99 citations · 430 across the 30 of their papers we have counts for
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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…
Tent pitching and Trefftz-DG method for the acoustic wave equation
Ilaria Perugia, Joachim Schöberl, Paul Stocker +1
We present a space-time Trefftz discontinuous Galerkin method for approximating the acoustic wave equation semi-explicitly on tent pitched meshes. DG Trefftz methods use discontinu…
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…
A structure-preserving discontinuous Galerkin scheme for the Fischer-KPP equation
Francesca Bonizzoni, Marcel Braukhoff, Ansgar Jüngel +1
An implicit Euler discontinuous Galerkin scheme for the Fisher-Kolmogorov-Petrovsky-Piscounov (Fisher-KPP) equation for population densities with no-flux boundary conditions is sug…