38 citations · 122 across the 17 of their papers we have counts for
6 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…
Extension of the nonconforming Trefftz virtual element method to the Helmholtz problem with piecewise constant wave number
L. Mascotto, A. Pichler
We extend the nonconforming Trefftz virtual element method introduced in arXiv:1805.05634 to the case of the fluid-fluid interface problem, that is, a Helmholtz problem with piecew…
A nonconforming Trefftz virtual element method for the Helmholtz problem: numerical aspects
L. Mascotto, I. Perugia, A. Pichler
We discuss the implementation details and the numerical performance of the recently introduced nonconforming Trefftz virtual element method for the 2D Helmholtz problem. In particu…
A nonconforming Trefftz virtual element method for the Helmholtz problem
L. Mascotto, I. Perugia, A. Pichler
We introduce a novel virtual element method (VEM) for the two dimensional Helmholtz problem endowed with impedance boundary conditions. Local approximation spaces consist of Trefft…
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…
Non-conforming harmonic virtual element method: - and -versions
Lorenzo Mascotto, Ilaria Perugia, Alexander Pichler
We study the - and -versions of non-conforming harmonic virtual element methods (VEM) for the approximation of the Dirichlet-Laplace problem on a 2D polygonal domain, providi…