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:

Efficient multi-material continuum topology optimization considering hyperelasticity: Achieving local feature control through regional constraints

Xiaojia Shelly Zhang and Heng Chi
Mechanics Research Communications 105 103494 (2020)
https://doi.org/10.1016/j.mechrescom.2020.103494

A discontinuous Galerkin method for mathematical simulating of gas-liquid mixture flows

E P Shurina, N B Itkina and S I Markov
Journal of Physics: Conference Series 1615 (1) 012009 (2020)
https://doi.org/10.1088/1742-6596/1615/1/012009

A low-order locking-free virtual element for linear elasticity problems

Xialan Tang, Zhibin Liu, Baiju Zhang and Minfu Feng
Computers & Mathematics with Applications 80 (5) 1260 (2020)
https://doi.org/10.1016/j.camwa.2020.04.032

Virtual element for the buckling problem of Kirchhoff–Love plates

David Mora and Iván Velásquez
Computer Methods in Applied Mechanics and Engineering 360 112687 (2020)
https://doi.org/10.1016/j.cma.2019.112687

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)
https://doi.org/10.1016/j.camwa.2019.12.018

Relationship between the vertex-centered linearity-preserving scheme and the lowest-order virtual element method for diffusion problems on star-shaped polygons

Qiannan Dong, Jiming Wu and Shuai Su
Computers & Mathematics with Applications 79 (11) 3117 (2020)
https://doi.org/10.1016/j.camwa.2020.01.009

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)
https://doi.org/10.1093/imanum/drz001

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)
https://doi.org/10.1016/j.camwa.2020.06.005

A Hybrid High-Order method for the incompressible Navier–Stokes problem robust for large irrotational body forces

Daniel Castanon Quiroz and Daniele A. Di Pietro
Computers & Mathematics with Applications 79 (9) 2655 (2020)
https://doi.org/10.1016/j.camwa.2019.12.005

The Stokes complex for Virtual Elements in three dimensions

L. Beirão da Veiga, F. Dassi and G. Vacca
Mathematical Models and Methods in Applied Sciences 30 (03) 477 (2020)
https://doi.org/10.1142/S0218202520500128

On the application of polygonal finite element method for Stokes flow – A comparison between equal order and different order approximation

Sundararajan Natarajan
Computer Aided Geometric Design 77 101813 (2020)
https://doi.org/10.1016/j.cagd.2019.101813

The Nonconforming Virtual Element Method for a Stationary Stokes Hemivariational Inequality with Slip Boundary Condition

Min Ling, Fei Wang and Weimin Han
Journal of Scientific Computing 85 (3) (2020)
https://doi.org/10.1007/s10915-020-01333-7

Polynomial preserving virtual elements with curved edges

L. Beirão da Veiga, F. Brezzi, L. D. Marini and A. Russo
Mathematical Models and Methods in Applied Sciences 30 (08) 1555 (2020)
https://doi.org/10.1142/S0218202520500311

A dual hybrid virtual element method for plane elasticity problems

Edoardo Artioli, Stefano de Miranda, Carlo Lovadina and Luca Patruno
ESAIM: Mathematical Modelling and Numerical Analysis 54 (5) 1725 (2020)
https://doi.org/10.1051/m2an/2020011

Parallel block preconditioners for three-dimensional virtual element discretizations of saddle-point problems

F. Dassi and S. Scacchi
Computer Methods in Applied Mechanics and Engineering 372 113424 (2020)
https://doi.org/10.1016/j.cma.2020.113424

A divergence-free reconstruction of the nonconforming virtual element method for the Stokes problem

Xin Liu, Rui Li and Yufeng Nie
Computer Methods in Applied Mechanics and Engineering 372 113351 (2020)
https://doi.org/10.1016/j.cma.2020.113351

A fully discrete virtual element scheme for the Cahn–Hilliard equation in mixed form

Xin Liu, Zhengkang He and Zhangxin Chen
Computer Physics Communications 246 106870 (2020)
https://doi.org/10.1016/j.cpc.2019.106870

Parallel solvers for virtual element discretizations of elliptic equations in mixed form

F. Dassi and S. Scacchi
Computers & Mathematics with Applications 79 (7) 1972 (2020)
https://doi.org/10.1016/j.camwa.2019.07.027

FETI-DP for the Three Dimensional Virtual Element Method

Silvia Bertoluzza, Micol Pennacchio and Daniele Prada
SIAM Journal on Numerical Analysis 58 (3) 1556 (2020)
https://doi.org/10.1137/18M1233303

The nonconforming virtual element method for the Darcy–Stokes problem

Jikun Zhao, Bei Zhang, Shipeng Mao and Shaochun Chen
Computer Methods in Applied Mechanics and Engineering 370 113251 (2020)
https://doi.org/10.1016/j.cma.2020.113251

On nonconvex meshes for elastodynamics using virtual element methods with explicit time integration

Kyoungsoo Park, Heng Chi and Glaucio H. Paulino
Computer Methods in Applied Mechanics and Engineering 356 669 (2019)
https://doi.org/10.1016/j.cma.2019.06.031

