Preconditioning discrete approximations of the Reissner-Mindlin plate model
ESAIM: M2AN, 31 4 (1997) 517-557
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):
Locking-free Argyris–Lagrange finite elements for the Reissner–Mindlin plate
Yunqing Huang and Shangyou ZhangCalcolo 61 (3) (2024)
https://doi.org/10.1007/s10092-024-00608-x
Decomposition into subspaces preconditioning: abstract framework
Jakub Hrnčíř, Ivana Pultarová and Zdeněk StrakošNumerical Algorithms 83 (1) 57 (2020)
https://doi.org/10.1007/s11075-019-00671-4
Multigrid methods for H(div) in three dimensions with nonoverlapping domain decomposition smoothers
Susanne C. Brenner and Duk‐Soon OhNumerical Linear Algebra with Applications 25 (5) (2018)
https://doi.org/10.1002/nla.2191
Domain Decomposition Methods in Science and Engineering XXIV
Susanne C. Brenner and Duk-Soon OhLecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXIV 125 523 (2018)
https://doi.org/10.1007/978-3-319-93873-8_50
BDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields
Duk-Soon Oh, Olof Widlund, Stefano Zampini and Clark DohrmannMathematics of Computation 87 (310) 659 (2017)
https://doi.org/10.1090/mcom/3254
Domain Decomposition Methods in Science and Engineering XXIII
Chak S. Lee and Panayot S. VassilevskiLecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXIII 116 69 (2017)
https://doi.org/10.1007/978-3-319-52389-7_6
PDE-Constrained Optimization with Local Control and Boundary Observations: Robust Preconditioners
Ole Løseth Elvetun and Bjørn Fredrik NielsenSIAM Journal on Scientific Computing 38 (6) A3461 (2016)
https://doi.org/10.1137/140999098
Natural Preconditioning and Iterative Methods for Saddle Point Systems
Jennifer Pestana and Andrew J. WathenSIAM Review 57 (1) 71 (2015)
https://doi.org/10.1137/130934921
Sound transmission through a poroelastic layered panel
Loris Nagler, Ping Rong, Martin Schanz and Otto von EstorffComputational Mechanics 53 (4) 549 (2014)
https://doi.org/10.1007/s00466-013-0916-x
An Overlapping Schwarz Algorithm for Raviart--Thomas Vector Fields with Discontinuous Coefficients
Duk-Soon OhSIAM Journal on Numerical Analysis 51 (1) 297 (2013)
https://doi.org/10.1137/110838868
Domain Decomposition Methods in Science and Engineering XX
Duk-Soon OhLecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XX 91 361 (2013)
https://doi.org/10.1007/978-3-642-35275-1_42
Analysis of the Minimal Residual Method Applied to Ill Posed Optimality Systems
Bjørn Fredrik Nielsen and Kent-Andre MardalSIAM Journal on Scientific Computing 35 (2) A785 (2013)
https://doi.org/10.1137/120871547
Order optimal preconditioners for fully implicit Runge-Kutta schemes applied to the bidomain equations
Trygve K. Nilssen, Gunnar A. Staff and Kent-Andre MardalNumerical Methods for Partial Differential Equations 27 (5) 1290 (2011)
https://doi.org/10.1002/num.20582
Simula Research Laboratory
Bjørn Fredrik Nielsen, Marius Lysaker, Per Grøttum, et al.Simula Research Laboratory 287 (2010)
https://doi.org/10.1007/978-3-642-01156-6_22
Robust BDDC Preconditioners for Reissner–Mindlin Plate Bending Problems and MITC Elements
L. Beirão da Veiga, C. Chinosi, C. Lovadina and L. F. PavarinoSIAM Journal on Numerical Analysis 47 (6) 4214 (2010)
https://doi.org/10.1137/080717729
Efficient Preconditioners for Optimality Systems Arising in Connection with Inverse Problems
Bjørn Fredrik Nielsen and Kent-Andre MardalSIAM Journal on Control and Optimization 48 (8) 5143 (2010)
https://doi.org/10.1137/080719960
From Functional Analysis to Iterative Methods
Robert C. KirbySIAM Review 52 (2) 269 (2010)
https://doi.org/10.1137/070706914
A Saddle Point Approach to the Computation of Harmonic Maps
Qiya Hu, Xue-Cheng Tai and Ragnar WintherSIAM Journal on Numerical Analysis 47 (2) 1500 (2009)
https://doi.org/10.1137/060675575
Multigrid Methods for a Stabilized Reissner–Mindlin Plate Formulation
Joachim Schöberl and Rolf StenbergSIAM Journal on Numerical Analysis 47 (4) 2735 (2009)
https://doi.org/10.1137/060672182
Order‐Optimal Preconditioners for Implicit Runge–Kutta Schemes Applied to Parabolic PDEs
K.‐A. Mardal, T. K. Nilssen and G. A. StaffSIAM Journal on Scientific Computing 29 (1) 361 (2007)
https://doi.org/10.1137/05064093X
An order optimal solver for the discretized bidomain equations
