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):

Validation of recipes for the recovery of stresses and derivatives by a computer-based approach

I. Babuška, T. Strouboulis, S.K. Gangaraj and C.S. Upadhyay
Mathematical and Computer Modelling 20 (6) 45 (1994)
DOI: 10.1016/0895-7177(94)90023-X
See this article

On the asymptotic exactness of error estimators based on the equilibrated residual method for quadrilateral finite elements

Lijun Yi
Applied Numerical Mathematics 62 (12) 1925 (2012)
DOI: 10.1016/j.apnum.2012.07.007
See this article

Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis

Mukesh Kumar, Trond Kvamsdal and Kjetil André Johannessen
Computer Methods in Applied Mechanics and Engineering 316 1086 (2017)
DOI: 10.1016/j.cma.2016.11.014
See this article

η%-Superconvergence in the interior of locally refined meshes of quadrilaterals: superconvergence of the gradient in finite element solutions of Laplace's and Poisson's equations

I. Babuška, T. Strouboulis, S.K. Gangaraj and C.S. Upadhyay
Applied Numerical Mathematics 16 (1-2) 3 (1994)
DOI: 10.1016/0168-9274(94)00029-8
See this article

Equadiff 6

M. Křížek
Lecture Notes in Mathematics, Equadiff 6 1192 315 (1986)
DOI: 10.1007/BFb0076087
See this article

A nonstandard linear finite element method for a planar elasticity problem

S. Barbeiro and J.A. Ferreira
Applied Numerical Mathematics 37 (3) 331 (2001)
DOI: 10.1016/S0168-9274(00)00050-7
See this article

L 2 error estimates and superconvergence of the finite volume element methods on quadrilateral meshes

Junliang Lv and Yonghai Li
Advances in Computational Mathematics 37 (3) 393 (2012)
DOI: 10.1007/s10444-011-9215-2
See this article

Finite Element Methods (Part 1)

Lars B. Wahlbin
Handbook of Numerical Analysis, Finite Element Methods (Part 1) 2 353 (1991)
DOI: 10.1016/S1570-8659(05)80040-7
See this article

Finite Element Methods (Part 1)

P.G. Ciarlet
Handbook of Numerical Analysis, Finite Element Methods (Part 1) 2 17 (1991)
DOI: 10.1016/S1570-8659(05)80039-0
See this article

Superconvergence of the gradient of Galerkin approximations for elliptic problems

Mitsuhiro T. Nakao
Journal of Computational and Applied Mathematics 20 341 (1987)
DOI: 10.1016/0377-0427(87)90151-8
See this article

Supraconvergent cell-centered scheme for two dimensional elliptic problems

S. Barbeiro
Applied Numerical Mathematics 59 (1) 56 (2009)
DOI: 10.1016/j.apnum.2007.11.021
See this article

An improved superconvergent patch recovery technique for the axisymmetrical problems

A.A. Yazdani, A. Gakwaya and G. Dhatt
Computers & Structures 66 (6) 799 (1998)
DOI: 10.1016/S0045-7949(98)00009-1
See this article

On the supraconvergence of elliptic finite difference schemes

J.A. Ferreira and R.D. Grigorieff
Applied Numerical Mathematics 28 (2-4) 275 (1998)
DOI: 10.1016/S0168-9274(98)00048-8
See this article

Superconvergence in the projected-shear plate-bending finite element method

Zhimin Zhang
Numerical Methods for Partial Differential Equations 14 (3) 367 (1998)
DOI: 10.1002/(SICI)1098-2426(199805)14:3<367::AID-NUM6>3.0.CO;2-K
See this article

Analysis of a class of superconvergence patch recovery techniques for linear and bilinear finite elements

Bo Li and Zhimin Zhang
Numerical Methods for Partial Differential Equations 15 (2) 151 (1999)
DOI: 10.1002/(SICI)1098-2426(199903)15:2<151::AID-NUM2>3.0.CO;2-O
See this article

Mathematical analysis of Zienkiewicz—Zhu's derivative patch recovery technique

Zhimin Zhang
Numerical Methods for Partial Differential Equations 12 (4) 507 (1996)
DOI: 10.1002/(SICI)1098-2426(199607)12:4<507::AID-NUM6>3.0.CO;2-Q
See this article

