Uniform convergence of mixed interpolated elements for Reissner-Mindlin plates
ESAIM: M2AN, 26 5 (1992) 557-574
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):
Discrete Helmholtz Decompositions of Piecewise Constant and Piecewise Affine Vector and Tensor Fields
Philipp Bringmann, Jonas W. Ketteler and Mira SchedensackFoundations of Computational Mathematics 25 (2) 417 (2025)
https://doi.org/10.1007/s10208-024-09642-1
A Balancing Domain Decomposition by Constraints Deluxe Method for Reissner--Mindlin Plates with Falk--Tu Elements
Jong Ho LeeSIAM Journal on Numerical Analysis 53 (1) 63 (2015)
https://doi.org/10.1137/130940669
Numerical results for mimetic discretization of Reissner–Mindlin plate problems
Lourenço Beirão da Veiga, Carlo Lovadina and David MoraCalcolo 50 (3) 209 (2013)
https://doi.org/10.1007/s10092-012-0065-1
Overlapping Domain Decomposition Methods for Numerically Thin Reissner--Mindlin Plates Approximated with the Falk--Tu Elements
Jong Ho LeeSIAM Journal on Numerical Analysis 51 (1) 24 (2013)
https://doi.org/10.1137/110837516
A Posteriori Error Analysis for the Postprocessed MITC Plate Elements
L. Beira͂o da Veiga, J. Niiranen and R. StenbergSIAM Journal on Numerical Analysis 51 (1) 1 (2013)
https://doi.org/10.1137/11085640X
A mimetic discretization of the Reissner–Mindlin plate bending problem
L. Beirão da Veiga and D. MoraNumerische Mathematik 117 (3) 425 (2011)
https://doi.org/10.1007/s00211-010-0358-8
The Finite Element Analysis of Shells - Fundamentals
Dominique Chapelle and Klaus-Jürgen BatheComputational Fluid and Solid Mechanics, The Finite Element Analysis of Shells - Fundamentals 259 (2011)
https://doi.org/10.1007/978-3-642-16408-8_7
A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity
Roland Becker, Shipeng Mao and Zhongci ShiSIAM Journal on Numerical Analysis 47 (6) 4639 (2010)
https://doi.org/10.1137/070701479
An optimally convergent adaptive mixed finite element method
Roland Becker and Shipeng MaoNumerische Mathematik 111 (1) 35 (2008)
https://doi.org/10.1007/s00211-008-0180-8
Mixed Finite Elements, Compatibility Conditions, and Applications
Richard S. FalkLecture Notes in Mathematics, Mixed Finite Elements, Compatibility Conditions, and Applications 1939 195 (2008)
https://doi.org/10.1007/978-3-540-78319-0_5
Superconvergence and postprocessing of MITC plate elements
Mikko Lyly, Jarkko Niiranen and Rolf StenbergComputer Methods in Applied Mechanics and Engineering 196 (33-34) 3110 (2007)
https://doi.org/10.1016/j.cma.2007.02.006
A REFINED ERROR ANALYSIS OF MITC PLATE ELEMENTS
MIKKO LYLY, JARKKO NIIRANEN and ROLF STENBERGMathematical Models and Methods in Applied Sciences 16 (07) 967 (2006)
https://doi.org/10.1142/S021820250600142X
Error Estimates for Low-Order Isoparametric Quadrilateral Finite Elements for Plates
Ricardo G. Durán, Erwin Hernández, Luis Hervella-Nieto, Elsa Liberman and Rodolfo RodríguezSIAM Journal on Numerical Analysis 41 (5) 1751 (2003)
https://doi.org/10.1137/S0036142902409410
A locking-free Reissner-Mindlin quadrilateral element
Huo-Yuan Duan and Guo-Ping LiangMathematics of Computation 73 (248) 1655 (2003)
https://doi.org/10.1090/S0025-5718-03-01619-3
Mixed and nonconforming finite element approximations of Reissner–Mindlin plates
Huo-Yuan Duan and Guo-Ping LiangComputer Methods in Applied Mechanics and Engineering 192 (49-50) 5265 (2003)
https://doi.org/10.1016/j.cma.2003.07.009
NONCONFORMING ROTATED ${\mathcal Q}_1$ ELEMENT FOR REISSNER–MINDLIN PLATE
PINGBING MING and ZHONG-CI SHIMathematical Models and Methods in Applied Sciences 11 (08) 1311 (2001)
https://doi.org/10.1142/S0218202501001343
The Cauchy–Riemann Equations: Discretization by Finite Elements, Fast Solution of the Second Variable, and a Posteriori Error Estimation
Jan BrandtsAdvances in Computational Mathematics 15 (1-4) 61 (2001)
https://doi.org/10.1023/A:1014217225870
A posteriori error estimator for a mixed finite element method for Reissner-Mindlin plate
Elsa LibermanMathematics of Computation 70 (236) 1383 (2000)
https://doi.org/10.1090/S0025-5718-00-01289-8
Approximation of the vibration modes of a plate by Reissner-Mindlin equations
R. Durán, L. Hervella-Nieto, E. Liberman, L. Hervella-Nieto and J. SolominMathematics of Computation 68 (228) 1447 (1999)
https://doi.org/10.1090/S0025-5718-99-01094-7
An hp Error Analysis of MITC Plate Elements
Rolf Stenberg and Manil SuriSIAM Journal on Numerical Analysis 34 (2) 544 (1997)
https://doi.org/10.1137/S0036142994278486
Mathematical Elasticity - Volume II: Theory of Plates
Philippe G. CiarletStudies in Mathematics and Its Applications, Mathematical Elasticity - Volume II: Theory of Plates 27 3 (1997)
https://doi.org/10.1016/S0168-2024(97)80007-0
Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems
Xiao-liang Cheng, Weimin Han and Hong-ci HuangJournal of Computational and Applied Mathematics 79 (2) 215 (1997)
https://doi.org/10.1016/S0377-0427(97)00159-3
Mathematical Elasticity - Volume II: Theory of Plates
Studies in Mathematics and Its Applications, Mathematical Elasticity - Volume II: Theory of Plates 27 451 (1997)https://doi.org/10.1016/S0168-2024(97)80012-4
Multigrid methods for parameter dependent problems
Susanne C. BrennerESAIM: Mathematical Modelling and Numerical Analysis 30 (3) 265 (1996)
https://doi.org/10.1051/m2an/1996300302651
Stability of saddle point problems with penalty
Dietrich BraessESAIM: Mathematical Modelling and Numerical Analysis 30 (6) 731 (1996)
https://doi.org/10.1051/m2an/1996300607311