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):

Residual based error estimate and quasi-interpolation on polygonal meshes for high order BEM-based FEM

Steffen Weißer
Computers & Mathematics with Applications 73 (2) 187 (2017)
DOI: 10.1016/j.camwa.2016.11.013
See this article

A posteriori error estimates for the virtual element method

Andrea Cangiani, Emmanuil H. Georgoulis, Tristan Pryer and Oliver J. Sutton
Numerische Mathematik 137 (4) 857 (2017)
DOI: 10.1007/s00211-017-0891-9
See this article

Asymptotic homogenization of fibre-reinforced composites: a virtual element method approach

Edoardo Artioli
Meccanica 53 (6) 1187 (2018)
DOI: 10.1007/s11012-018-0818-2
See this article

Some error analysis on virtual element methods

Long Chen and Jianguo Huang
Calcolo 55 (1) (2018)
DOI: 10.1007/s10092-018-0249-4
See this article

The nonconforming virtual element method for plate bending problems

Jikun Zhao, Shaochun Chen and Bei Zhang
Mathematical Models and Methods in Applied Sciences 26 (09) 1671 (2016)
DOI: 10.1142/S021820251650041X
See this article

A posteriori error estimation and adaptivity in hp virtual elements

L. Beirão da Veiga, G. Manzini and L. Mascotto
Numerische Mathematik 143 (1) 139 (2019)
DOI: 10.1007/s00211-019-01054-6
See this article

Discontinuous Galerkin method with arbitrary polygonal finite elements

J. Jaśkowiec, P. Pluciński and A. Stankiewicz
Finite Elements in Analysis and Design 120 1 (2016)
DOI: 10.1016/j.finel.2016.06.004
See this article

Superconvergent gradient recovery for virtual element methods

Hailong Guo, Cong Xie and Ren Zhao
Mathematical Models and Methods in Applied Sciences 29 (11) 2007 (2019)
DOI: 10.1142/S0218202519500386
See this article

A residual a posteriori error estimate for the Virtual Element Method

Stefano Berrone and Andrea Borio
Mathematical Models and Methods in Applied Sciences 27 (08) 1423 (2017)
DOI: 10.1142/S0218202517500233
See this article

Virtual element method for semilinear elliptic problems on polygonal meshes

D. Adak, S. Natarajan and E. Natarajan
Applied Numerical Mathematics 145 175 (2019)
DOI: 10.1016/j.apnum.2019.05.021
See this article

A Posteriori Error Estimates for the Virtual Element Method for the Stokes Problem

Gang Wang, Ying Wang and Yinnian He
Journal of Scientific Computing 84 (2) (2020)
DOI: 10.1007/s10915-020-01281-2
See this article

A least-squares virtual element method for second-order elliptic problems

Ying Wang and Gang Wang
Computers & Mathematics with Applications 80 (8) 1873 (2020)
DOI: 10.1016/j.camwa.2020.08.023
See this article

Virtual element method for second-order elliptic eigenvalue problems

Francesca Gardini and Giuseppe Vacca
IMA Journal of Numerical Analysis 38 (4) 2026 (2018)
DOI: 10.1093/imanum/drx063
See this article

A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows

Martin Vohralík and Soleiman Yousef
Computer Methods in Applied Mechanics and Engineering 331 728 (2018)
DOI: 10.1016/j.cma.2017.11.027
See this article

The Dual-Weighted Residual Estimator Realized on Polygonal Meshes

Steffen Weißer and Thomas Wick
Computational Methods in Applied Mathematics 18 (4) 753 (2018)
DOI: 10.1515/cmam-2017-0046
See this article

Error estimation and mesh adaptivity for the virtual element method based on recovery by compatibility in patches

Antonio Maria D'Altri, Stefano Miranda, Luca Patruno, Edoardo Artioli and Carlo Lovadina
International Journal for Numerical Methods in Engineering 121 (19) 4374 (2020)
DOI: 10.1002/nme.6438
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/j.cam.2020.113229
See this article

Numerical Mathematics and Advanced Applications ENUMATH 2017

Paola F. Antonietti, Stefano Berrone, Marco Verani and Steffen Weißer
Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2017 126 725 (2019)
DOI: 10.1007/978-3-319-96415-7_67
See this article

A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations

David Mora and Gonzalo Rivera
IMA Journal of Numerical Analysis (2018)
DOI: 10.1093/imanum/dry063
See this article

A simple and effective gradient recovery scheme and a posteriori error estimator for the Virtual Element Method (VEM)