On finite element approximation of the gradient for solution of Poisson equation

P. Neittaanm�ki and J. Saranen
Numerische Mathematik 37 (3) 333 (1981)
DOI: 10.1007/BF01400312
See this article

Superconvergence of the gradient of Galerkin approximations for elliptic problems

Mitsuhiro T. Nakao
ESAIM: Mathematical Modelling and Numerical Analysis 21 (4) 679 (1987)
DOI: 10.1051/m2an/1987210406791
See this article

On superconvergence of isoparametric bilinear finite elements

Lin Zhang and Likang Li
Communications in Numerical Methods in Engineering 12 (12) 849 (1996)
DOI: 10.1002/(SICI)1099-0887(199612)12:12<849::AID-CNM25>3.0.CO;2-N
See this article

The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique

O. C. Zienkiewicz and J. Z. Zhu
International Journal for Numerical Methods in Engineering 33 (7) 1331 (1992)
DOI: 10.1002/nme.1620330702
See this article

Superconvergence recovery technique anda posteriori error estimators

J. Z. Zhu and O. C. Zienkiewicz
International Journal for Numerical Methods in Engineering 30 (7) 1321 (1990)
DOI: 10.1002/nme.1620300707
See this article

Higher-order gradient post-processings for second-order elliptic problems

Abimael F.D. Loula, Fernando A. Rochinha and Márcio A. Murad
Computer Methods in Applied Mechanics and Engineering 128 (3-4) 361 (1995)
DOI: 10.1016/0045-7825(95)00885-3
See this article

L∞ ERROR ESTIMATES AND SUPERCONVERGENCE RESULTS FOR A COLLOCATION-H-1-GALERKIN METHOD FOR ELLIPTIC EQUATIONS

Mitsuhiro T. NAKAO
Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics 39 (1) 1 (1985)
DOI: 10.2206/kyushumfs.39.1
See this article

Finite element derivative recovery by moving least square interpolants

Mazen Tabbara, Ted Blacker and Ted Belytschko
Computer Methods in Applied Mechanics and Engineering 117 (1-2) 211 (1994)
DOI: 10.1016/0045-7825(94)90084-1
See this article

Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximations

M. F. Wheeler and J. R. Whiteman
Numerical Methods for Partial Differential Equations 3 (4) 357 (1987)
DOI: 10.1002/num.1690030407
See this article

Lagrange interpolation and finite element superconvergence

Bo Li
Numerical Methods for Partial Differential Equations 20 (1) 33 (2004)
DOI: 10.1002/num.10078
See this article

η%-Superconvergence of finite element approximations in the interior of general meshes of triangles

I. Babuška, T. Strouboulis and C.S. Upadhyay
Computer Methods in Applied Mechanics and Engineering 122 (3-4) 273 (1995)
DOI: 10.1016/0045-7825(94)00716-Z
See this article

The performance of Bank-Weiser's error estimator for quadrilateral finite elements

Mark Ainsworth
Numerical Methods for Partial Differential Equations 10 (5) 609 (1994)
DOI: 10.1002/num.1690100508
See this article

Derivative superconvergence of rectangular finite elements for the Reissner-Mindlin plate

Zhimin Zhang and Shangyou Zhang
Computer Methods in Applied Mechanics and Engineering 134 (1-2) 1 (1996)
DOI: 10.1016/0045-7825(96)01025-0
See this article

On superconvergence techniques

Michal Křížek and Pekka Neittaanmäki
Acta Applicandae Mathematicae 9 (3) 175 (1987)
DOI: 10.1007/BF00047538
See this article

Superconvergence of High Order Finite Difference Schemes Based on Variational Formulation for Elliptic Equations

Hao Li and Xiangxiong Zhang
Journal of Scientific Computing 82 (2) (2020)
DOI: 10.1007/s10915-020-01144-w
See this article

Superconvergence phenomenon in the finite element method arising from averaging gradients

Michal Křížek and Pekka Neittaanmäki
Numerische Mathematik 45 (1) 105 (1984)
DOI: 10.1007/BF01379664
See this article