The Virtual Element Method with curved edges

L. Beirão da Veiga, A. Russo and G. Vacca
ESAIM: Mathematical Modelling and Numerical Analysis 53 (2) 375 (2019)
https://doi.org/10.1051/m2an/2018052

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)
https://doi.org/10.1051/m2an/2018074

The Divergence-Free Nonconforming Virtual Element for the Stokes Problem

Jikun Zhao, Bei Zhang, Shipeng Mao and Shaochun Chen
SIAM Journal on Numerical Analysis 57 (6) 2730 (2019)
https://doi.org/10.1137/18M1200762

A virtual element method for the coupled Stokes–Darcy problem with the Beaver–Joseph–Saffman interface condition

Xin Liu, Rui Li and Zhangxin Chen
Calcolo 56 (4) (2019)
https://doi.org/10.1007/s10092-019-0345-0

A Divergence Free Weak Virtual Element Method for the Stokes Problem on Polytopal Meshes

Long Chen and Feng Wang
Journal of Scientific Computing 78 (2) 864 (2019)
https://doi.org/10.1007/s10915-018-0796-5

Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes

Dibyendu Adak, E. Natarajan and Sarvesh Kumar
Numerical Methods for Partial Differential Equations 35 (1) 222 (2019)
https://doi.org/10.1002/num.22298

The nonconforming virtual element method for elasticity problems

Bei Zhang, Jikun Zhao, Yongqin Yang and Shaochun Chen
Journal of Computational Physics 378 394 (2019)
https://doi.org/10.1016/j.jcp.2018.11.004

Mixed virtual element methods for elastodynamics with weak symmetry

Baiju Zhang, Yan Yang and Minfu Feng
Journal of Computational and Applied Mathematics 353 49 (2019)
https://doi.org/10.1016/j.cam.2018.12.020

A weak Galerkin finite element method for the Navier–Stokes equations

Xiaozhe Hu, Lin Mu and Xiu Ye
Journal of Computational and Applied Mathematics 362 614 (2019)
https://doi.org/10.1016/j.cam.2018.08.022

A Hybrid High-Order method for the incompressible Navier–Stokes equations based on Temam's device

Lorenzo Botti, Daniele A. Di Pietro and Jérôme Droniou
Journal of Computational Physics 376 786 (2019)
https://doi.org/10.1016/j.jcp.2018.10.014

A nonconforming Trefftz virtual element method for the Helmholtz problem

Lorenzo Mascotto, Ilaria Perugia and Alexander Pichler
Mathematical Models and Methods in Applied Sciences 29 (09) 1619 (2019)
https://doi.org/10.1142/S0218202519500301

The Stokes Complex for Virtual Elements with Application to Navier–Stokes Flows

L. Beirão da Veiga, D. Mora and G. Vacca
Journal of Scientific Computing 81 (2) 990 (2019)
https://doi.org/10.1007/s10915-019-01049-3

On the Coupling of VEM and BEM in Two and Three Dimensions

Gabriel N. Gatica and Salim Meddahi
SIAM Journal on Numerical Analysis 57 (6) 2493 (2019)
https://doi.org/10.1137/18M1202487

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)
https://doi.org/10.1080/00207160.2018.1475651

A mixed virtual element method for a pseudostress-based formulation of linear elasticity

Ernesto Cáceres, Gabriel N. Gatica and Filánder A. Sequeira
Applied Numerical Mathematics 135 423 (2019)
https://doi.org/10.1016/j.apnum.2018.09.003

A Mixed Virtual Element Method for Quasi-Newtonian Stokes Flows

Ernesto Cáceres, Gabriel N. Gatica and Filánder A. Sequeira
SIAM Journal on Numerical Analysis 56 (1) 317 (2018)
https://doi.org/10.1137/17M1121160

A virtual element method for the transmission eigenvalue problem

David Mora and Iván Velásquez
Mathematical Models and Methods in Applied Sciences 28 (14) 2803 (2018)
https://doi.org/10.1142/S0218202518500616

Exponential convergence of the hp virtual element method in presence of corner singularities

L. Beirão da Veiga, A. Chernov, L. Mascotto and A. Russo
Numerische Mathematik 138 (3) 581 (2018)
https://doi.org/10.1007/s00211-017-0921-7

Virtual elements for a shear-deflection formulation of Reissner–Mindlin plates

L. da Veiga, D. Mora and G. Rivera
Mathematics of Computation 88 (315) 149 (2018)
https://doi.org/10.1090/mcom/3331

Virtual element method for second-order elliptic eigenvalue problems

Francesca Gardini and Giuseppe Vacca
IMA Journal of Numerical Analysis 38 (4) 2026 (2018)
https://doi.org/10.1093/imanum/drx063

A Hybrid High-Order discretisation of the Brinkman problem robust in the Darcy and Stokes limits