Heng Chi, Lourenço Beirão da Veiga and Glaucio H. Paulino
Computer Methods in Applied Mechanics and Engineering 347 21 (2019)
DOI: 10.1016/j.cma.2018.08.014
See this article

Virtual element method for semilinear hyperbolic problems on polygonal meshes

Dibyendu Adak, E. Natarajan and Sarvesh Kumar
International Journal of Computer Mathematics 96 (5) 971 (2019)
DOI: 10.1080/00207160.2018.1475651
See this article

Virtual element method for nonlinear convection–diffusion–reaction equation on polygonal meshes

M. Arrutselvi and E. Natarajan
International Journal of Computer Mathematics 98 (9) 1852 (2021)
DOI: 10.1080/00207160.2020.1849637
See this article

Anisotropic polygonal and polyhedral discretizations in finite element analysis

Steffen Weißer
ESAIM: Mathematical Modelling and Numerical Analysis 53 (2) 475 (2019)
DOI: 10.1051/m2an/2018066
See this article

SUPG stabilization for the nonconforming virtual element method for advection–diffusion–reaction equations

S. Berrone, A. Borio and G. Manzini
Computer Methods in Applied Mechanics and Engineering 340 500 (2018)
DOI: 10.1016/j.cma.2018.05.027
See this article

A posteriori error analysis of a non-consistent virtual element method for reaction diffusion equations

Jianguo Huang and Sen Lin
Applied Mathematics Letters 122 107531 (2021)
DOI: 10.1016/j.aml.2021.107531
See this article

A posteriori error estimate for discontinuous Galerkin finite element method on polytopal mesh

Jintao Cui, Fuzheng Gao, Zhengjia Sun and Peng Zhu
Numerical Methods for Partial Differential Equations 36 (3) 601 (2020)
DOI: 10.1002/num.22443
See this article

The nonconforming Virtual Element Method for eigenvalue problems

Francesca Gardini, Gianmarco Manzini and Giuseppe Vacca
ESAIM: Mathematical Modelling and Numerical Analysis 53 (3) 749 (2019)
DOI: 10.1051/m2an/2018074
See this article

Virtual element method for a nonlocal elliptic problem of Kirchhoff type on polygonal meshes

D. Adak and S. Natarajan
Computers & Mathematics with Applications 79 (10) 2856 (2020)
DOI: 10.1016/j.camwa.2019.12.018
See this article

Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces

Elena Bachini, Gianmarco Manzini and Mario Putti
Calcolo 58 (3) (2021)
DOI: 10.1007/s10092-021-00418-5
See this article

A virtual element method for a nonlocal FitzHugh–Nagumo model of cardiac electrophysiology

Mauricio Sepúlveda, David Mora, Mostafa Bendahmane and Verónica Anaya
IMA Journal of Numerical Analysis 40 (2) 1544 (2020)
DOI: 10.1093/imanum/drz001
See this article

A New Hybrid Staggered Discontinuous Galerkin Method on General Meshes

Lina Zhao and Eun-Jae Park
Journal of Scientific Computing 82 (1) (2020)
DOI: 10.1007/s10915-019-01119-6
See this article

An adaptive curved virtual element method for the statistical homogenization of random fibre-reinforced composites

E. Artioli, L. Beirão da Veiga and M. Verani
Finite Elements in Analysis and Design 177 103418 (2020)
DOI: 10.1016/j.finel.2020.103418
See this article

A posteriori error analysis of a mixed virtual element method for a nonlinear Brinkman model of porous media flow

Mauricio Munar and Filánder A. Sequeira
Computers & Mathematics with Applications 80 (5) 1240 (2020)
DOI: 10.1016/j.camwa.2020.06.005
See this article

Least‐squares virtual element method for the convection‐diffusion‐reaction problem

Gang Wang, Ying Wang and Yinnian He
International Journal for Numerical Methods in Engineering 122 (11) 2672 (2021)
DOI: 10.1002/nme.6636
See this article

An a posteriori-driven adaptive Mixed High-Order method with application to electrostatics

Daniele A. Di Pietro and Ruben Specogna
Journal of Computational Physics 326 35 (2016)
DOI: 10.1016/j.jcp.2016.08.041
See this article

Error estimation for the polygonal finite element method for smooth and singular linear elasticity

Octavio A. González-Estrada, Sundararajan Natarajan, Juan José Ródenas and Stéphane P.A. Bordas
Computers & Mathematics with Applications 92 109 (2021)
DOI: 10.1016/j.camwa.2021.03.017
See this article

Virtual element approximation of two-dimensional parabolic variational inequalities

D. Adak, G. Manzini and S. Natarajan
Computers & Mathematics with Applications 116 48 (2022)
DOI: 10.1016/j.camwa.2021.09.007
See this article

