Estimateurs a posteriori d'erreur pour le calcul adaptatif d'écoulements quasi-newtoniens
ESAIM: M2AN, 25 1 (1991) 31-47
Published online: 2017-01-31
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
A posteriori error analysis of space-time discontinuous Galerkin methods for the ε-stochastic Allen–Cahn equation
Dimitra C Antonopoulou, Bernard Egwu and Yubin YanIMA Journal of Numerical Analysis 44 (3) 1862 (2024)
https://doi.org/10.1093/imanum/drad052
A Posteriori Error Estimators for the Quasi-Newtonian Stokes Problem with a General Boundary Condition
Omar El Moutea, Lahcen El Ouadefli, Abdeslam El Akkad, et al.Mathematics 11 (8) 1943 (2023)
https://doi.org/10.3390/math11081943
The Convergence Analysis of Semi- and Fully-Discrete Projection-Decoupling Schemes for the Generalized Newtonian Models
Guanyu ZhouJournal of Scientific Computing 91 (2) (2022)
https://doi.org/10.1007/s10915-022-01828-5
A posteriori analysis for space-time, discontinuous in time Galerkin approximations for parabolic equations in a variable domain
Dimitra Antonopoulou and Michael PlexousakisESAIM: Mathematical Modelling and Numerical Analysis 53 (2) 523 (2019)
https://doi.org/10.1051/m2an/2018059
Mimetic finite difference approximation of quasilinear elliptic problems
Paola F. Antonietti, Nadia Bigoni and Marco VeraniCalcolo 52 (1) 45 (2015)
https://doi.org/10.1007/s10092-014-0107-y
The steepest descent algorithm without line search for p-Laplacian
Guangming Zhou and Chunsheng FengApplied Mathematics and Computation 224 36 (2013)
https://doi.org/10.1016/j.amc.2013.07.096
COULOMB FRICTION AND OTHER SLIDING LAWS IN A HIGHER-ORDER GLACIER FLOW MODEL
CHRISTIAN SCHOOFMathematical Models and Methods in Applied Sciences 20 (01) 157 (2010)
https://doi.org/10.1142/S0218202510004180
Preconditioned Descent Algorithms for p-Laplacian
Y. Q. Huang, Ruo Li and Wenbin LiuJournal of Scientific Computing 32 (2) 343 (2007)
https://doi.org/10.1007/s10915-007-9134-z
A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm
Carsten Carstensen, W. Liu and N. YanMathematics of Computation 75 (256) 1599 (2006)
https://doi.org/10.1090/S0025-5718-06-01819-9
A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian
Carsten Carstensen, Wenbin Liu and Ningning YanSIAM Journal on Numerical Analysis 43 (6) 2294 (2006)
https://doi.org/10.1137/040611008
Finite-element approximation of viscoelastic fluid flow with slip boundary condition
A. LiakosComputers & Mathematics with Applications 49 (2-3) 281 (2005)
https://doi.org/10.1016/j.camwa.2004.07.013
Modelling error and constitutive relations in simulation of flow and transport
Graham F. Carey, William Barth, Juliette A. Woods, Benjamin S. Kirk, Michael L. Anderson, Sum Chow and Wolfgang BangerthInternational Journal for Numerical Methods in Fluids 46 (12) 1211 (2004)
https://doi.org/10.1002/fld.797
Numerical approximation of generalized Newtonian fluids using Powell–Sabin–Heindl elements: I. theoretical estimates
S.‐S. Chow and G. F. CareyInternational Journal for Numerical Methods in Fluids 41 (10) 1085 (2003)
https://doi.org/10.1002/fld.480
Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz–Zhu error estimator
M. PicassoCommunications in Numerical Methods in Engineering 19 (1) 13 (2003)
https://doi.org/10.1002/cnm.546
A posteriori error estimates and adaptive finite elements for a nonlinear parabolic problem related to solidification
O. Krüger, M. Picasso and J.-F. ScheidComputer Methods in Applied Mechanics and Engineering 192 (5-6) 535 (2003)
https://doi.org/10.1016/S0045-7825(02)00550-9
A posteriori error estimates for control problems governed by nonlinear elliptic equations
Wenbin Liu and Ningning YanApplied Numerical Mathematics 47 (2) 173 (2003)
https://doi.org/10.1016/S0168-9274(03)00054-0
Two-level finite element discretization of viscoelastic fluid flow
Anastasios Liakos and Hyesuk LeeComputer Methods in Applied Mechanics and Engineering 192 (44-46) 4965 (2003)
https://doi.org/10.1016/S0045-7825(03)00443-2
An Anisotropic Error Indicator Based on Zienkiewicz--Zhu Error Estimator: Application to Elliptic and Parabolic Problems
M. PicassoSIAM Journal on Scientific Computing 24 (4) 1328 (2003)
https://doi.org/10.1137/S1064827501398578
On Quasi-Norm Interpolation Error Estimation And A Posteriori Error Estimates for p-Laplacian
Wenbin Liu and Ningning YanSIAM Journal on Numerical Analysis 40 (5) 1870 (2002)
https://doi.org/10.1137/S0036142901393589
Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
Ruo Li, Wenbin Liu, Heping Ma and Tao TangSIAM Journal on Control and Optimization 41 (5) 1321 (2002)
https://doi.org/10.1137/S0363012901389342
A Posteriori Error Estimates for Control Problems Governed by Stokes Equations
Wenbin Liu and Ningning YanSIAM Journal on Numerical Analysis 40 (5) 1850 (2002)
https://doi.org/10.1137/S0036142901384009
A Posteriori Error Estimates for Convex Boundary Control Problems
