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:

Deflation for the Off-Diagonal Block in Symmetric Saddle Point Systems

Andrei Dumitrasc, Carola Kruse and Ulrich Rüde
SIAM Journal on Matrix Analysis and Applications 45 (1) 203 (2024)
https://doi.org/10.1137/22M1537266

A Fast Algorithm for Aperiodic Linear Stencil Computation using Fast Fourier Transforms

Zafar Ahmad, Rezaul Chowdhury, Rathish Das, Pramod Ganapathi, Aaron Gregory and Yimin Zhu
ACM Transactions on Parallel Computing 10 (4) 1 (2023)
https://doi.org/10.1145/3606338

A conforming auxiliary space preconditioner for the mass conserving stress‐yielding method

Lukas Kogler, Philip L. Lederer and Joachim Schöberl
Numerical Linear Algebra with Applications 30 (5) (2023)
https://doi.org/10.1002/nla.2503

Schur preconditioning of the Stokes equations in channel-dominated domains

Andreas Meier, Eberhard Bänsch and Florian Frank
Computer Methods in Applied Mechanics and Engineering 398 115264 (2022)
https://doi.org/10.1016/j.cma.2022.115264

The steady motion of microbubbles in bifurcating airways: Role of shear-thinning and surface tension

Bacha Munir and Yong Xu
Respiratory Physiology & Neurobiology 290 103675 (2021)
https://doi.org/10.1016/j.resp.2021.103675

Effects of gravity and surface tension on steady microbubble propagation in asymmetric bifurcating airways

Bacha Munir and Yong Xu
Physics of Fluids 32 (7) (2020)
https://doi.org/10.1063/5.0012796

Estimates of the Distance to Exact Solutions of the Stokes Problem with Slip and Leak Boundary Conditions

P. Neittaanmäki, M. Nokka and S. Repin
Journal of Mathematical Sciences 242 (2) 280 (2019)
https://doi.org/10.1007/s10958-019-04477-6

Contributions to Partial Differential Equations and Applications

Igor N. Konshin, Maxim A. Olshanskii and Yuri V. Vassilevski
Computational Methods in Applied Sciences, Contributions to Partial Differential Equations and Applications 47 339 (2019)
https://doi.org/10.1007/978-3-319-78325-3_18

Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?

Volker John, Petr Knobloch and Julia Novo
Computing and Visualization in Science 19 (5-6) 47 (2018)
https://doi.org/10.1007/s00791-018-0290-5

Computable majorants of the limit load in Hencky’s plasticity problems

Sergey Repin, Stanislav Sysala and Jaroslav Haslinger
Computers & Mathematics with Applications 75 (1) 199 (2018)
https://doi.org/10.1016/j.camwa.2017.09.007

OptimalL2velocity error estimate for a modified pressure-robust Crouzeix–Raviart Stokes element

A. Linke, C. Merdon and W. Wollner
IMA Journal of Numerical Analysis 37 (1) 354 (2017)
https://doi.org/10.1093/imanum/drw019

On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows

Volker John, Alexander Linke, Christian Merdon, Michael Neilan and Leo G. Rebholz
SIAM Review 59 (3) 492 (2017)
https://doi.org/10.1137/15M1047696

Finite Element Methods for Incompressible Flow Problems

Volker John
Springer Series in Computational Mathematics, Finite Element Methods for Incompressible Flow Problems 51 25 (2016)
https://doi.org/10.1007/978-3-319-45750-5_3

Continuity Properties of the Inf-Sup Constant for the Divergence

Christine Bernardi, Martin Costabel, Monique Dauge and Vivette Girault
SIAM Journal on Mathematical Analysis 48 (2) 1250 (2016)
https://doi.org/10.1137/15M1044989

Ana posteriorierror estimation for the discrete duality finite volume discretization of the Stokes equations

Anh Ha Le and Pascal Omnes
ESAIM: Mathematical Modelling and Numerical Analysis 49 (3) 663 (2015)
https://doi.org/10.1051/m2an/2014057

Numerical and computational aspects of some block-preconditioners for saddle point systems

Ali Dorostkar, Maya Neytcheva and Björn Lund
Parallel Computing 49 164 (2015)
https://doi.org/10.1016/j.parco.2015.06.003

