2016

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L. Beirão da Veiga, F. Brezzi, L.D. Marini, A. Russo,

H(div) and H(curl)-conforming virtual element methods,

Numer. Math., 2016

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L. Beirão da Veiga, F. Brezzi, L.D. Marini, A. Russo,

Virtual Element Method for general second-order elliptic problems on polygonal meshes

Math. Models Methods Appl. Sci., 2016.

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P. F. Antonietti, L. Beirão da Veiga, S. Scacchi, M. Verani,

A C^1 Virtual Element Method for the Cahn–Hilliard Equation with Polygonal Meshes,

SIAM J. Numer. Anal., 2016

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L. Beirão da Veiga, F. Brezzi, L.D. Marini, A. Russo,

Serendipity Nodal VEM spaces,

Computers & Fluids, 2016.

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L. Beirão da Veiga, A. Chernov, L. Mascotto, A. Russo,

Basic principles of hp virtual elements on quasiuniform meshes,

Math. Models Methods Appl. Sci., 2016.

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L. Beirão da Veiga, F. Brezzi, L.D. Marini, A. Russo,

Mixed virtual element methods for general second order elliptic problems on polygonal meshes,

Math. Mod. Numer. Anal., 2016.

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G. Vacca,

Virtual Element Methods for hyperbolic problems on polygonal meshes.

Computers & Mathematics with Applications,  2016.

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I. Perugia, P. Pietra, A. Russo,

A Plane Wave Virtual Element Method for the Helmholtz Problem.

ESAIM: M2AN, 2016.

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A. Russo,

On the choice of the internal degrees of freedom for the nodal Virtual Element Method in two dimensions.

Computers & Mathematics with Applications,  2016.

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2017

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L. Beirão da Veiga, D. Mora, G. Rivera, R. Rodriguez,

A virtual element method for the acoustic vibration problem.

Numer. Math., 2017.

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L. Beirão da Veiga, C. Lovadina, G. Vacca,

Divergence free virtual elements for the Stokes problem on polygonal meshes.

Math. Mod. Numer. Anal. ,2017.

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H. Chi, L. Beirão da Veiga, G.H. Paulino,

Some basic formulations of the virtual element method (VEM) for finite deformations.

Comput. Meth. Appl. Mech. Engrg., 2017.

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E. Artioli, L. Beirão da Veiga, C. Lovadina, E. Sacco,

Arbitrary order 2D virtual elements for polygonal meshes: part I, elastic problem.

Comput. Mech., 2017.

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E. Artioli, L. Beirão da Veiga, C. Lovadina, E. Sacco,

Arbitrary order 2D virtual elements for polygonal meshes: part II, inelastic problem.

Comput. Mech., 2017.

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L. Beirão da Veiga, F. Brezzi, L.D. Marini, A. Russo,

Serendipity Face and Edge VEM spaces.

Rend. Lincei Math. e Appl., 2017.

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L. Beirão da Veiga, C. Lovadina, A. Russo,

Stability analysis for the virtual element method. 

Math. Mod. and Meth. Appl. Sci., 2017.

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L. Beirão da Veiga, F. Dassi, and A. Russo.

High-order virtual element method on polyhedral meshes.

Computers & Mathematics with Applications,  2017.

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L. Beirão da Veiga, F. Brezzi, F. Dassi, L.D. Marini, and  A. Russo.

Virtual element approximation of 2d magnetostatic problems.

Computer Methods in Applied Mechanics and Engineering, 2017.

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F. Gardini and G. Vacca

Virtual element method for second-order elliptic eigenvalue problems.

IMA Journal of Numerical Analysis, 2017.

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G. Vacca,

An H1-conforming virtual element for Darcy and Brinkman equations.

Mathematical Models and Methods in Applied Sciences, 2017.

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A. Ortiz‐Bernardin,  A. Russo  and N. Sukumar

Consistent and Stable Meshfree Galerkin Methods using the Virtual Element Decomposition.

International Journal for Numerical Methods in Engineering, 2017.

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2018

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L. Beirão da Veiga, C. Lovadina, G. Vacca,

Virtual elements for the Navier-Stokes problem on polygonal meshes.

SIAM J. Numer. Anal., 2018.

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L. Beirão da Veiga, A. Chernov, L. Mascotto, A. Russo,

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

Numer. Math., 2018.

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L. Beirão da Veiga, D. Mora, G. Rivera,

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

Math. Comp., 2018
 

L. Beirão da Veiga, F. Brezzi, F. Dassi, L.D. Marini, and A. Russo.
Serendipity virtual elements for general elliptic equations in three dimensions.
Chinese Annals of Mathematics, Series B, 2018.

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L. Beirão da Veiga, F. Brezzi, F. Dassi, L.D. Marini, and  A. Russo.
Lowest order virtual element approximation of magnetostatic problems.
Computer Methods in Applied Mechanics and Engineering, 2018.

F. Dassi and L. Mascotto.
Exploring high-order three dimensional virtual elements: Bases and stabilizations.
Computers & Mathematics with Applications, 2018.

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