73 citations · 364 across the 42 of their papers we have counts for
8 papers · 1 filter
The - and -versions of the virtual element method for elliptic eigenvalue problems
O. Certik, F. Gardini, G. Manzini +2
We discuss the - and the -versions of the virtual element method for the approximation of eigenpairs of elliptic operators with a potential term on polygonal meshes. An appl…
The conforming virtual element method for polyharmonic problems
P. F. Antonietti, G. Manzini, M. Verani
In this work, we exploit the capability of virtual element methods in accommodating approximation spaces featuring high-order continuity to numerically approximate differential pro…
A Semi-Lagrangian Spectral Method for the Vlasov-Poisson System based on Fourier, Legendre and Hermite Polynomials
Lorella Fatone, Daniele Funaro, Gianmarco Manzini
In this work, we apply a semi-Lagrangian spectral method for the Vlasov-Poisson system, previously designed for periodic Fourier discretizations, by implementing Legendre polynomia…
SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations
Stefano Berrone, Andrea Borio, Gianmarco Manzini
We present the design, convergence analysis and numerical investigations of the nonconforming virtual element method with Streamline Upwind/Petrov-Galerkin (VEM-SUPG) stabilization…
Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system
Lorella Fatone, Daniele Funaro, Gianmarco Manzini
The Vlasov-Poisson system, modeling the evolution of non-collisional plasmas in the electrostatic limit, is approx- imated by a Semi-Lagrangian technique. Spectral methods of perio…
A posteriori error estimation and adaptivity in virtual elements
L. Beirão da Veiga, G. Manzini, L. Mascotto
An explicit and computable error estimator for the version of the virtual element method (VEM), together with lower and upper bounds with respect to the exact energy error, is…
The virtual element method for eigenvalue problems with potential terms on polytopal meshes
Ondrej Certik, Francesca Gardini, Gianmarco Manzini +1
We extend the conforming virtual element method to the numerical resolution of eigenvalue problems with potential terms on a polytopal mesh. An important application is that of the…
The nonconforming virtual element method for eigenvalue problems
Francesca Gardini, Gianmarco Manzini, Giuseppe Vacca
We analyse the nonconforming Virtual Element Method (VEM) for the approximation of elliptic eigenvalue problems. The nonconforming VEM allow to treat in the same formulation the tw…