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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) https://doi.org/10.1142/S0218202521500275
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 divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes
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
Efficient multi-material continuum topology optimization considering hyperelasticity: Achieving local feature control through regional constraints
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 Hybrid High-Order method for the incompressible Navier–Stokes problem robust for large irrotational body forces
Relationship between the vertex-centered linearity-preserving scheme and the lowest-order virtual element method for diffusion problems on star-shaped polygons
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
A mixed virtual element method for the vibration problem of clamped Kirchhoff plate
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
Virtual element for the buckling problem of Kirchhoff–Love plates
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
Stabilized virtual element methods for the unsteady incompressible Navier–Stokes equations
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
An Advection-Robust Hybrid High-Order Method for the Oseen Problem
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
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 virtual element method for the transmission eigenvalue problem
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 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 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
Exploring high-order three dimensional virtual elements: Bases and stabilizations
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
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
A nonconforming virtual element method for the Stokes problem on general meshes
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
High-order Virtual Element Method on polyhedral meshes