EDP Sciences logo
Subscriber Authentication Point
Sciengine logo
Search
Menu
All issues ESAIM: M2AN, 51 2 (2017) 509-535 Article references

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:

A posteriori error analysis and adaptivity for a VEM discretization of the Navier–Stokes equations

Claudio Canuto and Davide Rosso
Advances in Computational Mathematics 49 (6) (2023)
https://doi.org/10.1007/s10444-023-10081-9

A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form

L. Beirão da Veiga, D. Mora and A. Silgado
Computer Methods in Applied Mechanics and Engineering 408 115947 (2023)
https://doi.org/10.1016/j.cma.2023.115947

An arbitrary-order fully discrete Stokes complex on general polyhedral meshes

Marien-Lorenzo Hanot
Mathematics of Computation 92 (343) 1977 (2023)
https://doi.org/10.1090/mcom/3837

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

A stabilized divergence-free virtual element scheme for the nematic liquid crystal flows

Xuyang Wang, Guang-an Zou and Bo Wang
Applied Numerical Mathematics 192 104 (2023)
https://doi.org/10.1016/j.apnum.2023.06.004

Dissipative nonconforming virtual element method for the fourth order nonlinear extended Fisher-Kolmogorov equation

Lifang Pei, Chaofeng Zhang and Meng Li
Computers & Mathematics with Applications 152 28 (2023)
https://doi.org/10.1016/j.camwa.2023.10.007

Nonconforming virtual element methods for the fourth-order variational inequalities of the first kind

Jiali Qiu, Jikun Zhao and Fei Wang
Journal of Computational and Applied Mathematics 425 115025 (2023)
https://doi.org/10.1016/j.cam.2022.115025

Analysis of divergence free conforming virtual elements for the Brinkman problem

Xuehai Huang and Feng Wang
Mathematical Models and Methods in Applied Sciences 33 (06) 1245 (2023)
https://doi.org/10.1142/S021820252350029X

A Morley-type virtual element approximation for a wind-driven ocean circulation model on polygonal meshes

D. Adak, D. Mora and A. Silgado
Journal of Computational and Applied Mathematics 425 115026 (2023)
https://doi.org/10.1016/j.cam.2022.115026

Theoretical analysis and construction of numerical method for solving the Navier–Stokes equations in rotation form with corner singularity

Viktor A. Rukavishnikov and Alexey V. Rukavishnikov
Journal of Computational and Applied Mathematics 429 115218 (2023)
https://doi.org/10.1016/j.cam.2023.115218

A nonconforming immersed virtual element method for elliptic interface problems

Hyeokjoo Park and Do Young Kwak
ESAIM: Mathematical Modelling and Numerical Analysis 57 (6) 3615 (2023)
https://doi.org/10.1051/m2an/2023078

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

A Conforming Virtual Element Method Based on Unfitted Meshes for the Elliptic Interface Problem

Haimei Wang, Feng Wang, Jinru Chen and Haifeng Ji
Journal of Scientific Computing 96 (1) (2023)
https://doi.org/10.1007/s10915-023-02229-y

A pressure-robust virtual element method for the Navier-Stokes problem on polygonal mesh

Ying Wang, Gang Wang and Yue Shen
Computers & Mathematics with Applications 131 124 (2023)
https://doi.org/10.1016/j.camwa.2022.12.013

The nonconforming locking-free virtual element method for the Biot's consolidation model in poroelasticity

Hao Liang and Hongxing Rui
Computers & Mathematics with Applications 148 269 (2023)
https://doi.org/10.1016/j.camwa.2023.08.012

A new class of stabilized virtual element methods for the time-dependent Oseen equations

Yanhong Bai, Yang Li and Minfu Feng
Computers & Mathematics with Applications 145 303 (2023)
https://doi.org/10.1016/j.camwa.2023.06.041

An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows

Guang-an Zou, Xuyang Wang and Jian Li
Advances in Computational Mathematics 49 (3) (2023)
https://doi.org/10.1007/s10444-023-10028-0

