & Mathematics with Applications, vol.38, issue.7-8, pp.7-8, 1999. ,
DOI : 10.1016/S0898-1221(99)00254-0
URL : https://doi.org/10.1016/s0898-1221(99)00254-0
A numerical solution of the Navier-Stokes equations using the finite element technique, Computers & Fluids, vol.1, issue.1, pp.1-73, 1973. ,
DOI : 10.1016/0045-7930(73)90027-3
A posteriori error estimators for the Stokes equations, Numerische Mathematik, vol.4, issue.3, pp.309-325, 1989. ,
DOI : 10.1007/BF01390056
A preconditioned conjugate gradient Uzawa-type method for the solution of the stokes problem by mixed Q1-P0 stabilized finite elements, International Journal for Numerical Methods in Fluids, vol.38, issue.3, pp.289-298, 1992. ,
DOI : 10.1007/978-3-663-14169-3_2
Unified a posteriori error estimator for finite element methods for the Stokes equations, Int. J. Numer. Anal. Model, vol.10, pp.3-551, 2013. ,