ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)

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

Lorenzo Mascotto
Numerical Methods for Partial Differential Equations 34 (4) 1258 (2018)
DOI: 10.1002/num.22257
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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)
DOI: 10.1007/s00211-017-0921-7
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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)
DOI: 10.1016/j.camwa.2022.12.013
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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)
DOI: 10.1016/j.cma.2021.113793
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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)
DOI: 10.1016/j.cma.2021.114024
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A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator

Felipe Lepe and Gonzalo Rivera
Calcolo 58 (2) (2021)
DOI: 10.1007/s10092-021-00412-x
See this article

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)
DOI: 10.1137/20M1350479
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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)
DOI: 10.1002/num.22298
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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)
DOI: 10.1051/m2an/2020011
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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)
DOI: 10.1007/s00211-016-0855-5
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Stability and Interpolation Properties for Stokes-Like Virtual Element Spaces

Jian Meng, Lourenço Beirão da Veiga and Lorenzo Mascotto
Journal of Scientific Computing 94 (3) (2023)
DOI: 10.1007/s10915-023-02112-w
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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)
DOI: 10.1016/j.camwa.2020.04.032
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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)
DOI: 10.1016/j.cma.2019.112687
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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)
DOI: 10.1016/j.camwa.2017.05.022
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An adaptive virtual element method for incompressible flow

Ying Wang, Gang Wang and Feng Wang
Computers & Mathematics with Applications 101 63 (2021)
DOI: 10.1016/j.camwa.2021.09.012
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Generalized weak Galerkin methods for Stokes equations

Wenya Qi, Padmanabhan Seshaiyer and Junping Wang
Computers & Mathematics with Applications 134 181 (2023)
DOI: 10.1016/j.camwa.2023.01.014
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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
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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)
DOI: 10.1007/s10915-017-0512-x
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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)
DOI: 10.1016/j.cma.2017.06.036
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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)
DOI: 10.1142/S021820251750052X
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High-order Virtual Element Method on polyhedral meshes

L. Beirão da Veiga, F. Dassi and A. Russo
Computers & Mathematics with Applications 74 (5) 1110 (2017)
DOI: 10.1016/j.camwa.2017.03.021
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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
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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)
DOI: 10.1137/17M1132811
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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)
DOI: 10.1142/S0218202520500311
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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)
DOI: 10.1007/s10092-018-0262-7
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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)
DOI: 10.1016/j.cma.2020.113251
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An H1-conforming virtual element for Darcy and Brinkman equations

Giuseppe Vacca
Mathematical Models and Methods in Applied Sciences 28 (01) 159 (2018)
DOI: 10.1142/S0218202518500057
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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)
DOI: 10.1137/18M1202487
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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)
DOI: 10.1142/S0218202518500100
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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)
DOI: 10.1016/j.cma.2017.03.027
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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)
DOI: 10.1016/j.amc.2018.01.023
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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)
DOI: 10.1007/s10915-019-01049-3
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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
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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
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Stabilized virtual element methods for the unsteady incompressible Navier–Stokes equations

Diego Irisarri and Guillermo Hauke
Calcolo 56 (4) (2019)
DOI: 10.1007/s10092-019-0332-5
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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)
DOI: 10.1142/S0218202519500301
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A mixed virtual element method for the vibration problem of clamped Kirchhoff plate

Jian Meng and Liquan Mei
Advances in Computational Mathematics 46 (5) (2020)
DOI: 10.1007/s10444-020-09810-1
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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 (2023)
DOI: 10.1002/num.23040
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Virtual element methods for the obstacle problem

Fei Wang and Huayi Wei
IMA Journal of Numerical Analysis (2018)
DOI: 10.1093/imanum/dry055
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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)
DOI: 10.1016/j.mechrescom.2020.103494
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BDDC and FETI-DP for the virtual element method

Silvia Bertoluzza, Micol Pennacchio and Daniele Prada
Calcolo 54 (4) 1565 (2017)
DOI: 10.1007/s10092-017-0242-3
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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)
DOI: 10.1142/S0218202518500598
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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)
DOI: 10.1142/S021820252350029X
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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)
DOI: 10.1016/j.jcp.2018.10.014
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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)
DOI: 10.1007/s10915-018-0797-4
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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)
DOI: 10.1142/S0218202521500275
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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)
DOI: 10.1137/17M1121160
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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)
DOI: 10.1137/18M1169886
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A virtual element method for stochastic Stokes equations

Wei Liu and Huoyuan Duan
Computers & Mathematics with Applications (2019)
DOI: 10.1016/j.camwa.2019.10.005
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The nonconforming virtual element method for elasticity problems

Bei Zhang, Jikun Zhao, Yongqin Yang and Shaochun Chen
Journal of Computational Physics 378 394 (2019)
DOI: 10.1016/j.jcp.2018.11.004
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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)
DOI: 10.1142/S0218202518500616
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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
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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)
DOI: 10.1007/s11401-018-1066-4
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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
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The nonconforming virtual element method for the Navier-Stokes equations

Xin Liu and Zhangxin Chen
Advances in Computational Mathematics 45 (1) 51 (2019)
DOI: 10.1007/s10444-018-9602-z
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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)
DOI: 10.1007/s10915-018-0796-5
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Basic convergence theory for the network element method

Julien Coatléven
ESAIM: Mathematical Modelling and Numerical Analysis 55 (5) 2503 (2021)
DOI: 10.1051/m2an/2021062
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An Advection-Robust Hybrid High-Order Method for the Oseen Problem

