Some nonconforming finite elements for the plate bending problem
R.A.I.R.O. Analyse Numérique, 9 R1 (1975) 9-53
Published online: 2017-02-01
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):
A difference finite element method based on nonconforming finite element methods for 3D elliptic problems
Jianjian Song, Dongwoo Sheen, Xinlong Feng and Yinnian HeAdvances in Computational Mathematics 51 (1) (2025)
https://doi.org/10.1007/s10444-025-10219-x
A Survey of Smooth Vector Graphics: Recent Advances in Repr esentation, Creation, Rasterization, and Image Vectorization
Xingze Tian and Tobias GüntherIEEE Transactions on Visualization and Computer Graphics 30 (3) 1652 (2024)
https://doi.org/10.1109/TVCG.2022.3220575
A 𝐶1-𝑃7 Bell Finite Element on Triangle
Xuejun Xu and Shangyou ZhangComputational Methods in Applied Mathematics 24 (4) 995 (2024)
https://doi.org/10.1515/cmam-2023-0068
High Accuracy Analysis of the Reduced Adini Stokes Element for the Brinkman Model
X. ZhouNumerical Analysis and Applications 17 (4) 372 (2024)
https://doi.org/10.1134/S1995423924040062
Numerical solution to the linearized model of a clamped-free plate using nonconforming finite elements
Katarzyna SzulcEvolution Equations and Control Theory (2023)
https://doi.org/10.3934/eect.2023020
Solving a Class of High-Order Elliptic PDEs Using Deep Neural Networks Based on Its Coupled Scheme
Xi’an Li, Jinran Wu, Lei Zhang and Xin TaiMathematics 10 (22) 4186 (2022)
https://doi.org/10.3390/math10224186
Conforming and nonconforming finite element methods for biharmonic inverse source problem
M Thamban Nair and Devika ShylajaInverse Problems 38 (2) 025001 (2022)
https://doi.org/10.1088/1361-6420/ac3ec5
An efficient finite element method and error analysis for fourth order problems in a spherical domain
Na Peng, Jiayu Han and Jing AnDiscrete and Continuous Dynamical Systems - B 27 (11) 6807 (2022)
https://doi.org/10.3934/dcdsb.2022021
NUMERICAL APPROXIMATION OF THE ELLIPTIC EIGENVALUE PROBLEM BY STABILIZED NONCONFORMING FINITE ELEMENT METHOD
Zhifeng Weng, Shuying Zhai, Yuping Zeng and Xiaoqiang YueJournal of Applied Analysis & Computation 11 (3) 1161 (2021)
https://doi.org/10.11948/20200025
An Optimal Multilevel Method with One Smoothing Step for the Morley Element
Shibing Tang and Xuejun XuComputational Methods in Applied Mathematics 21 (3) 609 (2021)
https://doi.org/10.1515/cmam-2020-0061
Bending of Nonconforming Thin Plates Based on the Mixed‐Order Manifold Method with Background Cells for Integration
Xin Qu, Lijun Su, Zhijun Liu, Xingqian Xu, Fangfang Diao, Wei Li and Georgios I. GiannopoulosAdvances in Materials Science and Engineering 2020 (1) (2020)
https://doi.org/10.1155/2020/6681214
Bending of nonconforming thin plates based on the first-order manifold method
Xin Qu, Fangfang Diao, Xingqian Xu and Wei LiJournal of Mechanics of Materials and Structures 15 (3) 325 (2020)
https://doi.org/10.2140/jomms.2020.15.325
A High-Order Kernel-Free Boundary Integral Method for the Biharmonic Equation on Irregular Domains
Yaning Xie, Wenjun Ying and Wei-Cheng WangJournal of Scientific Computing 80 (3) 1681 (2019)
https://doi.org/10.1007/s10915-019-01000-6
Multigrid Methods for Hellan–Herrmann–Johnson Mixed Method of Kirchhoff Plate Bending Problems