Lorenzo Botti, Daniele A. Di Pietro and Jérôme Droniou
Computer Methods in Applied Mechanics and Engineering 341 278 (2018)
https://doi.org/10.1016/j.cma.2018.07.004

A mixed virtual element method for the Navier–Stokes equations

Gabriel N. Gatica, Mauricio Munar and Filánder A. Sequeira
Mathematical Models and Methods in Applied Sciences 28 (14) 2719 (2018)
https://doi.org/10.1142/S0218202518500598

Virtual element method for two-dimensional linear elasticity problem in mixed weakly symmetric formulation

Baiju Zhang and Minfu Feng
Applied Mathematics and Computation 328 1 (2018)
https://doi.org/10.1016/j.amc.2018.01.023

The fully nonconforming virtual element method for biharmonic problems

P. F. Antonietti, G. Manzini and M. Verani
Mathematical Models and Methods in Applied Sciences 28 (02) 387 (2018)
https://doi.org/10.1142/S0218202518500100

A family of virtual element methods for plane elasticity problems based on the Hellinger–Reissner principle

E. Artioli, S. de Miranda, C. Lovadina and L. Patruno
Computer Methods in Applied Mechanics and Engineering 340 978 (2018)
https://doi.org/10.1016/j.cma.2018.06.020

Ill‐conditioning in the virtual element method: Stabilizations and bases

Lorenzo Mascotto
Numerical Methods for Partial Differential Equations 34 (4) 1258 (2018)
https://doi.org/10.1002/num.22257

Non-conforming Harmonic Virtual Element Method: $$h$$h- and $$p$$p-Versions

Lorenzo Mascotto, Ilaria Perugia and Alexander Pichler
Journal of Scientific Computing 77 (3) 1874 (2018)
https://doi.org/10.1007/s10915-018-0797-4

Virtual Element approximations of the Vector Potential Formulation of Magnetostatic problems

Lourenço Beirão da Veiga, Franco Brezzi, L. Donatella Marini and Alessandro Russo
The SMAI Journal of computational mathematics 4 399 (2018)
https://doi.org/10.5802/smai-jcm.40

A Family of Three-Dimensional Virtual Elements with Applications to Magnetostatics

L. Beira͂o da Veiga, F. Brezzi, F. Dassi, L. D. Marini and A. Russo
SIAM Journal on Numerical Analysis 56 (5) 2940 (2018)
https://doi.org/10.1137/18M1169886

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

Gabriel N. Gatica, Mauricio Munar and Filánder A. Sequeira
Calcolo 55 (2) (2018)
https://doi.org/10.1007/s10092-018-0262-7

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)
https://doi.org/10.1093/imanum/dry063

Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes

L. Beira͂o da Veiga, C. Lovadina and G. Vacca
SIAM Journal on Numerical Analysis 56 (3) 1210 (2018)
https://doi.org/10.1137/17M1132811

A Hybrid High-Order Method for the Steady Incompressible Navier–Stokes Problem

Daniele A. Di Pietro and Stella Krell
Journal of Scientific Computing 74 (3) 1677 (2018)
https://doi.org/10.1007/s10915-017-0512-x

Serendipity Virtual Elements for General Elliptic Equations in Three Dimensions

Lourenço Beirão Da Veiga, Franco Brezzi, Franco Dassi, Luisa Donatelia Marini and Alessandro Russo
Chinese Annals of Mathematics, Series B 39 (2) 315 (2018)
https://doi.org/10.1007/s11401-018-1066-4

A nonconforming virtual element method for the Stokes problem on general meshes

Xin Liu, Jian Li and Zhangxin Chen
Computer Methods in Applied Mechanics and Engineering 320 694 (2017)
https://doi.org/10.1016/j.cma.2017.03.027

A stress/displacement Virtual Element method for plane elasticity problems

E. Artioli, S. de Miranda, C. Lovadina and L. Patruno
Computer Methods in Applied Mechanics and Engineering 325 155 (2017)
https://doi.org/10.1016/j.cma.2017.06.036

A virtual element method for the acoustic vibration problem

Lourenço Beirão da Veiga, David Mora, Gonzalo Rivera and Rodolfo Rodríguez
Numerische Mathematik 136 (3) 725 (2017)
https://doi.org/10.1007/s00211-016-0855-5

Stability analysis for the virtual element method

Lourenço Beirão da Veiga, Carlo Lovadina and Alessandro Russo
Mathematical Models and Methods in Applied Sciences 27 (13) 2557 (2017)
https://doi.org/10.1142/S021820251750052X

Virtual Element approximation of 2D magnetostatic problems

L. Beirão da Veiga, F. Brezzi, F. Dassi, L.D. Marini and A. Russo
Computer Methods in Applied Mechanics and Engineering 327 173 (2017)
https://doi.org/10.1016/j.cma.2017.08.013

Mimetic finite difference methods for Hamiltonian wave equations in 2D

L. Beirão da Veiga, L. Lopez and G. Vacca
Computers & Mathematics with Applications 74 (5) 1123 (2017)
https://doi.org/10.1016/j.camwa.2017.05.022