VIRTUAL ELEMENT APPROXIMATIONS FOR NON-STATIONARY NAVIER-STOKES EQUATIONS ON POLYGONAL MESHES

Nitesh Verma and Sarvesh Kumar
Journal of Applied Analysis & Computation 13 (3) 1155 (2023)
https://doi.org/10.11948/20210381

The divergence‐free nonconforming virtual element method for the Navier–Stokes problem

Bei Zhang, Jikun Zhao and Meng Li
Numerical Methods for Partial Differential Equations 39 (3) 1977 (2023)
https://doi.org/10.1002/num.22812

Robust nonconforming virtual element methods for general fourth-order problems with varying coefficients

Andreas Dedner and Alice Hodson
IMA Journal of Numerical Analysis 42 (2) 1364 (2022)
https://doi.org/10.1093/imanum/drab003

A C1-virtual element method of high order for the Brinkman equations in stream function formulation with pressure recovery

David Mora, Carlos Reales and Alberth Silgado
IMA Journal of Numerical Analysis 42 (4) 3632 (2022)
https://doi.org/10.1093/imanum/drab078

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

Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem

Derk Frerichs and Christian Merdon
IMA Journal of Numerical Analysis 42 (1) 597 (2022)
https://doi.org/10.1093/imanum/draa073

Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to Fluid–Structure Interaction Problems

Paola F. Antonietti, Lorenzo Mascotto, Marco Verani and Stefano Zonca
Journal of Scientific Computing 90 (1) (2022)
https://doi.org/10.1007/s10915-021-01695-6

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

Artificial Compressibility Methods for the Incompressible Navier–Stokes Equations Using Lowest-Order Face-Based Schemes on Polytopal Meshes

Riccardo Milani, Jérôme Bonelle and Alexandre Ern
Computational Methods in Applied Mathematics 22 (1) 133 (2022)
https://doi.org/10.1515/cmam-2021-0089

Unconditional Error Analysis of a Linearized Bdf2 Virtual Element Method for Nonlinear Ginzburg-Landau Equation with Variable Time Step

Nan Wang and Meng Li
SSRN Electronic Journal (2022)
https://doi.org/10.2139/ssrn.4098832

Unconditionally energy stable C0-virtual element scheme for solving generalized Swift-Hohenberg equation

Mehdi Dehghan, Zeinab Gharibi and Mohammad Reza Eslahchi
Applied Numerical Mathematics 178 304 (2022)
https://doi.org/10.1016/j.apnum.2022.03.013

Pressure-independent velocity error estimates for (Navier-)Stokes nonconforming virtual element discretization with divergence free

Xin Liu and Yufeng Nie
Numerical Algorithms 90 (2) 477 (2022)
https://doi.org/10.1007/s11075-021-01195-6

A new local projection stabilization virtual element method for the Oseen problem on polygonal meshes

Yang Li, Minfu Feng and Yan Luo
Advances in Computational Mathematics 48 (3) (2022)
https://doi.org/10.1007/s10444-022-09952-4

Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes

Lourenço Beirão da Veiga, Franco Dassi, Daniele A. Di Pietro and Jérôme Droniou
Computer Methods in Applied Mechanics and Engineering 397 115061 (2022)
https://doi.org/10.1016/j.cma.2022.115061

BDDC Preconditioners for Divergence Free Virtual Element Discretizations of the Stokes Equations

Tommaso Bevilacqua and Simone Scacchi
Journal of Scientific Computing 92 (2) (2022)
https://doi.org/10.1007/s10915-022-01929-1

Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework

Meng Li, Jikun Zhao, Chengming Huang and Shaochun Chen
IMA Journal of Numerical Analysis 42 (3) 2238 (2022)
https://doi.org/10.1093/imanum/drab030

Penalty Virtual Element Method for the 3D Incompressible Flow on Polyhedron Mesh

Lulu Li, Haiyan Su and Yinnian He
Entropy 24 (8) 1129 (2022)
https://doi.org/10.3390/e24081129

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

VIRTUAL ELEMENT APPROXIMATIONS FOR TWO SPECIES MODEL OF THE ADVECTION-DIFFUSION-REACTION IN POROELASTIC MEDIA

Nitesh Verma and Sarvesh Kumar
Mathematical Modelling and Analysis 27 (4) 668 (2022)
https://doi.org/10.3846/mma.2022.15542

