Existence, a priori and a posteriori error estimates for a nonlinear three-field problem arising from Oldroyd-B viscoelastic flows
ESAIM: M2AN, 35 5 (2001) 879-897
Published online: 2002-04-15
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):
Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem
Ramon Codina and Laura MorenoESAIM: Mathematical Modelling and Numerical Analysis 55 S279 (2021)
https://doi.org/10.1051/m2an/2020038
Stabilised Variational Multi-scale Finite Element Formulations for Viscoelastic Fluids
Ernesto Castillo, Laura Moreno, Joan Baiges and Ramon CodinaArchives of Computational Methods in Engineering 28 (3) 1987 (2021)
https://doi.org/10.1007/s11831-020-09526-x
Time-dependent semidiscrete analysis of the viscoelastic fluid flow problem using a variational multiscale stabilized formulation
Gabriel R Barrenechea, Ernesto Castillo and Ramon CodinaIMA Journal of Numerical Analysis 39 (2) 792 (2019)
https://doi.org/10.1093/imanum/dry018
A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd–Stokes problem
Sergio Caucao, Gabriel N. Gatica and Ricardo OyarzúaNumerical Methods for Partial Differential Equations 35 (1) 295 (2019)
https://doi.org/10.1002/num.22301
A Study on the Galerkin Least-Squares Method for the Oldroyd-B Model
Tsu-Fen Chen, Hyesuk Lee and Chia-Chen LiuComputational Methods in Applied Mathematics 18 (2) 181 (2018)
https://doi.org/10.1515/cmam-2017-0022
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part I: A nonlinear scheme
Mária Lukáčová–Medvid’ová, Hana Mizerová, Hirofumi Notsu and Masahisa TabataESAIM: Mathematical Modelling and Numerical Analysis 51 (5) 1637 (2017)
https://doi.org/10.1051/m2an/2016078
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part II: A linear scheme
Mária Lukáčová–Medvid’ová, Hana Mizerová, Hirofumi Notsu and Masahisa TabataESAIM: Mathematical Modelling and Numerical Analysis 51 (5) 1663 (2017)
https://doi.org/10.1051/m2an/2017032
Numerical Methods for Non-Newtonian Fluids
Andrea Bonito, Philippe Clément and Marco PicassoHandbook of Numerical Analysis, Numerical Methods for Non-Newtonian Fluids 16 305 (2011)
https://doi.org/10.1016/B978-0-444-53047-9.00003-4
Influence of the Weißenberg number on the stability of Oldroyd kind fluids
N. Scurtu and E. BänschAsia-Pacific Journal of Chemical Engineering 5 (4) 657 (2010)
https://doi.org/10.1002/apj.384
Partial Differential Equations
Andrea Bonito, Alexandre Caboussat, Marco Picasso and Jacques RappazComputational Methods in Applied Sciences, Partial Differential Equations 16 187 (2008)
https://doi.org/10.1007/978-1-4020-8758-5_10
A Continuous Interior Penalty Method for Viscoelastic Flows
Andrea Bonito and Erik BurmanSIAM Journal on Scientific Computing 30 (3) 1156 (2008)
https://doi.org/10.1137/060677033
Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow
Andrea Bonito, Philippe Clément and Marco PicassoNumerische Mathematik 107 (2) 213 (2007)
https://doi.org/10.1007/s00211-007-0085-y
Residual a posteriori error estimator for a three-field model of a non-linear generalized Stokes problem
Vincent J. Ervin and Timothy N. PhillipsComputer Methods in Applied Mechanics and Engineering 195 (19-22) 2599 (2006)
https://doi.org/10.1016/j.cma.2005.05.019
Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows
Andrea Bonito, Philippe Clément and Marco PicassoESAIM: Mathematical Modelling and Numerical Analysis 40 (4) 785 (2006)
https://doi.org/10.1051/m2an:2006030
Numerical simulation of 3D viscoelastic flows with free surfaces
Andrea Bonito, Marco Picasso and Manuel LasoJournal of Computational Physics 215 (2) 691 (2006)
https://doi.org/10.1016/j.jcp.2005.11.013
A posteriori error estimation and adaptive computation of viscoelastic fluid flow
Vincent J. Ervin and Louis N. NtasinNumerical Methods for Partial Differential Equations 21 (2) 297 (2005)
https://doi.org/10.1002/num.20038