25 citations · 35 across the 7 of their papers we have counts for
7 papers
The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation
L. Mascotto, I. Perugia, A. Pichler
We present a survey of the nonconforming Trefftz virtual element method for the Laplace and Helmholtz equations. For the latter, we present a new abstract analysis, based on weaker…
A virtual element method for the miscible displacement of incompressible fluids in porous media
Lourenco Beirao da Veiga, Alexander Pichler, Giuseppe Vacca
In the present contribution, we construct a virtual element (VE) discretization for the problem of miscible displacement of one incompressible fluid by another, described by a time…
A numerical study of the dispersion and dissipation properties of virtual element methods for the Helmholtz problem
Ilaria Perugia, Alexander Pichler
We study numerically the dispersion and dissipation properties of the plane wave virtual element method and the nonconforming Trefftz virtual element method for the Helmholtz probl…
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…
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…