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BDDC Preconditioners for Virtual Element Approximations of the Three-Dimensional Stokes Equations
Tommaso Bevilacqua, Franco Dassi, Stefano Zampini and Simone Scacchi SIAM Journal on Scientific Computing 46(1) A156 (2024) https://doi.org/10.1137/23M1567679
A stabilization-free Virtual Element Method based on divergence-free projections
Stefano Berrone, Andrea Borio and Francesca Marcon Computer Methods in Applied Mechanics and Engineering 424 116885 (2024) https://doi.org/10.1016/j.cma.2024.116885
Reduced basis stabilization and post-processing for the virtual element method
Fabio Credali, Silvia Bertoluzza and Daniele Prada Computer Methods in Applied Mechanics and Engineering 420 116693 (2024) https://doi.org/10.1016/j.cma.2023.116693
hp-Robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs
Michael Innerberger, Ani Miraçi, Dirk Praetorius and Julian Streitberger ESAIM: Mathematical Modelling and Numerical Analysis 58(1) 247 (2024) https://doi.org/10.1051/m2an/2023104
A deep learning algorithm to accelerate algebraic multigrid methods in finite element solvers of 3D elliptic PDEs
Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method
Paola F. Antonietti, Stefano Berrone, Martina Busetto and Marco Verani SIAM Journal on Numerical Analysis 61(1) 223 (2023) https://doi.org/10.1137/21M1466864
The role of stabilization in the virtual element method: A survey
Tommaso Sorgente, Daniele Prada, Daniela Cabiddu, et al. SEMA SIMAI Springer Series, The Virtual Element Method and its Applications 31 1 (2022) https://doi.org/10.1007/978-3-030-95319-5_1
An improved multigrid solver for the p-hierarchical basis finite element method using a space decomposition smoother
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
A fully discrete virtual element scheme for the Cahn–Hilliard equation in mixed form
Numerical Mathematics and Advanced Applications ENUMATH 2017
Paola F. Antonietti, Stefano Berrone, Marco Verani and Steffen Weißer Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2017 126 725 (2019) https://doi.org/10.1007/978-3-319-96415-7_67
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) https://doi.org/10.1051/m2an/2018052
The harmonic virtual element method: stabilization and exponential convergence for the Laplace problem on polygonal domains