1 citations · 1 across the 3 of their papers we have counts for
7 papers
Exponential Convergence of -Time-Stepping in Space-Time Discretizations of Parabolic PDEs
Ilaria Perugia, Christoph Schwab, Marco Zank
For linear parabolic initial-boundary value problems with self-adjoint, time-homogeneous elliptic spatial operator in divergence form with Lipschitz-continuous coefficients, and fo…
On the exponential time-decay for the one-dimensional wave equation with variable coefficients
Anton Arnold, Sjoerd Geevers, Ilaria Perugia +1
We consider the initial-value problem for the one-dimensional, time-dependent wave equation with positive, Lipschitz continuous coefficients, which are constant outside a bounded r…
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 p-robust polygonal discontinuous Galerkin method with minus one stabilization
Silvia Bertoluzza, Ilaria Perugia, Daniele Prada
We introduce a new stabilization for discontinuous Galerkin methods for the Poisson problem on polygonal meshes, which induces optimal convergence rates in the polynomial approxima…
An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems
Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia
We present a novel \textit{a posteriori} error estimator for Nédélec elements for magnetostatic problems that is constant-free, i.e. it provides an upper bound on the error that do…
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…