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:
Jim Jr. Douglas , Todd Dupont , Peter Percell , Ridgway Scott
RAIRO. Anal. numér., 13 3 (1979) 227-255
Published online: 2017-02-01
This article has been cited by the following article(s):
59 articles
Anisotropic error analysis of weak Galerkin finite element method for singularly perturbed biharmonic problems
Aayushman Raina, Srinivasan Natesan and Şuayip Toprakseven Mathematics and Computers in Simulation 229 203 (2025) https://doi.org/10.1016/j.matcom.2024.09.017
A decoupled nonconforming finite element method for biharmonic equation in three dimensions
Xuewei Cui and Xuehai Huang Applied Numerical Mathematics 212 300 (2025) https://doi.org/10.1016/j.apnum.2025.02.012
A C1 simplex-spline basis for the Alfeld split in Rs
Tom Lyche, Jean-Louis Merrien and Hendrik Speleers Computer Aided Geometric Design 117 102412 (2025) https://doi.org/10.1016/j.cagd.2025.102412
Four-order superconvergent CDG finite elements for the biharmonic equation on triangular meshes
Xiu Ye and Shangyou Zhang Journal of Computational and Applied Mathematics 440 115516 (2024) https://doi.org/10.1016/j.cam.2023.115516
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form
Ngoc Tien Tran Mathematics of Computation (2024) https://doi.org/10.1090/mcom/3966
A posteriori error estimates for nonconforming discretizations of singularly perturbed biharmonic operators
Dietmar Gallistl and Shudan Tian The SMAI Journal of computational mathematics 10 355 (2024) https://doi.org/10.5802/smai-jcm.115
Convergence of an adaptive C0-interior penalty Galerkin method for the biharmonic problem
Alexander Dominicus, Fernando D Gaspoz and Christian Kreuzer IMA Journal of Numerical Analysis (2024) https://doi.org/10.1093/imanum/drae069
A 𝐶1-𝑃7 Bell Finite Element on Triangle
Xuejun Xu and Shangyou Zhang Computational Methods in Applied Mathematics 24 (4) 995 (2024) https://doi.org/10.1515/cmam-2023-0068
Kaibo Hu 60 231 (2024) https://doi.org/10.1007/978-981-97-6508-9_11
C
0-hybrid high-order methods for biharmonic problems
Zhaonan Dong and Alexandre Ern IMA Journal of Numerical Analysis 44 (1) 24 (2024) https://doi.org/10.1093/imanum/drad003
Continuous interior penalty stabilization for divergence-free finite element methods
Gabriel R Barrenechea, Erik Burman, Ernesto Cáceres and Johnny Guzmán IMA Journal of Numerical Analysis 44 (2) 980 (2024) https://doi.org/10.1093/imanum/drad030
Three families of $$C^1$$-$$P_{2m+1}$$ Bell finite elements on triangular meshes
Xuejun Xu and Shangyou Zhang Numerical Algorithms (2024) https://doi.org/10.1007/s11075-024-01894-w
A stable and $$H^1$$-conforming divergence-free finite element pair for the Stokes problem using isoparametric mappings
Michael Neilan and M. Baris Otus Calcolo 60 (3) (2023) https://doi.org/10.1007/s10092-023-00531-7
An adaptive C0 Interior Penalty Discontinuous Galerkin method and an equilibrated a posteriori error estimator for the von Kármán equations
R.H.W. Hoppe Applied Numerical Mathematics 190 27 (2023) https://doi.org/10.1016/j.apnum.2023.01.004
Stability of systems governed by elliptic partial differential equations
Wenbing Wu Journal of Differential Equations 370 271 (2023) https://doi.org/10.1016/j.jde.2023.06.020
A space-time adaptive discontinuous Galerkin method for the numerical solution of the dynamic quasi-static von Kármán equations
R.H.W. Hoppe Computers & Mathematics with Applications 132 32 (2023) https://doi.org/10.1016/j.camwa.2022.12.005
$$hp$$-Optimal Interior Penalty Discontinuous Galerkin Methods for the Biharmonic Problem
Z. Dong and L. Mascotto Journal of Scientific Computing 96 (1) (2023) https://doi.org/10.1007/s10915-023-02253-y
The interior penalty virtual element method for the biharmonic problem
Jikun Zhao, Shipeng Mao, Bei Zhang and Fei Wang Mathematics of Computation 92 (342) 1543 (2023) https://doi.org/10.1090/mcom/3828
A family of H-div-div mixed triangular finite elements for the biharmonic equation
Xiu Ye and Shangyou Zhang Results in Applied Mathematics 15 100318 (2022) https://doi.org/10.1016/j.rinam.2022.100318
Generalized C1 Clough–Tocher splines for CAGD and FEM
Jan Grošelj and Marjeta Knez Computer Methods in Applied Mechanics and Engineering 395 114983 (2022) https://doi.org/10.1016/j.cma.2022.114983
A C0 Interior Penalty Discontinuous Galerkin Method and an equilibrated a posteriori error estimator for a nonlinear fourth order elliptic boundary value problem of p-biharmonic type
Ronald H.W. Hoppe ESAIM: Mathematical Modelling and Numerical Analysis 56 (6) 2051 (2022) https://doi.org/10.1051/m2an/2022058
Exact sequences on Worsey–Farin splits
Johnny Guzmán, Anna Lischke and Michael Neilan Mathematics of Computation (2022) https://doi.org/10.1090/mcom/3746
Conforming and nonconforming finite element methods for biharmonic inverse source problem