Superconvergence of the gradient for quadratic triangular finite elements

A. B. Andreev and Raičo D. Lazarov
Numerical Methods for Partial Differential Equations 4 (1) 15 (1988)
DOI: 10.1002/num.1690040103
See this article

Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximations

M. F. Wheeler and J. R. Whiteman
Numerical Methods for Partial Differential Equations 3 (1) 65 (1987)
DOI: 10.1002/num.1690030106
See this article

Natural and postprocessed superconvergence in semilinear problems

S.-S. Chow, G. F. Carey and R. D. Lazarov
Numerical Methods for Partial Differential Equations 7 (3) 245 (1991)
DOI: 10.1002/num.1690070304
See this article

On the superconvergence of the Satisfying-Babuska-Brezzi method

Leopoldo P. Franca
International Journal for Numerical Methods in Engineering 29 (8) 1715 (1990)
DOI: 10.1002/nme.1620290807
See this article

A posteriori error estimation in finite element analysis

Mark Ainsworth and J.Tinsley Oden
Computer Methods in Applied Mechanics and Engineering 142 (1-2) 1 (1997)
DOI: 10.1016/S0045-7825(96)01107-3
See this article

Recovery-based error estimators for the VEM and BEM-based FEM

Daniel Seibel and Steffen Weißer
Computers & Mathematics with Applications 80 (9) 2073 (2020)
DOI: 10.1016/j.camwa.2020.09.004
See this article

Convergence of the Combination Technique for Second-Order Elliptic Differential Equations

Christoph Pflaum
SIAM Journal on Numerical Analysis 34 (6) 2431 (1997)
DOI: 10.1137/S0036142993260294
See this article

Adaptivity and mesh generation

O. C. Zienkiewicz and J. Z. Zhu
International Journal for Numerical Methods in Engineering 32 (4) 783 (1991)
DOI: 10.1002/nme.1620320409
See this article

Superconvergence in the generalized finite element method

Ivo Babuška, Uday Banerjee and John E. Osborn
Numerische Mathematik 107 (3) 353 (2007)
DOI: 10.1007/s00211-007-0096-8
See this article

A posteriori error estimators in the finite element method

Mark Ainsworth and Alan Craig
Numerische Mathematik 60 (1) 429 (1991)
DOI: 10.1007/BF01385730
See this article

Superconvergence of $$C^0$$-$$Q^k$$ Finite Element Method for Elliptic Equations with Approximated Coefficients

Hao Li and Xiangxiong Zhang
Journal of Scientific Computing 82 (1) (2020)
DOI: 10.1007/s10915-019-01102-1
See this article

On mixed finite element formulations and stress recovery techniques

Alejandro Mota and John F. Abel
International Journal for Numerical Methods in Engineering 47 (1-3) 191 (2000)
DOI: 10.1002/(SICI)1097-0207(20000110/30)47:1/3<191::AID-NME767>3.0.CO;2-S
See this article

Error estimation and adaptive procedures based on superconvergent patch recovery (SPR) techniques

N. E. Wiberg, F. Abdulwahab and X. D. Li
Archives of Computational Methods in Engineering 4 (3) 203 (1997)
DOI: 10.1007/BF02913818
See this article

Superconvergent extraction techniques for finite element analysis

Qingxiang Niu and Mark S. Shephard
International Journal for Numerical Methods in Engineering 36 (5) 811 (1993)
DOI: 10.1002/nme.1620360507
See this article

Computer-based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace's, Poisson's, and the elasticity equations

I. Babuška, T. Strouboulis, C. S. Upadhyay and S. K. Gangaraj
Numerical Methods for Partial Differential Equations 12 (3) 347 (1996)
DOI: 10.1002/num.1690120303
See this article

Asymptotically Exact Error Estimators for Rectangular Finite Elements

Ricardo Duran, Maria Amelia Muschietti and Rodolfo Rodriguez
SIAM Journal on Numerical Analysis 29 (1) 78 (1992)
DOI: 10.1137/0729005
See this article

Adaptive flux-based nodeless variable finite element formulation with error estimation for thermal-structural analysis

S Traivivatana, S Phongthanapanich and P Dechaumphai
IOP Conference Series: Materials Science and Engineering 88 012007 (2015)
DOI: 10.1088/1757-899X/88/1/012007
See this article