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Challenges and Advancements in Virtual Elements

Publikacje

A C 1 Virtual Element Method on polyhedral meshes

Autorzy: L. Beirão da Veiga, F. Dassi, A. Russo
Opublikowane w: Computers & Mathematics with Applications, Numer 79/7, 2020, Strona(/y) 1936-1955, ISSN 0898-1221
Wydawca: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2019.06.019

Polynomial preserving virtual elements with curved edges

Autorzy: L. Beirão da Veiga, F. Brezzi, L. D. Marini, A. Russo
Opublikowane w: Mathematical Models and Methods in Applied Sciences, Numer 30/08, 2020, Strona(/y) 1555-1590, ISSN 0218-2025
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218202520500311

Parallel block preconditioners for three-dimensional virtual element discretizations of saddle-point problems

Autorzy: F. Dassi, S. Scacchi
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 372, 2020, Strona(/y) 113424, ISSN 0045-7825
Wydawca: Elsevier BV
DOI: 10.1016/j.cma.2020.113424

The Stokes Complex for Virtual Elements with Application to Navier–Stokes Flows

Autorzy: L. Beirão da Veiga, D. Mora, G. Vacca
Opublikowane w: Journal of Scientific Computing, Numer 81/2, 2019, Strona(/y) 990-1018, ISSN 0885-7474
Wydawca: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-019-01049-3

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

Autorzy: L. Beirão da Veiga, C. Canuto, R. H. Nochetto, G. Vacca
Opublikowane w: Mathematical Models and Methods in Applied Sciences, 2021, Strona(/y) 1-50, ISSN 0218-2025
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218202521500275

Curvilinear virtual elements for contact mechanics

Autorzy: Fadi Aldakheel, Blaž Hudobivnik, Edoardo Artioli, Lourenço Beirão da Veiga, Peter Wriggers
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 372, 2020, Strona(/y) 113394, ISSN 0045-7825
Wydawca: Elsevier BV
DOI: 10.1016/j.cma.2020.113394

An adaptive curved virtual element method for the statistical homogenization of random fibre-reinforced composites

Autorzy: E. Artioli, L. Beirão da Veiga, M. Verani
Opublikowane w: Finite Elements in Analysis and Design, Numer 177, 2020, Strona(/y) 103418, ISSN 0168-874X
Wydawca: Elsevier BV
DOI: 10.1016/j.finel.2020.103418

Stability analysis for the virtual element method

Autorzy: Lourenço Beirão da Veiga, Carlo Lovadina, Alessandro Russo
Opublikowane w: Mathematical Models and Methods in Applied Sciences, Numer 27/13, 2017, Strona(/y) 2557-2594, ISSN 0218-2025
Wydawca: World Scientific Publishing Co
DOI: 10.1142/S021820251750052X

High-order Virtual Element Method on polyhedral meshes

Autorzy: L. Beirão da Veiga, F. Dassi, A. Russo
Opublikowane w: Computers & Mathematics with Applications, Numer 74/5, 2017, Strona(/y) 1110-1122, ISSN 0898-1221
Wydawca: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2017.03.021

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

Autorzy: H. Chi, L. Beirão da Veiga, G.H. Paulino
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 318, 2017, Strona(/y) 148-192, ISSN 0045-7825
Wydawca: Elsevier BV
DOI: 10.1016/j.cma.2016.12.020

Virtual Element approximation of 2D magnetostatic problems

Autorzy: L. Beirão da Veiga, F. Brezzi, F. Dassi, L.D. Marini, A. Russo
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 327, 2017, Strona(/y) 173-195, ISSN 0045-7825
Wydawca: Elsevier BV
DOI: 10.1016/j.cma.2017.08.013

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

Autorzy: L. Beirão da Veiga, A. Chernov, L. Mascotto, A. Russo
Opublikowane w: Numerische Mathematik, Numer 138, 2017, Strona(/y) 581–613, ISSN 0029-599X
Wydawca: Springer Verlag
DOI: 10.1007/s00211-017-0921-7

Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes

Autorzy: L. Beira͂o da Veiga, C. Lovadina, G. Vacca
Opublikowane w: SIAM Journal on Numerical Analysis, Numer 56/3, 2018, Strona(/y) 1210-1242, ISSN 0036-1429
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/17m1132811

The Virtual Element Method with curved edges

Autorzy: Lourenço Beirão da Veiga, Alessandro Russo, Giuseppe Vacca
Opublikowane w: ESAIM: Mathematical Modelling and Numerical Analysis, 2019, ISSN 0764-583X
Wydawca: EDP Sciences
DOI: 10.1051/m2an/2018052

Virtual Element approximations of the Vector Potential Formulation of Magnetostatic problems

Autorzy: Lourenço Beirão da Veiga, Franco Brezzi, L. Donatella Marini, Alessandro Russo
Opublikowane w: SMAI Journal of Computational Mathematics, Numer 4, 2018, Strona(/y) 399-416, ISSN 2426-8399
Wydawca: SMAI
DOI: 10.5802/smai-jcm.40

Lowest order Virtual Element approximation of magnetostatic problems

Autorzy: L. Beirão da Veiga, F. Brezzi, F. Dassi, L.D. Marini, A. Russo
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 332, 2018, Strona(/y) 343-362, ISSN 0045-7825
Wydawca: Elsevier BV
DOI: 10.1016/j.cma.2017.12.028

A posteriori error estimation and adaptivity in hp virtual elements

Autorzy: L. Beirao da Veiga, G. Manzini, L. Mascotto
Opublikowane w: Numerische Mathematik, 2019, ISSN 0945-3245
Wydawca: Springer Verlag
DOI: 10.1007/s00211-019-01054-6

The Stokes complex for Virtual Elements in three dimensions

Autorzy: L. Beirão da Veiga, F. Dassi, G. Vacca
Opublikowane w: Mathematical Models and Methods in Applied Sciences, Numer 30/03, 2020, Strona(/y) 477-512, ISSN 0218-2025
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218202520500128

Curvilinear Virtual Elements for 2D solid mechanics applications

Autorzy: E. Artioli, L. Beirão da Veiga, F. Dassi
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 359, 2020, Strona(/y) 112667, ISSN 0045-7825
Wydawca: Elsevier BV
DOI: 10.1016/j.cma.2019.112667

A virtual element method for the miscible displacement of incompressible fluids in porous media

Autorzy: L. Beirão da Veiga, A. Pichler, G. Vacca
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 375, 2021, Strona(/y) 113649, ISSN 0045-7825
Wydawca: Elsevier BV
DOI: 10.1016/j.cma.2020.113649

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