On the virtual element method for topology optimization of non-Newtonian fluid-flow problems

Miguel A. A. Suárez, Juan S. Romero, Anderson Pereira and Ivan F. M. Menezes
Engineering with Computers 38 (6) 5445 (2022)
https://doi.org/10.1007/s00366-022-01637-2

A unified analysis of fully mixed virtual element method for wormhole propagation arising in the petroleum engineering

Mehdi Dehghan and Zeinab Gharibi
Computers & Mathematics with Applications 121 30 (2022)
https://doi.org/10.1016/j.camwa.2022.06.004

Lowest-order virtual element methods for linear elasticity problems

Do Y. Kwak and Hyeokjoo Park
Computer Methods in Applied Mechanics and Engineering 390 114448 (2022)
https://doi.org/10.1016/j.cma.2021.114448

Robust and scalable adaptive BDDC preconditioners for virtual element discretizations of elliptic partial differential equations in mixed form

Franco Dassi, Stefano Zampini and S. Scacchi
Computer Methods in Applied Mechanics and Engineering 391 114620 (2022)
https://doi.org/10.1016/j.cma.2022.114620

Weakly imposed Dirichlet boundary conditions for 2D and 3D Virtual Elements

Silvia Bertoluzza, Micol Pennacchio and Daniele Prada
Computer Methods in Applied Mechanics and Engineering 400 115454 (2022)
https://doi.org/10.1016/j.cma.2022.115454

A C1 virtual element method for the stationary quasi-geostrophic equations of the ocean

David Mora and Alberth Silgado
Computers & Mathematics with Applications 116 212 (2022)
https://doi.org/10.1016/j.camwa.2021.05.022

Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems

Franco Dassi and Iván Velásquez
Computers & Mathematics with Applications 121 85 (2022)
https://doi.org/10.1016/j.camwa.2022.07.001

Virtual Element Methods for three-dimensional Hellinger-Reissner elastostatic problems

Carlo Lovadina and Michele Visinoni
Communications in Applied and Industrial Mathematics 13 (1) 57 (2022)
https://doi.org/10.2478/caim-2022-0005

The nonconforming virtual element method for semilinear elliptic problems

Liuchao Xiao, Meng Zhou and Jikun Zhao
Applied Mathematics and Computation 433 127402 (2022)
https://doi.org/10.1016/j.amc.2022.127402

A local projection stabilization virtual element method for convection-diffusion-reaction equation

Yang Li and Minfu Feng
Applied Mathematics and Computation 411 126536 (2021)
https://doi.org/10.1016/j.amc.2021.126536

Divergence-free Scott--Vogelius Elements on Curved Domains

Michael Neilan and Baris Otus
SIAM Journal on Numerical Analysis 59 (2) 1090 (2021)
https://doi.org/10.1137/20M1360098

A hybrid high-order method for creeping flows of non-Newtonian fluids

Michele Botti, Daniel Castanon Quiroz, Daniele A. Di Pietro and André Harnist
ESAIM: Mathematical Modelling and Numerical Analysis 55 (5) 2045 (2021)
https://doi.org/10.1051/m2an/2021051

An Lp spaces-based mixed virtual element method for the two-dimensional Navier–Stokes equations

Gabriel N. Gatica and Filánder A. Sequeira
Mathematical Models and Methods in Applied Sciences 31 (14) 2937 (2021)
https://doi.org/10.1142/S0218202521500664

Virtual element methods for the three-field formulation of time-dependent linear poroelasticity

Raimund Bürger, Sarvesh Kumar, David Mora, Ricardo Ruiz-Baier and Nitesh Verma
Advances in Computational Mathematics 47 (1) (2021)
https://doi.org/10.1007/s10444-020-09826-7

Bulk-surface virtual element method for systems of PDEs in two-space dimensions

Massimo Frittelli, Anotida Madzvamuse and Ivonne Sgura
Numerische Mathematik 147 (2) 305 (2021)
https://doi.org/10.1007/s00211-020-01167-3

Conforming and nonconforming virtual element methods for a Kirchhoff plate contact problem

