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):

Staggered Taylor–Hood and Fortin elements for Stokes equations of pressure boundary conditions in Lipschitz domain

Zhijie Du, Huoyuan Duan and Wei Liu
Numerical Methods for Partial Differential Equations 36 (1) 185 (2020)
DOI: 10.1002/num.22425
See this article

A two-energies principle for the biharmonic equation and ana posteriorierror estimator for an interior penalty discontinuous Galerkin approximation

Dietrich Braess, R.H.W. Hoppe and Christopher Linsenmann
ESAIM: Mathematical Modelling and Numerical Analysis 52 (6) 2479 (2018)
DOI: 10.1051/m2an/2016074
See this article

Susanne C. Brenner and Carsten Carstensen
DOI: 10.1002/0470091355.ecm003
See this article

A medius error analysis for nonconforming virtual element methods for Poisson and biharmonic equations

Jianguo Huang and Yue Yu
Journal of Computational and Applied Mathematics 386 113229 (2021)
DOI: 10.1016/
See this article

A Mixed Method for Maxwell Eigenproblem

Zhijie Du and Huoyuan Duan
Journal of Scientific Computing 82 (1) (2020)
DOI: 10.1007/s10915-019-01111-0
See this article

Cr rational splines over a triangulation

J.C. Koua Brou and A. Le Méhauté
Journal of Mathematical Analysis and Applications 356 (2) 429 (2009)
DOI: 10.1016/j.jmaa.2009.03.004
See this article

Susanne C. Brenner and Carsten Carstensen
1 (2017)
DOI: 10.1002/9781119176817.ecm2003
See this article

Explicit multistep methods for nonstiff partial differential equations

Panagiotis Chatzipantelidis
Applied Numerical Mathematics 27 (1) 13 (1998)
DOI: 10.1016/S0168-9274(97)00112-8
See this article

A family of higher order mixed finite element methods for plane elasticity

Douglas N. Arnold, Jim Douglas and Chaitan P. Gupta
Numerische Mathematik 45 (1) 1 (1984)
DOI: 10.1007/BF01379659
See this article

New Mixed Elements for Maxwell Equations

Huoyuan Duan, Zhijie Du, Wei Liu and Shangyou Zhang
SIAM Journal on Numerical Analysis 57 (1) 320 (2019)
DOI: 10.1137/18M1168054
See this article

C1-curved finite elements and applications to plate and shell problems

M. Bernadou
Journal of Computational and Applied Mathematics 50 (1-3) 133 (1994)
DOI: 10.1016/0377-0427(94)90295-X
See this article

A $$C^0$$ C 0 -Weak Galerkin Finite Element Method for the Biharmonic Equation

Lin Mu, Junping Wang, Xiu Ye and Shangyou Zhang
Journal of Scientific Computing 59 (2) 473 (2014)
DOI: 10.1007/s10915-013-9770-4
See this article

Discrete Miranda–Talenti estimates and applications to linear and nonlinear PDEs

Michael Neilan and Mohan Wu
Journal of Computational and Applied Mathematics 356 358 (2019)
DOI: 10.1016/
See this article

Conforming and nonconforming finite element methods for biharmonic inverse source problem

M Thamban Nair and Devika Shylaja
Inverse Problems 38 (2) 025001 (2022)
DOI: 10.1088/1361-6420/ac3ec5
See this article

Hermitian finite element complementing the Bogner–Fox–Schmit rectangle near curvilinear boundary

B. Dobronets and V. Shaydurov
Lobachevskii Journal of Mathematics 37 (5) 527 (2016)
DOI: 10.1134/S1995080216050036
See this article

Residual-Based A Posteriori Error Estimates for $hp$-Discontinuous Galerkin Discretizations of the Biharmonic Problem

Zhaonan Dong, Lorenzo Mascotto and Oliver J. Sutton
SIAM Journal on Numerical Analysis 59 (3) 1273 (2021)
DOI: 10.1137/20M1364114
See this article

A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids

Jun Hu, Rui Ma and Min Zhang
Science China Mathematics 64 (12) 2793 (2021)
DOI: 10.1007/s11425-020-1883-9
See this article

An optimal order multigrid method for biharmonic,C 1 finite element equations

Shangyou Zhang
Numerische Mathematik 56 (6) 613 (1989)
DOI: 10.1007/BF01396347
See this article

