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:

On the convergence of classical and multilevel variants of the Uzawa and Arrow–Hurwicz algorithms related to the LBB condition

Lori Badea
IMA Journal of Numerical Analysis (2025)
https://doi.org/10.1093/imanum/draf040

Matrix-Free Monolithic Multigrid Methods for Stokes and Generalized Stokes Problems

Daniel Jodlbauer, Ulrich Langer, Thomas Wick and Walter Zulehner
SIAM Journal on Scientific Computing 46 (3) A1599 (2024)
https://doi.org/10.1137/22M1504184

New hybridized mixed methods for linear elasticity and optimal multilevel solvers

Shihua Gong, Shuonan Wu and Jinchao Xu
Numerische Mathematik 141 (2) 569 (2019)
https://doi.org/10.1007/s00211-018-1001-3

Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems

Alexander Heinlein, Christian Hochmuth and Axel Klawonn
SIAM Journal on Scientific Computing 41 (4) C291 (2019)
https://doi.org/10.1137/18M1184047

On the Analysis of Block Smoothers for Saddle Point Problems

Daniel Drzisga, Lorenz John, Ulrich Rüde, Barbara Wohlmuth and Walter Zulehner
SIAM Journal on Matrix Analysis and Applications 39 (2) 932 (2018)
https://doi.org/10.1137/16M1106304

A robust multigrid method for Isogeometric Analysis in two dimensions using boundary correction

Clemens Hofreither, Stefan Takacs and Walter Zulehner
Computer Methods in Applied Mechanics and Engineering 316 22 (2017)
https://doi.org/10.1016/j.cma.2016.04.003

A Robust Multigrid Method for the Time-Dependent Stokes Problem

Stefan Takacs
SIAM Journal on Numerical Analysis 53 (6) 2634 (2015)
https://doi.org/10.1137/140969658

Forty Years of the Crouzeix‐Raviart element

Susanne C. Brenner
Numerical Methods for Partial Differential Equations 31 (2) 367 (2015)
https://doi.org/10.1002/num.21892

Convergence Analysis of All-at-Once Multigrid Methods for Elliptic Control Problems under Partial Elliptic Regularity

Stefan Takacs and Walter Zulehner
SIAM Journal on Numerical Analysis 51 (3) 1853 (2013)
https://doi.org/10.1137/120880884

A Robust Multigrid Method for Elliptic Optimal Control Problems

Joachim Schöberl, René Simon and Walter Zulehner
SIAM Journal on Numerical Analysis 49 (4) 1482 (2011)
https://doi.org/10.1137/100783285

On Schwarz-type smoothers for saddle point problems with applications to PDE-constrained optimization problems

René Simon and Walter Zulehner
Numerische Mathematik 111 (3) 445 (2009)
https://doi.org/10.1007/s00211-008-0187-1

Multigrid Methods for a Stabilized Reissner–Mindlin Plate Formulation

Joachim Schöberl and Rolf Stenberg
SIAM Journal on Numerical Analysis 47 (4) 2735 (2009)
https://doi.org/10.1137/060672182

A comparative study of efficient iterative solvers for generalized Stokes equations

Maxim Larin and Arnold Reusken
Numerical Linear Algebra with Applications 15 (1) 13 (2008)
https://doi.org/10.1002/nla.561

Duality Estimates and Multigrid Analysis for Saddle Point Problems Arising from Mortar Discretizations

Christian Wieners and Barbara I. Wohlmuth
SIAM Journal on Scientific Computing 24 (6) 2163 (2003)
https://doi.org/10.1137/S1064827502402715

Parallel Solution of Partial Differential Equations

Luca F. Pavarino and Olof B. Widlund
The IMA Volumes in Mathematics and its Applications, Parallel Solution of Partial Differential Equations 120 1 (2000)
https://doi.org/10.1007/978-1-4612-1176-1_1

First-Order System Least Squares For Linear Elasticity: Numerical Results

Z. Cai, C. O. Lee, T. A. Manteuffel and S. F. McCormick
SIAM Journal on Scientific Computing 21 (5) 1706 (2000)
https://doi.org/10.1137/S1064827598338640

Effective dimensional reduction algorithm for eigenvalue problems for thin elastic structures: A paradigm in three dimensions

Evgueni E. Ovtchinnikov and Leonidas S. Xanthis
Proceedings of the National Academy of Sciences 97 (3) 967 (2000)
https://doi.org/10.1073/pnas.97.3.967

Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems. II: Mixed Methods for Linear Elasticity and Stokes Flow

Luca F. Pavarino and Olof B. Widlund
SIAM Journal on Numerical Analysis 37 (2) 375 (1999)
https://doi.org/10.1137/S0036142998333092

Overlapping Schwarz methods for mixed linear elasticity and Stokes problems

Axel Klawonn and Luca F. Pavarino
Computer Methods in Applied Mechanics and Engineering 165 (1-4) 233 (1998)
https://doi.org/10.1016/S0045-7825(98)00059-0

Iterative subspace correction methods for thin elastic structures and Korn's type inequality in subspaces

Evgueni E. Ovtchinnikov and Leonidas S. Xanthis
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 454 (1976) 2023 (1998)
https://doi.org/10.1098/rspa.1998.0247

The discrete Korn's type inequality in subspaces and iterative methods for thin elastic structures

Evgueni E Ovtchinnikov and Leonidas S Xanthis
Computer Methods in Applied Mechanics and Engineering 160 (1-2) 23 (1998)
https://doi.org/10.1016/S0045-7825(97)00317-4

Preconditioning discrete approximations of the Reissner-Mindlin plate model

Douglas N. Arnold, Richard S. Falk and Ragnar Winther
ESAIM: Mathematical Modelling and Numerical Analysis 31 (4) 517 (1997)
https://doi.org/10.1051/m2an/1997310405171

The Korn's type inequality in subspaces and thin elastic structures

Evgueni E. Ovtchinnikov and Leonidas S. Xanthis
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 453 (1964) 2003 (1997)
https://doi.org/10.1098/rspa.1997.0108