The inf‐sup constant for the divergence on corner domains

Martin Costabel, Michel Crouzeix, Monique Dauge and Yvon Lafranche
Numerical Methods for Partial Differential Equations 31 (2) 439 (2015)
https://doi.org/10.1002/num.21916

Fully computable a posteriori error estimates for the Stokes equation without the global inf–sup constant

Kwang-Yeon Kim
Computers & Mathematics with Applications 67 (3) 681 (2014)
https://doi.org/10.1016/j.camwa.2013.12.011

A finite element solver and energy stable coupling for 3D and 1D fluid models

Tatiana K. Dobroserdova and Maxim A. Olshanskii
Computer Methods in Applied Mechanics and Engineering 259 166 (2013)
https://doi.org/10.1016/j.cma.2013.03.018

Flux reconstruction for the P2 nonconforming finite element method with application to a posteriori error estimation

Kwang-Yeon Kim
Applied Numerical Mathematics 62 (12) 1701 (2012)
https://doi.org/10.1016/j.apnum.2012.06.027

A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations

Qifeng Liao and David Silvester
Applied Numerical Mathematics 62 (9) 1242 (2012)
https://doi.org/10.1016/j.apnum.2010.05.003

Preconditioning Steady-State Navier--Stokes Equations with Random Data

Catherine E. Powell and David J. Silvester
SIAM Journal on Scientific Computing 34 (5) A2482 (2012)
https://doi.org/10.1137/120870578

On the domain dependence of the inf–sup and related constants via conformal mapping

Sándor Zsuppán
Journal of Mathematical Analysis and Applications 382 (2) 856 (2011)
https://doi.org/10.1016/j.jmaa.2011.04.086

Guaranteed A Posteriori Error Estimator for Mixed Finite Element Methods of Linear Elasticity with Weak Stress Symmetry

Kwang-Yeon Kim
SIAM Journal on Numerical Analysis 49 (6) 2364 (2011)
https://doi.org/10.1137/110823031

A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem

Carsten Carstensen, Dongho Kim and Eun-Jae Park
SIAM Journal on Numerical Analysis 49 (6) 2501 (2011)
https://doi.org/10.1137/100816237

A posteriori error estimators for stabilized P1 nonconforming approximation of the Stokes problem

Hyung-Chun Lee and Kwang-Yeon Kim
Computer Methods in Applied Mechanics and Engineering 199 (45-48) 2903 (2010)
https://doi.org/10.1016/j.cma.2010.06.002

Estimates of the deviations from the exact solutions for variational inequalities describing the stationary flow of certain viscous incompressible fluids

M. Fuchs and S. Repin
Mathematical Methods in the Applied Sciences 33 (9) 1136 (2010)
https://doi.org/10.1002/mma.1242

Practical Error Estimates for Reynolds' Lubrication Approximation and its Higher Order Corrections

Jon Wilkening
SIAM Journal on Mathematical Analysis 41 (2) 588 (2009)
https://doi.org/10.1137/070695447

A posteriori error estimates for viscous flow problems with rotation

E. Gorshkova, A. Mahalov, P. Neittaanmäki and S. Repin
Journal of Mathematical Sciences 142 (1) 1749 (2007)
https://doi.org/10.1007/s10958-007-0085-6

On solution of the Stokes problem by the iteration of boundary conditions

E. V. Chizhonkov and A. V. Kargin
Russian Journal of Numerical Analysis and Mathematical Modelling 21 (1) (2006)
https://doi.org/10.1515/156939806775696904

Some remarks on the nonlinear inexact Uzawa algorithm for saddle point problem

Haifeng Ye and Xiao-Liang Cheng
International Journal of Computer Mathematics 82 (1) 89 (2005)
https://doi.org/10.1080/00207160412331284114

A low order Galerkin finite element method for the Navier–Stokes equations of steady incompressible flow: a stabilization issue and iterative methods

Maxim A. Olshanskii
Computer Methods in Applied Mechanics and Engineering 191 (47-48) 5515 (2002)
https://doi.org/10.1016/S0045-7825(02)00513-3