A family of optimal Lagrange elements for Maxwell’s equations

Huoyuan Duan, Wei Liu, Junhua Ma, Roger C.E. Tan and Shangyou Zhang
Journal of Computational and Applied Mathematics 358 241 (2019)
DOI: 10.1016/
See this article

Convergence of Adaptive Discontinuous Galerkin and $$C^0$$-Interior Penalty Finite Element Methods for Hamilton–Jacobi–Bellman and Isaacs Equations

Ellya L. Kawecki and Iain Smears
Foundations of Computational Mathematics (2021)
DOI: 10.1007/s10208-021-09493-0
See this article

A hierarchic family of conforming finite elements for the solution of plate bending problems

C. Chinosi, G. Sacchi and T. Scapolla
Computer Methods in Applied Mechanics and Engineering 80 (1-3) 327 (1990)
DOI: 10.1016/0045-7825(90)90037-M
See this article

Some estimates of virtual element methods for fourth order problems

Qingguang Guan
Electronic Research Archive 29 (6) 4099 (2021)
DOI: 10.3934/era.2021074
See this article

Richard S. Falk
1939 159 (2008)
DOI: 10.1007/978-3-540-78319-0_4
See this article

Adaptive First-Order System Least-Squares Finite Element Methods for Second-Order Elliptic Equations in Nondivergence Form

Weifeng Qiu and Shun Zhang
SIAM Journal on Numerical Analysis 58 (6) 3286 (2020)
DOI: 10.1137/19M1271099
See this article

Polynomial approximation of functions in Sobolev spaces

Todd Dupont and Ridgway Scott
Mathematics of Computation 34 (150) 441 (1980)
DOI: 10.1090/S0025-5718-1980-0559195-7
See this article

Two-Level Additive Schwarz Methods for Discontinuous Galerkin Approximations of the Biharmonic Equation

O. Karakashian and C. Collins
Journal of Scientific Computing 74 (1) 573 (2018)
DOI: 10.1007/s10915-017-0453-4
See this article

Improved L 2 and H 1 error estimates for the Hessian discretization method

Devika Shylaja
Numerical Methods for Partial Differential Equations 36 (5) 972 (2020)
DOI: 10.1002/num.22460
See this article

Analysis of an interior penalty DG method for the quad-curl problem

Gang Chen, Weifeng Qiu and Liwei Xu
IMA Journal of Numerical Analysis 41 (4) 2990 (2021)
DOI: 10.1093/imanum/draa034
See this article

A family of 3D continuously differentiable finite elements on tetrahedral grids

Shangyou Zhang
Applied Numerical Mathematics 59 (1) 219 (2009)
DOI: 10.1016/j.apnum.2008.02.002
See this article

Analysis of discontinuous Galerkin methods using mesh-dependent norms and applications to problems with rough data

Emmanuil H. Georgoulis and Tristan Pryer
Calcolo 54 (4) 1533 (2017)
DOI: 10.1007/s10092-017-0240-5
See this article

Generalized finite element systems for smooth differential forms and Stokes’ problem

Snorre H. Christiansen and Kaibo Hu
Numerische Mathematik 140 (2) 327 (2018)
DOI: 10.1007/s00211-018-0970-6
See this article

Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-divergence Form Elliptic PDEs

Xiaobing Feng, Michael Neilan and Stefan Schnake
Journal of Scientific Computing 74 (3) 1651 (2018)
DOI: 10.1007/s10915-017-0519-3
See this article

A new P1 weak Galerkin method for the Biharmonic equation

Xiu Ye, Shangyou Zhang and Zhimin Zhang
Journal of Computational and Applied Mathematics 364 112337 (2020)
DOI: 10.1016/
See this article

The Hessian Discretisation Method for Fourth Order Linear Elliptic Equations

Jérôme Droniou, Bishnu P. Lamichhane and Devika Shylaja
Journal of Scientific Computing 78 (3) 1405 (2019)
DOI: 10.1007/s10915-018-0814-7
See this article

Numerical methods for the rosenau equation

Sank K. Chunk and Amiya K. Pani
Applicable Analysis 77 (3-4) 351 (2001)
DOI: 10.1080/00036810108840914
See this article

Pointwise error estimates for 𝐶⁰ interior penalty approximation of biharmonic problems

D. Leykekhman
Mathematics of Computation 90 (327) 41 (2020)
DOI: 10.1090/mcom/3596
See this article