M Thamban Nair and Devika Shylaja Inverse Problems 38 (2) 025001 (2022) https://doi.org/10.1088/1361-6420/ac3ec5
A posteriori error estimation for a C1 virtual element method of Kirchhoff plates
Mingqing Chen, Jianguo Huang and Sen Lin Computers & Mathematics with Applications 120 132 (2022) https://doi.org/10.1016/j.camwa.2022.05.001
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 22 (2) 315 (2022) https://doi.org/10.1007/s10208-021-09493-0
Some estimates of virtual element methods for fourth order problems
Qingguang Guan Electronic Research Archive 29 (6) 4099 (2021) https://doi.org/10.3934/era.2021074
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) https://doi.org/10.1016/j.cam.2020.113229
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) https://doi.org/10.1137/20M1364114
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) https://doi.org/10.1007/s11425-020-1883-9
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) https://doi.org/10.1093/imanum/draa034
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) https://doi.org/10.1016/j.cam.2019.07.002
Pointwise error estimates for 𝐶⁰ interior penalty approximation of biharmonic problems
D. Leykekhman Mathematics of Computation 90 (327) 41 (2020) https://doi.org/10.1090/mcom/3596
Improved L2 and H1 error estimates for the Hessian discretization method
Devika Shylaja Numerical Methods for Partial Differential Equations 36 (5) 972 (2020) https://doi.org/10.1002/num.22460
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) https://doi.org/10.1002/num.22425
A Mixed Method for Maxwell Eigenproblem
Zhijie Du and Huoyuan Duan Journal of Scientific Computing 82 (1) (2020) https://doi.org/10.1007/s10915-019-01111-0
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) https://doi.org/10.1137/19M1271099
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) https://doi.org/10.1007/s10915-018-0814-7
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) https://doi.org/10.1016/j.cam.2019.03.022
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) https://doi.org/10.1016/j.cam.2019.01.032
New Mixed Elements for Maxwell Equations
Huoyuan Duan, Zhijie Du, Wei Liu and Shangyou Zhang SIAM Journal on Numerical Analysis 57 (1) 320 (2019) https://doi.org/10.1137/18M1168054
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) https://doi.org/10.1007/s10915-017-0519-3
Generalized finite element systems for smooth differential forms and Stokes’ problem
Snorre H. Christiansen and Kaibo Hu Numerische Mathematik 140 (2) 327 (2018) https://doi.org/10.1007/s00211-018-0970-6
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) https://doi.org/10.1007/s10915-017-0453-4
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) https://doi.org/10.1051/m2an/2016074
Susanne C. Brenner and Carsten Carstensen 1 (2017) https://doi.org/10.1002/9781119176817.ecm2003
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) https://doi.org/10.1007/s10092-017-0240-5
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) https://doi.org/10.1134/S1995080216050036
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) https://doi.org/10.1007/s10915-013-9770-4
A family of 3D continuously differentiable finite elements on tetrahedral grids
Shangyou Zhang Applied Numerical Mathematics 59 (1) 219 (2009) https://doi.org/10.1016/j.apnum.2008.02.002
Cr rational splines over a triangulation
J.C. Koua Brou and A. Le Méhauté Journal of Mathematical Analysis and Applications 356 (2) 429 (2009) https://doi.org/10.1016/j.jmaa.2009.03.004
Mixed Finite Elements, Compatibility Conditions, and Applications
Richard S. Falk Lecture Notes in Mathematics, Mixed Finite Elements, Compatibility Conditions, and Applications 1939 159 (2008) https://doi.org/10.1007/978-3-540-78319-0_4
Susanne C. Brenner and Carsten Carstensen (2004) https://doi.org/10.1002/0470091355.ecm003
Numerical methods for the rosenau equation
Sank K. Chunk and Amiya K. Pani Applicable Analysis 77 (3-4) 351 (2001) https://doi.org/10.1080/00036810108840914
Explicit multistep methods for nonstiff partial differential equations
Panagiotis Chatzipantelidis Applied Numerical Mathematics 27 (1) 13 (1998) https://doi.org/10.1016/S0168-9274(97)00112-8
C1-curved finite elements and applications to plate and shell problems
M. Bernadou Journal of Computational and Applied Mathematics 50 (1-3) 133 (1994) https://doi.org/10.1016/0377-0427(94)90295-X
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) https://doi.org/10.1016/0045-7825(90)90037-M
An optimal order multigrid method for biharmonic,C 1 finite element equations
Shangyou Zhang Numerische Mathematik 56 (6) 613 (1989) https://doi.org/10.1007/BF01396347
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) https://doi.org/10.1007/BF01379659
Polynomial approximation of functions in Sobolev spaces
Todd Dupont and Ridgway Scott Mathematics of Computation 34 (150) 441 (1980) https://doi.org/10.1090/S0025-5718-1980-0559195-7