99 citations · 430 across the 30 of their papers we have counts for
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Robust adaptive hp discontinuous Galerkin finite element methods for the Helmholtz equation
Scott Congreve, Joscha Gedicke, Ilaria Perugia
This paper presents an a posteriori error analysis for the 2D Helmholtz equation that is robust in the polynomial degree and the wave number . For the discretization, w…
Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure
Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia +1
In this work, we consider the approximation of Hilbert space-valued meromorphic functions that arise as solution maps of parametric PDEs whose operator is the shift of an operator…
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…
Least-Squares Padé approximation of parametric and stochastic Helmholtz maps
Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia +1
The present work deals with the rational model order reduction method based on the single-point Least-Square (LS) Padé approximation technique introduced in [3]. Algorithmical aspe…
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…