6 citations · 15 across the 9 of their papers we have counts for
5 papers · 1 filter
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 entropy structure preserving space-time formulation for cross-diffusion systems: Analysis and Galerkin discretization
Marcel Braukhoff, Ilaria Perugia, Paul Stocker
Cross-diffusion systems are systems of nonlinear parabolic partial differential equations that are used to describe dynamical processes in several application, including chemical c…
FEM-BEM mortar coupling for the Helmholtz problem in three dimensions
Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia +1
We present a FEM-BEM coupling strategy for time-harmonic acoustic scattering in media with variable sound speed. The coupling is realized with the aid of a mortar variable that is…
A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems
Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia +1
We present an equilibration-based a posteriori error estimator for Nédélec element discretizations of the magnetostatic problem. The estimator is obtained by adding a gradient corr…
Space-time discontinuous Galerkin approximation of acoustic waves with point singularities
Pratyuksh Bansal, Andrea Moiola, Ilaria Perugia +1
We develop a convergence theory of space-time discretizations for the linear, 2nd-order wave equation in polygonal domains , possibly occupied by piecewise ho…