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:

On the stabilization of a virtual element method for an acoustic vibration problem

Linda Alzaben, Daniele Boffi, Andreas Dedner and Lucia Gastaldi
Mathematical Models and Methods in Applied Sciences 35 (03) 655 (2025)
https://doi.org/10.1142/S0218202525500071

A noncoforming virtual element approximation for the Oseen eigenvalue problem

Dibyendu Adak, Felipe Lepe and Gonzalo Rivera
IMA Journal of Numerical Analysis (2025)
https://doi.org/10.1093/imanum/drae108

Nonconforming virtual element method for the Schrödinger eigenvalue problem

Dibyendu Adak, Gianmarco Manzini and Jesus Vellojin
Computers & Mathematics with Applications 182 213 (2025)
https://doi.org/10.1016/j.camwa.2025.01.035

Linearized nonconforming virtual element method for the semilinear Sobolev equations

Buying Zhang, Wenhao Zhu and Jikun Zhao
Journal of Applied Mathematics and Computing (2025)
https://doi.org/10.1007/s12190-024-02333-8

Nonconforming virtual element methods for velocity-pressure Stokes eigenvalue problem

Dibyendu Adak, Gianmarco Manzini and Sundararajan Natarajan
Applied Numerical Mathematics 202 42 (2024)
https://doi.org/10.1016/j.apnum.2024.04.009

H1-conforming virtual element method for the Laplacian eigenvalue problem in mixed form

Jian Meng, Liquan Mei and Mingfa Fei
Journal of Computational and Applied Mathematics 436 115395 (2024)
https://doi.org/10.1016/j.cam.2023.115395

Conforming and Nonconforming Virtual Element Methods for Signorini Problems

Yuping Zeng, Liuqiang Zhong, Mingchao Cai, Feng Wang and Shangyou Zhang
Journal of Scientific Computing 100 (1) (2024)
https://doi.org/10.1007/s10915-024-02562-w

Mixed variational formulations of virtual elements for the polyharmonic operator (−Δ)

Franco Dassi, David Mora, Carlos Reales and Iván Velásquez
Computers & Mathematics with Applications 158 150 (2024)
https://doi.org/10.1016/j.camwa.2024.01.013

The nonconforming virtual element method for Oseen’s equation using a stream-function formulation

Dibyendu Adak and Gianmarco Manzini
ESAIM: Mathematical Modelling and Numerical Analysis 57 (6) 3303 (2023)
https://doi.org/10.1051/m2an/2023075

Virtual element method for the Sobolev equations

Buying Zhang, Jikun Zhao and Shaochun Chen
Mathematical Methods in the Applied Sciences 46 (1) 1266 (2023)
https://doi.org/10.1002/mma.8579

A C0-nonconforming virtual element methods for the vibration and buckling problems of thin plates

Dibyendu Adak, David Mora and Iván Velásquez
Computer Methods in Applied Mechanics and Engineering 403 115763 (2023)
https://doi.org/10.1016/j.cma.2022.115763

Virtual element method for elliptic bulk‐surface PDEs in three space dimensions

Massimo Frittelli, Anotida Madzvamuse and Ivonne Sgura
Numerical Methods for Partial Differential Equations 39 (6) 4221 (2023)
https://doi.org/10.1002/num.23040

The virtual element method for a 2D incompressible MHD system

S. Naranjo-Alvarez, L. Beirão da Veiga, V.A. Bokil, F. Dassi, V. Gyrya and G. Manzini
Mathematics and Computers in Simulation 211 301 (2023)
https://doi.org/10.1016/j.matcom.2023.03.029

A posteriori virtual element method for the acoustic vibration problem

F. Lepe, D. Mora, G. Rivera and I. Velásquez
Advances in Computational Mathematics 49 (1) (2023)
https://doi.org/10.1007/s10444-022-10003-1

VEM discretization allowing small edges for the reaction–convection–diffusion equation: source and spectral problems

Felipe Lepe and Gonzalo Rivera
ESAIM: Mathematical Modelling and Numerical Analysis 57 (5) 3139 (2023)
https://doi.org/10.1051/m2an/2023069

Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes

Jian Meng, Gang Wang and Liquan Mei
IMA Journal of Numerical Analysis 43 (3) 1685 (2023)
https://doi.org/10.1093/imanum/drac019

Nonconforming virtual element discretization for the transmission eigenvalue problem

Dibyendu Adak, David Mora and Iván Velásquez
Computers & Mathematics with Applications 152 250 (2023)
https://doi.org/10.1016/j.camwa.2023.10.032

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)
https://doi.org/10.3934/jcd.2021020

Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version

L. Beira͂o da Veiga and G. Vacca
SIAM Journal on Numerical Analysis 60 (4) 1853 (2022)
https://doi.org/10.1137/21M1411275

The Virtual Element Method and its Applications

Sebastian Naranjo Alvarez, Vrushali A. Bokil, Vitaliy Gyrya and Gianmarco Manzini
SEMA SIMAI Springer Series, The Virtual Element Method and its Applications 31 499 (2022)
https://doi.org/10.1007/978-3-030-95319-5_12

A priori and a posteriori error estimates for a virtual element method for the non-self-adjoint Steklov eigenvalue problem

Gang Wang, Jian Meng, Ying Wang and Liquan Mei
IMA Journal of Numerical Analysis 42 (4) 3675 (2022)
https://doi.org/10.1093/imanum/drab079

The Virtual Element Method and its Applications

Daniele Boffi, Francesca Gardini and Lucia Gastaldi
SEMA SIMAI Springer Series, The Virtual Element Method and its Applications 31 275 (2022)
https://doi.org/10.1007/978-3-030-95319-5_7

A formal construction of a divergence-free basis in the nonconforming virtual element method for the Stokes problem

Do Y. Kwak and Hyeokjoo Park
Numerical Algorithms 91 (1) 449 (2022)
https://doi.org/10.1007/s11075-022-01269-z

The Virtual Element Method and its Applications

Tommaso Sorgente, Daniele Prada, Daniela Cabiddu, et al.
SEMA SIMAI Springer Series, The Virtual Element Method and its Applications 31 1 (2022)
https://doi.org/10.1007/978-3-030-95319-5_1

Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media

Jian Meng and Liquan Mei
Mathematical Models and Methods in Applied Sciences 32 (08) 1493 (2022)
https://doi.org/10.1142/S0218202522500348

The Virtual Element Method and its Applications

Lorenzo Mascotto, Ilaria Perugia and Alexander Pichler
SEMA SIMAI Springer Series, The Virtual Element Method and its Applications 31 363 (2022)
https://doi.org/10.1007/978-3-030-95319-5_9

The Virtual Element Method and its Applications

Paola F. Antonietti, Gianmarco Manzini, Ilario Mazzieri, Simone Scacchi and Marco Verani
SEMA SIMAI Springer Series, The Virtual Element Method and its Applications 31 411 (2022)
https://doi.org/10.1007/978-3-030-95319-5_10

A lowest-order free-stabilization Virtual Element Method for the Laplacian eigenvalue problem

Jian Meng, Xue Wang, Linlin Bu and Liquan Mei
Journal of Computational and Applied Mathematics 410 114013 (2022)
https://doi.org/10.1016/j.cam.2021.114013

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)
https://doi.org/10.1016/j.camwa.2022.03.042

Virtual Elements for the Transmission Eigenvalue Problem on Polytopal Meshes

David Mora and Iván Velásquez
SIAM Journal on Scientific Computing 43 (4) A2425 (2021)
https://doi.org/10.1137/20M1347887

Polyhedral Methods in Geosciences

Dibyendu Adak, Gianmarco Manzini and Sundararajan Natarajan
SEMA SIMAI Springer Series, Polyhedral Methods in Geosciences 27 259 (2021)
https://doi.org/10.1007/978-3-030-69363-3_7

On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity

Xialan Tang, Zhibin Liu, Baiju Zhang and Minfu Feng
ESAIM: Mathematical Modelling and Numerical Analysis 55 S909 (2021)
https://doi.org/10.1051/m2an/2020064

A Virtual Element Method for the Steklov Eigenvalue Problem Allowing Small Edges

Felipe Lepe, David Mora, Gonzalo Rivera and Iván Velásquez
Journal of Scientific Computing 88 (2) (2021)
https://doi.org/10.1007/s10915-021-01555-3

A $$C^{1}-C^{0}$$ conforming virtual element discretization for the transmission eigenvalue problem

David Mora and Iván Velásquez
Research in the Mathematical Sciences 8 (4) (2021)
https://doi.org/10.1007/s40687-021-00291-2

The p- and hp-versions of the virtual element method for elliptic eigenvalue problems

O. Čertík, F. Gardini, G. Manzini, L. Mascotto and G. Vacca
Computers & Mathematics with Applications 79 (7) 2035 (2020)
https://doi.org/10.1016/j.camwa.2019.10.018

Extension of the nonconforming Trefftz virtual element method to the Helmholtz problem with piecewise constant wave number

Lorenzo Mascotto and Alexander Pichler
Applied Numerical Mathematics 155 160 (2020)
https://doi.org/10.1016/j.apnum.2019.04.005

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

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