Adaptive Virtual Element Method for Optimal Control Problem Governed by General Elliptic Equation

Qiming Wang and Zhaojie Zhou
Journal of Scientific Computing 88 (1) (2021)
DOI: 10.1007/s10915-021-01528-6
See this article

Polyhedral Methods in Geosciences

Dibyendu Adak, Gianmarco Manzini and Sundararajan Natarajan
SEMA SIMAI Springer Series, Polyhedral Methods in Geosciences 27 259 (2021)
DOI: 10.1007/978-3-030-69363-3_7
See this article

A posteriori error estimates for a Virtual Element Method for the Steklov eigenvalue problem

David Mora, Gonzalo Rivera and Rodolfo Rodríguez
Computers & Mathematics with Applications 74 (9) 2172 (2017)
DOI: 10.1016/j.camwa.2017.05.016
See this article

Adaptive virtual element methods with equilibrated fluxes

F. Dassi, J. Gedicke and L. Mascotto
Applied Numerical Mathematics 173 249 (2022)
DOI: 10.1016/j.apnum.2021.11.015
See this article

Virtual element stabilization of convection-diffusion equation with shock capturing

M. Arrutselvi and E. Natarajan
Journal of Physics: Conference Series 1850 (1) 012001 (2021)
DOI: 10.1088/1742-6596/1850/1/012001
See this article

A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem

Gianmarco Manzini and Annamaria Mazzia
Journal of Computational Dynamics 9 (2) 207 (2022)
DOI: 10.3934/jcd.2021020
See this article

A priori and a posteriori error analysis for virtual element discretization of elliptic optimal control problem

Qiming Wang and Zhaojie Zhou
Numerical Algorithms 90 (3) 989 (2022)
DOI: 10.1007/s11075-021-01219-1
See this article

A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations

Paola F. Antonietti, Gianmarco Manzini, Simone Scacchi and Marco Verani
Mathematical Models and Methods in Applied Sciences 31 (14) 2825 (2021)
DOI: 10.1142/S0218202521500627
See this article

The role of mesh quality and mesh quality indicators in the virtual element method

T. Sorgente, S. Biasotti, G. Manzini and M. Spagnuolo
Advances in Computational Mathematics 48 (1) (2022)
DOI: 10.1007/s10444-021-09913-3
See this article

Polyhedral mesh quality indicator for the Virtual Element Method

T. Sorgente, S. Biasotti, G. Manzini and M. Spagnuolo
Computers & Mathematics with Applications 114 151 (2022)
DOI: 10.1016/j.camwa.2022.03.042
See this article

Anisotropic a posteriori error estimate for the virtual element method

P F Antonietti, S Berrone, A Borio, A D’Auria, M Verani and S Weisser
IMA Journal of Numerical Analysis 42 (2) 1273 (2022)
DOI: 10.1093/imanum/drab001
See this article

A new quality preserving polygonal mesh refinement algorithm for Polygonal Element Methods

Stefano Berrone and Alessandro D’Auria
Finite Elements in Analysis and Design 207 103770 (2022)
DOI: 10.1016/j.finel.2022.103770
See this article

$ C^1 $-VEM for some variants of the Cahn-Hilliard equation: A numerical exploration

Paola F. Antonietti, Simone Scacchi, Giuseppe Vacca and Marco Verani
Discrete and Continuous Dynamical Systems - S 15 (8) 1919 (2022)
DOI: 10.3934/dcdss.2022038
See this article

Conforming virtual element approximations of the two-dimensional Stokes problem

Gianmarco Manzini and Annamaria Mazzia
Applied Numerical Mathematics 181 176 (2022)
DOI: 10.1016/j.apnum.2022.06.002
See this article

Stabilization of the nonconforming virtual element method

S. Bertoluzza, G. Manzini, M. Pennacchio and D. Prada
Computers & Mathematics with Applications 116 25 (2022)
DOI: 10.1016/j.camwa.2021.10.009
See this article

A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems

Carsten Carstensen, Rekha Khot and Amiya K. Pani
Numerische Mathematik 151 (3) 551 (2022)
DOI: 10.1007/s00211-022-01296-x
See this article

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)
DOI: 10.1016/j.camwa.2022.05.001
See this article

On mesh refinement procedures for the virtual element method for two-dimensional elastic problems

Daniel van Huyssteen, Felipe Lopez Rivarola, Guillermo Etse and Paul Steinmann
Computer Methods in Applied Mechanics and Engineering 393 114849 (2022)
DOI: 10.1016/j.cma.2022.114849
See this article