Long Chen, Jun Hu and Xuehai HuangJournal of Scientific Computing 76 (2) 673 (2018)
https://doi.org/10.1007/s10915-017-0636-z
Piecewise divergence‐free discontinuous Galerkin methods for Stokes flow
Peter Hansbo and Mats G. LarsonCommunications in Numerical Methods in Engineering 24 (5) 355 (2008)
https://doi.org/10.1002/cnm.975
Nonconforming Finite Element Methods for a Clamped Plate with Elastic Unilateral Obstacle
Weimin Han, Dongying Hua and Lieheng WangJournal of Integral Equations and Applications 18 (2) (2006)
https://doi.org/10.1216/jiea/1181075382
Convergence and superconvergence of a nonconforming finite element method for the Stokes problem
S. P. Mao and S. ChenJournal of Numerical Mathematics 14 (2) (2006)
https://doi.org/10.1515/156939506777443022
The Morley element for fourth order elliptic equations in any dimensions
Wang Ming and Jinchao XuNumerische Mathematik 103 (1) 155 (2006)
https://doi.org/10.1007/s00211-005-0662-x
Energy‐adjustable mechanism of the combined hybrid finite element method and improvement of Zienkiewicz's plate‐element
Xiao‐ping Xie and Jian‐cheng HuCommunications in Numerical Methods in Engineering 21 (10) 531 (2005)
https://doi.org/10.1002/cnm.766
Accuracy Analysis of the Adini Element for Biharmonic Equation
Ping Luo and Qun LinActa Mathematica Sinica, English Series 20 (1) 135 (2004)
https://doi.org/10.1007/s10114-004-0317-3
On the Numerical Modeling of Deformations of Pressurized Martensitic Thin Films
Pavel Bělík, Timothy Brule and Mitchell LuskinESAIM: Mathematical Modelling and Numerical Analysis 35 (3) 525 (2001)
https://doi.org/10.1051/m2an:2001101
Finite Elemente
Klaus Knothe and Heribert WesselsFinite Elemente 299 (1999)
https://doi.org/10.1007/978-3-662-07235-6_9
Convergence of nonconforming multigrid methods without full elliptic regularity
Susanne BrennerMathematics of Computation 68 (225) 25 (1999)
https://doi.org/10.1090/S0025-5718-99-01035-2
Extension theorems for plate elements with applications
Jinsheng Gu and Xiancheng HuMathematics of Computation 66 (220) 1375 (1997)
https://doi.org/10.1090/S0025-5718-97-00903-4
Analysis of a class of nonconforming finite elements for crystalline microstructures
Petr Kloucek, Bo Li and Mitchell LuskinMathematics of Computation 65 (215) 1111 (1996)
https://doi.org/10.1090/S0025-5718-96-00735-1
Approximation of the vector potential for viscous incompressible flow via the constant stress finite element
Vitoriano RuasJapan Journal of Applied Mathematics 7 (2) 345 (1990)
https://doi.org/10.1007/BF03167848
Approximation of a fourth order variational inequality
M. I. ComodiESAIM: Mathematical Modelling and Numerical Analysis 20 (1) 5 (1986)
https://doi.org/10.1051/m2an/1986200100051
Tenth International Conference on Numerical Methods in Fluid Dynamics
V. RuasLecture Notes in Physics, Tenth International Conference on Numerical Methods in Fluid Dynamics 264 538 (1986)
https://doi.org/10.1007/BFb0041846
Basic compactness properties of nonconforming and hybrid finite element spaces
Friedrich StummelRAIRO. Analyse numérique 14 (1) 81 (1980)
https://doi.org/10.1051/m2an/1980140100811
On nonconforming an mixed finite element methods for plate bending problems. The linear case
Rolf RannacherRAIRO. Analyse numérique 13 (4) 369 (1979)
https://doi.org/10.1051/m2an/1979130403691