Wenbin Liu and Ningning YanSIAM Journal on Numerical Analysis 39 (1) 73 (2001)
https://doi.org/10.1137/S0036142999352187
Quasi-Norm Local Error Estimators forp-Laplacian
Wenbin Liu and Ningning YanSIAM Journal on Numerical Analysis 39 (1) 100 (2001)
https://doi.org/10.1137/S0036142999351613
Fast Solution of Discretized Optimization Problems
WenBin LiuFast Solution of Discretized Optimization Problems 154 (2001)
https://doi.org/10.1007/978-3-0348-8233-0_12
Existence,a priorianda posteriorierror estimates for a nonlinear three-field problem arising from Oldroyd-B viscoelastic flows
Marco Picasso and Jacques RappazESAIM: Mathematical Modelling and Numerical Analysis 35 (5) 879 (2001)
https://doi.org/10.1051/m2an:2001140
Error estimates and adaptive finite element methods
Jaroslav MackerleEngineering Computations 18 (5/6) 802 (2001)
https://doi.org/10.1108/EUM0000000005788
A posteriori error estimates for some model boundary control problems
Wenbin Liu and Ningning YanJournal of Computational and Applied Mathematics 120 (1-2) 159 (2000)
https://doi.org/10.1016/S0377-0427(00)00308-3
An a posteriori finite element error analysis for the stokes equations
Jang Jou and Jinn-Liang LiuJournal of Computational and Applied Mathematics 114 (2) 333 (2000)
https://doi.org/10.1016/S0377-0427(99)00271-X
https://doi.org/10.1002/9781118032824.refs
Adaptive finite elements for a linear parabolic problem
Marco PicassoComputer Methods in Applied Mechanics and Engineering 167 (3-4) 223 (1998)
https://doi.org/10.1016/S0045-7825(98)00121-2
Advances in Adaptive Computational Methods in Mechanics
T. Coupez, L. Fourment and J.L. ChenotStudies in Applied Mechanics, Advances in Adaptive Computational Methods in Mechanics 47 365 (1998)
https://doi.org/10.1016/S0922-5382(98)80021-4
A posteriori error estimates for nonlinear problems. 𝐿^{𝑟}(0,𝑇;𝐿^{𝜌}(Ω))-error estimates for finite element discretizations of parabolic equations
R. VerfürthMathematics of Computation 67 (224) 1335 (1998)
https://doi.org/10.1090/S0025-5718-98-01011-4
A Posteriori Error Estimators for the Stokes and Oseen Equations
Mark Ainsworth and J. Tinsley OdenSIAM Journal on Numerical Analysis 34 (1) 228 (1997)
https://doi.org/10.1137/S0036142994264092
A posteriori error estimators for the steady incompressible Navier-Stokes equations
Daniela Arnica and Claudio PadraNumerical Methods for Partial Differential Equations 13 (5) 561 (1997)
https://doi.org/10.1002/(SICI)1098-2426(199709)13:5<561::AID-NUM7>3.0.CO;2-H
Techniques of Scientific Computing (Part 2)
Gabriel Caloz and Jacques RappazHandbook of Numerical Analysis, Techniques of Scientific Computing (Part 2) 5 487 (1997)
https://doi.org/10.1016/S1570-8659(97)80004-X
A Posteriori Error Estimators for Nonconforming Approximation of Some Quasi-Newtonian Flows
Claudio PadraSIAM Journal on Numerical Analysis 34 (4) 1600 (1997)
https://doi.org/10.1137/S0036142994278322
A Posteriori Error Estimate of Approximate Solutions to a Special Nonlinear Elliptic Boundary Value Problem
Juraj WeiszZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 75 (1) 79 (1995)
https://doi.org/10.1002/zamm.19950750122
An adaptive finite element algorithm for a two-dimensional stationary Stefan-like problem
M. PicassoComputer Methods in Applied Mechanics and Engineering 124 (3) 213 (1995)
https://doi.org/10.1016/0045-7825(95)00793-Z
A model study of element residual estimators for linear elliptic problems: The quality of the estimators in the interior of meshes of triangles and quadrilaterals
I. Babuška, T. Strouboulis, C.S. Upadhyay and S.K. GangarajComputers & Structures 57 (6) 1009 (1995)
https://doi.org/10.1016/0045-7949(95)00075-R
A posteriori error estimates for nonlinear problems. Finite element discretizations of elliptic equations
R. VerfürthMathematics of Computation 62 (206) 445 (1994)
https://doi.org/10.1090/S0025-5718-1994-1213837-1
A model study of the quality of a posteriori error estimators for linear elliptic problems. Error estimation in the interior of patchwise uniform grids of triangles
I Babuška, T Strouboulis and C.S UpadhyayComputer Methods in Applied Mechanics and Engineering 114 (3-4) 307 (1994)
https://doi.org/10.1016/0045-7825(94)90177-5
Validation of a posteriori error estimators by numerical approach
I. Babuška, T. Strouboulis, C. S. Upadhyay, S. K. Gangaraj and K. CoppsInternational Journal for Numerical Methods in Engineering 37 (7) 1073 (1994)
https://doi.org/10.1002/nme.1620370702
Sur l'approximation numérique des écoulements quasi-newtoniens dont la viscosité suit la loi puissance ou la loi de Carreau
D. SandriESAIM: Mathematical Modelling and Numerical Analysis 27 (2) 131 (1993)
https://doi.org/10.1051/m2an/1993270201311
Finite element approximation of viscoelastic fluid flow: Existence of approximate solutions and error bounds
J. Baranger and D. SandriNumerische Mathematik 63 (1) 13 (1992)
https://doi.org/10.1007/BF01385845