Joubine Aghili and Daniele A. Di Pietro
Journal of Scientific Computing 77 (3) 1310 (2018)
DOI: 10.1007/s10915-018-0681-2
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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
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Bricks for the mixed high-order virtual element method: Projectors and differential operators

F. Dassi and G. Vacca
Applied Numerical Mathematics 155 140 (2020)
DOI: 10.1016/j.apnum.2019.03.014
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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)
DOI: 10.1007/s10092-019-0345-0
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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)
DOI: 10.1016/j.cpc.2019.106870
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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)
DOI: 10.1016/j.cma.2020.113351
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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)
DOI: 10.1016/j.cma.2020.113424
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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)
DOI: 10.1016/j.cma.2017.08.013
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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)
DOI: 10.1137/18M1200762
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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)
DOI: 10.1007/s10915-020-01333-7
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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)
DOI: 10.1016/j.cagd.2019.101813
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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)
DOI: 10.1016/j.cma.2018.06.020
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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)
DOI: 10.1142/S0218202521500354
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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)
DOI: 10.1142/S0218202520500128
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A local projection stabilization virtual element method for convection-diffusion-reaction equation

Yang Li and Minfu Feng
Applied Mathematics and Computation 411 126536 (2021)
DOI: 10.1016/j.amc.2021.126536
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Virtual element methods for nonlocal parabolic problems on general type of meshes

D. Adak and S. Natarajan
Advances in Computational Mathematics 46 (5) (2020)
DOI: 10.1007/s10444-020-09811-0
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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
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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)
DOI: 10.1051/m2an/2018052
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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)
DOI: 10.1016/j.camwa.2019.12.005
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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)
DOI: 10.1007/s11786-020-00473-1
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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
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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)
DOI: 10.1016/j.camwa.2020.01.009
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A virtual element method for the Laplacian eigenvalue problem in mixed form

Jian Meng, Yongchao Zhang and Liquan Mei
Applied Numerical Mathematics 156 1 (2020)
DOI: 10.1016/j.apnum.2020.03.026
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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)
DOI: 10.1093/imanum/draa005
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The Hybrid High-Order Method for Polytopal Meshes

Daniele Antonio Di Pietro and Jérôme Droniou
MS&A, The Hybrid High-Order Method for Polytopal Meshes 19 381 (2020)
DOI: 10.1007/978-3-030-37203-3_8
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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)
DOI: 10.1137/18M1233303
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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
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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
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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)
DOI: 10.1007/s00211-020-01167-3
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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)
DOI: 10.1007/s10444-020-09826-7
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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)
DOI: 10.1093/imanum/drab003
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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)
DOI: 10.1016/j.cma.2021.113753
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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)
DOI: 10.1016/j.cma.2018.07.004
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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)
DOI: 10.1016/j.cma.2019.06.031
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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)
DOI: 10.1051/m2an/2021051
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Divergence-free Scott--Vogelius Elements on Curved Domains

Michael Neilan and Baris Otus
SIAM Journal on Numerical Analysis 59 (2) 1090 (2021)
DOI: 10.1137/20M1360098
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p- and hp- virtual elements for the Stokes problem

A. Chernov, C. Marcati and L. Mascotto
Advances in Computational Mathematics 47 (2) (2021)
DOI: 10.1007/s10444-020-09831-w
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A C0 virtual element method for the biharmonic eigenvalue problem

Jian Meng and Liquan Mei
International Journal of Computer Mathematics 98 (9) 1821 (2021)
DOI: 10.1080/00207160.2020.1849635
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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)
DOI: 10.1016/j.amc.2021.126325
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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)
DOI: 10.1016/j.apnum.2021.05.014
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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)
DOI: 10.1016/j.cma.2021.113879
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Principles of a network element method

Julien Coatléven
Journal of Computational Physics 433 110197 (2021)
DOI: 10.1016/j.jcp.2021.110197
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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)
DOI: 10.1016/j.camwa.2021.05.022
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Ella P. Shurina, Daria V. Dobroliubova and Ekaterina I. Shtanko
283 (2018)
DOI: 10.1109/APEIE.2018.8545270
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Variable-time-step BDF2 nonconforming VEM for coupled Ginzburg-Landau equations

Meng Li, Lingli Wang and Nan Wang
Applied Numerical Mathematics 186 378 (2023)
DOI: 10.1016/j.apnum.2023.01.022
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A New Projection-Based Stabilized Virtual Element Method for the Stokes Problem

Jun Guo and Minfu Feng
Journal of Scientific Computing 85 (1) (2020)
DOI: 10.1007/s10915-020-01301-1
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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
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Lowest order virtual element approximations for transient Stokes problem on polygonal meshes

N. Verma and S. Kumar
Calcolo 58 (4) (2021)
DOI: 10.1007/s10092-021-00440-7
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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)
DOI: 10.1051/m2an/2021058
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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)
DOI: 10.1137/21M1394709
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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)
DOI: 10.1007/s10444-021-09909-z
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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)
DOI: 10.1088/1742-6596/1615/1/012009
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Two robust virtual element methods for the Brinkman equations

Gang Wang, Ying Wang and Yinnian He
Calcolo 58 (4) (2021)
DOI: 10.1007/s10092-021-00442-5
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Virtual element stabilization of convection-diffusion equation with shock capturing

M. Arrutselvi and E. Natarajan
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