Fei Wang and Jikun Zhao
IMA Journal of Numerical Analysis 41 (2) 1496 (2021)
https://doi.org/10.1093/imanum/draa005

On the $${ H}^{1}$$ Conforming Virtual Element Method for Time Dependent Stokes Equation

Dibyendu Adak and Sundararajan Natarajan
Mathematics in Computer Science 15 (1) 135 (2021)
https://doi.org/10.1007/s11786-020-00473-1

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 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)
https://doi.org/10.1142/S0218202521500627

The curl–curl conforming virtual element method for the quad-curl problem

Jikun Zhao and Bei Zhang
Mathematical Models and Methods in Applied Sciences 31 (08) 1659 (2021)
https://doi.org/10.1142/S0218202521500354

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

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)
https://doi.org/10.1080/00207160.2020.1849637

Basic convergence theory for the network element method

Julien Coatléven
ESAIM: Mathematical Modelling and Numerical Analysis 55 (5) 2503 (2021)
https://doi.org/10.1051/m2an/2021062

A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes

Gang Wang, Feng Wang and Yinnian He
Advances in Computational Mathematics 47 (6) (2021)
https://doi.org/10.1007/s10444-021-09909-z

Vorticity-stabilized virtual elements for the Oseen equation

L. Beirão da Veiga, F. Dassi and G. Vacca
Mathematical Models and Methods in Applied Sciences 31 (14) 3009 (2021)
https://doi.org/10.1142/S0218202521500688

A pressure-robust virtual element method for the Stokes problem

Gang Wang, Lin Mu, Ying Wang and Yinnian He
Computer Methods in Applied Mechanics and Engineering 382 113879 (2021)
https://doi.org/10.1016/j.cma.2021.113879

Conforming and nonconforming conservative virtual element methods for nonlinear Schrödinger equation: A unified framework

Meng Li, Jikun Zhao, Nan Wang and Shaochun Chen
Computer Methods in Applied Mechanics and Engineering 380 113793 (2021)
https://doi.org/10.1016/j.cma.2021.113793

A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem

Felipe Lepe and Gonzalo Rivera
Computer Methods in Applied Mechanics and Engineering 379 113753 (2021)
https://doi.org/10.1016/j.cma.2021.113753

Enrichment of the nonconforming virtual element method with singular functions

E. Artioli and L. Mascotto
Computer Methods in Applied Mechanics and Engineering 385 114024 (2021)
https://doi.org/10.1016/j.cma.2021.114024

A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier--Stokes Equations

Alejandro Allendes, Gabriel R. Barrenechea and Julia Novo
SIAM Journal on Scientific Computing 43 (6) A3809 (2021)
https://doi.org/10.1137/21M1394709

Piecewise Divergence-Free Nonconforming Virtual Elements for Stokes Problem in Any Dimensions

Huayi Wei, Xuehai Huang and Ao Li
SIAM Journal on Numerical Analysis 59 (3) 1835 (2021)
https://doi.org/10.1137/20M1350479

A virtual element discretization for the time dependent Navier–Stokes equations in stream-function formulation

Dibyendu Adak, David Mora, Sundararajan Natarajan and Alberth Silgado
ESAIM: Mathematical Modelling and Numerical Analysis 55 (5) 2535 (2021)
https://doi.org/10.1051/m2an/2021058

A projection-based stabilized virtual element method for the unsteady incompressible Brinkman equations

Xi Zhang and Minfu Feng
Applied Mathematics and Computation 408 126325 (2021)
https://doi.org/10.1016/j.amc.2021.126325

Equilibrium analysis of an immersed rigid leaflet by the virtual element method

L. Beirão da Veiga, C. Canuto, R. H. Nochetto and G. Vacca
Mathematical Models and Methods in Applied Sciences 31 (07) 1323 (2021)
https://doi.org/10.1142/S0218202521500275

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

A modified nonconforming virtual element with BDM-like reconstruction for the Navier-Stokes equations

Xin Liu and Yufeng Nie
Applied Numerical Mathematics 167 375 (2021)
https://doi.org/10.1016/j.apnum.2021.05.014