Kent‐Andre Mardal, Bjørn Fredrik Nielsen, Xing Cai and Aslak TveitoNumerical Linear Algebra with Applications 14 (2) 83 (2007)
https://doi.org/10.1002/nla.501
A note on least squares methods
G. F. Carey and W. B. RichardsonCommunications in Numerical Methods in Engineering 22 (2) 83 (2005)
https://doi.org/10.1002/cnm.780
A preconditioner for the equations of linear elasticity discretized by the PEERS element
Axel Klawonn and Gerhard StarkeNumerical Linear Algebra with Applications 11 (5-6) 493 (2004)
https://doi.org/10.1002/nla.357
Analysis of Preconditioners for Saddle-Point Problems
D. Loghin and A. J. WathenSIAM Journal on Scientific Computing 25 (6) 2029 (2004)
https://doi.org/10.1137/S1064827502418203
Schur complement preconditioning for elliptic systems of partial differential equations
D. Loghin and A. J. WathenNumerical Linear Algebra with Applications 10 (5-6) 423 (2003)
https://doi.org/10.1002/nla.322
Component‐wise algebraic multigrid preconditioning for the iterative solution of stress analysis problems from microfabrication technology
S. Mijalković and M. D. MihajlovićCommunications in Numerical Methods in Engineering 17 (10) 737 (2001)
https://doi.org/10.1002/cnm.447
Adaptive mixed finite element method for Reissner–Mindlin plate
C. Carstensen and K. WeinbergComputer Methods in Applied Mechanics and Engineering 190 (51-52) 6895 (2001)
https://doi.org/10.1016/S0045-7825(01)00268-7
An adaptive finite element approach for a mixed Reissner–Mindlin plate formulation
K. WeinbergComputer Methods in Applied Mechanics and Engineering 190 (37-38) 4999 (2001)
https://doi.org/10.1016/S0045-7825(00)00360-1
A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems
Axel Klawonn and Luca F. PavarinoNumerical Linear Algebra with Applications 7 (1) 1 (2000)
https://doi.org/10.1002/(SICI)1099-1506(200001/02)7:1<1::AID-NLA183>3.0.CO;2-J
Least Squares for the Perturbed Stokes Equations and the Reissner--Mindlin Plate
Zhiqiang CaiSIAM Journal on Numerical Analysis 38 (5) 1561 (2000)
https://doi.org/10.1137/S0036142999350152
Effective dimensional reduction algorithm for eigenvalue problems for thin elastic structures: A paradigm in three dimensions
Evgueni E. Ovtchinnikov and Leonidas S. XanthisProceedings of the National Academy of Sciences 97 (3) 967 (2000)
https://doi.org/10.1073/pnas.97.3.967
A Domain Decomposition Method with Lagrange Multipliers and Inexact Solvers for Linear Elasticity
Axel Klawonn and Olof B. WidlundSIAM Journal on Scientific Computing 22 (4) 1199 (2000)
https://doi.org/10.1137/S1064827599352495
Adaptive Mixed Finite Element Method for Reissner‐Mindlin Plates
Weinberg Kerstin and Carstensen CarstenZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 80 (S2) 559 (2000)
https://doi.org/10.1002/zamm.200008014149
Least-squares finite element approximations for the Reissner-Mindlin plate
Zhiqiang Cai, Xiu Ye and Huilong ZhangNumerical Linear Algebra with Applications 6 (6) 479 (1999)
https://doi.org/10.1002/(SICI)1099-1506(199909)6:6<479::AID-NLA172>3.0.CO;2-K
A negative-norm least squares method for Reissner-Mindlin plates
James Bramble and Tong SunMathematics of Computation 67 (223) 901 (1998)
https://doi.org/10.1090/S0025-5718-98-00972-7
Domain embedding preconditioners for mixed systems
Torgeir Rusten, Panayot S. Vassilevski and Ragnar WintherNumerical Linear Algebra with Applications 5 (5) 321 (1998)
https://doi.org/10.1002/(SICI)1099-1506(199809/10)5:5<321::AID-NLA136>3.0.CO;2-S
A locking-free finite element method for Naghdi shells
James H. Bramble and Tong SunJournal of Computational and Applied Mathematics 89 (1) 119 (1998)
https://doi.org/10.1016/S0377-0427(97)00234-3
Iterative subspace correction methods for thin elastic structures and Korn's type inequality in subspaces
Evgueni E. Ovtchinnikov and Leonidas S. XanthisProceedings 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 XanthisComputer Methods in Applied Mechanics and Engineering 160 (1-2) 23 (1998)
https://doi.org/10.1016/S0045-7825(97)00317-4
The Korn's type inequality in subspaces and thin elastic structures
Evgueni E. Ovtchinnikov and Leonidas S. XanthisProceedings 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
Numerical Methods and Software Tools in Industrial Mathematics
Torgeir Rusten and Ragnar WintherNumerical Methods and Software Tools in Industrial Mathematics 281 (1997)
https://doi.org/10.1007/978-1-4612-1984-2_13