3 papers
math.NA2021
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…
math.NA2019
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…
math.NA2019
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…