Ilaria Perugia

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 36

Top Topics

Image Smoothing

Spatio Temporal

Finite Element Methods

Structure Preserving

Top Venues

Comput. Math. Appl.

SIAM J. Numer. Anal.

J. Sci. Comput.

Publications

Carlo Lovadina, Ilaria Perugia, Manuel Trezzi
A Nonconforming Virtual Element Method for Advection-Diffusion-Reaction Problems with CIP Stabilization. CoRR (2024)
Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
FEM-BEM coupling for the high-frequency Helmholtz problem. CoRR (2024)
Sergio Gómez, Ansgar Jüngel, Ilaria Perugia
Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems. CoRR (2024)
Sergio Gómez, Lorenzo Mascotto, Andrea Moiola, Ilaria Perugia
Space-Time Virtual Elements for the Heat Equation. SIAM J. Numer. Anal. 62 (1) (2024)
Sergio Gómez, Andrea Moiola, Ilaria Perugia, Paul Stocker
On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation. CoRR (2023)
Davide Pradovera, Monica Nonino, Ilaria Perugia
Geometry-based approximation of waves in complex domains. CoRR (2023)
Sergio Gómez, Andrea Moiola, Ilaria Perugia, Paul Stocker
On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation. Appl. Math. Lett. 146 (2023)
Sergio Gómez, Lorenzo Mascotto, Ilaria Perugia
Design and performance of a space-time virtual element method for the heat equation on prismatic meshes. CoRR (2023)
Sergio Gómez, Lorenzo Mascotto, Andrea Moiola, Ilaria Perugia
Space-time virtual elements for the heat equation. CoRR (2022)
Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev
On the limiting amplitude principle for the wave equation with variable coefficients. CoRR (2022)
Marcel Braukhoff, Ilaria Perugia, Paul Stocker
An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization. SIAM J. Numer. Anal. 60 (1) (2022)
Ilaria Perugia, Christoph Schwab, Marco Zank
Exponential Convergence of hp-Time-Stepping in Space-Time Discretizations of Parabolic PDEs. CoRR (2022)
Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev
An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients. Comput. Math. Appl. 109 (2022)
Christoph Erath, Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation. J. Sci. Comput. 92 (1) (2022)
Lorenzo Mascotto, Ilaria Perugia, Alexander Pichler
The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation. CoRR (2021)
Christoph Erath, Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
Mortar coupling of hp-discontinuous Galerkin and boundary element methods for the Helmholtz equation. CoRR (2021)
Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia, Joachim Schöberl
A Polynomial-Degree-Robust A Posteriori Error Estimator for Nédélec Discretizations of Magnetostatic Problems. SIAM J. Numer. Anal. 59 (4) (2021)
Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev
An adaptive finite element method for high-frequency scattering problems with variable coefficients. CoRR (2021)
Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia, Joachim Schöberl
A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems. CoRR (2020)
Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
FEM-BEM mortar coupling for the Helmholtz problem in three dimensions. Comput. Math. Appl. 80 (11) (2020)
Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia, Davide Pradovera
Least-Squares Padé approximation of parametric and stochastic Helmholtz maps. Adv. Comput. Math. 46 (3) (2020)
Ilaria Perugia, Joachim Schöberl, Paul Stocker, Christoph Wintersteiger
Tent pitching and Trefftz-DG method for the acoustic wave equation. Comput. Math. Appl. 79 (10) (2020)
Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia, Davide Pradovera
Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure. Math. Comput. 89 (323) (2020)
Pratyuksh Bansal, Andrea Moiola, Ilaria Perugia, Christoph Schwab
Space-time discontinuous Galerkin approximation of acoustic waves with point singularities. CoRR (2020)
Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia
An Equilibrated a Posteriori Error Estimator for Arbitrary-Order Nédélec Elements for Magnetostatic Problems. J. Sci. Comput. 83 (3) (2020)
Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
FEM-BEM mortar coupling for the Helmholtz problem in three dimensions. CoRR (2020)
Francesca Bonizzoni, Marcel Braukhoff, Ansgar Jüngel, Ilaria Perugia
A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation. Numerische Mathematik 146 (1) (2020)
Silvia Bertoluzza, Ilaria Perugia, Daniele Prada
A p-robust polygonal discontinuous Galerkin method with minus one stabilization. CoRR (2020)
Ilaria Perugia, Joachim Schöberl, Paul Stocker, Christoph Wintersteiger
Tent pitching and Trefftz-DG method for the acoustic wave equation. CoRR (2019)
Scott Congreve, Paul Houston, Ilaria Perugia
Adaptive refinement for hp-Version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Adv. Comput. Math. 45 (1) (2019)
Scott Congreve, Joscha Gedicke, Ilaria Perugia
Robust Adaptive hp Discontinuous Galerkin Finite Element Methods for the Helmholtz Equation. SIAM J. Sci. Comput. 41 (2) (2019)
Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia
An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems. CoRR (2019)
Andrea Moiola, Ilaria Perugia
A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation. Numerische Mathematik 138 (2) (2018)
Lorenzo Mascotto, Ilaria Perugia, Alexander Pichler
Non-conforming Harmonic Virtual Element Method: $$h$$ h - and $$p$$ p -Versions. J. Sci. Comput. 77 (3) (2018)
Ilaria Perugia
Peter Monk's contributions to numerical analysis and Maxwell's equations. Comput. Math. Appl. 74 (11) (2017)
Ralf Hiptmair, Andrea Moiola, Ilaria Perugia
Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the hp-Version. Found. Comput. Math. 16 (3) (2016)
Paola F. Antonietti, Ilaria Perugia, Zaliani Davide
Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods. ENUMATH (2013)
Ralf Hiptmair, Andrea Moiola, Ilaria Perugia
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. Math. Comput. 82 (281) (2013)
Fausto Cavalli, Giovanni Naldi, Ilaria Perugia
Discontinuous Galerkin Approximation of Relaxation Models for Linear and Nonlinear Diffusion Equations. SIAM J. Sci. Comput. 34 (1) (2012)
Ralf Hiptmair, Andrea Moiola, Ilaria Perugia
Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version. SIAM J. Numer. Anal. 49 (1) (2011)
Annalisa Buffa, Ilaria Perugia, Tim Warburton
The Mortar-Discontinuous Galerkin Method for the 2D Maxwell Eigenproblem. J. Sci. Comput. 40 (1-3) (2009)
Annalisa Buffa, Ilaria Perugia
Discontinuous Galerkin Approximation of the Maxwell Eigenproblem. SIAM J. Numer. Anal. 44 (5) (2006)
Paul Houston, Ilaria Perugia, Dominik Schötzau
Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation. J. Sci. Comput. 22 (1) (2005)
Paul Houston, Ilaria Perugia, Anna Schneebeli, Dominik Schötzau
Interior penalty method for the indefinite time-harmonic Maxwell equations. Numerische Mathematik 100 (3) (2005)
Peter Hansbo, Carlo Lovadina, Ilaria Perugia, Giancarlo Sangalli
A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes. Numerische Mathematik 100 (1) (2005)
Paul Houston, Ilaria Perugia, Dominik Schötzau
Mixed Discontinuous Galerkin Approximation of the Maxwell Operator. SIAM J. Numer. Anal. 42 (1) (2004)
Ilaria Perugia, Dominik Schötzau
The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Math. Comput. 72 (243) (2003)
Ilaria Perugia, Dominik Schötzau
An h-Analysis of the Local Discontinuous Galerkin Method for Diffusion Problems. J. Sci. Comput. 17 (1-4) (2002)
Bernardo Cockburn, Guido Kanschat, Ilaria Perugia, Dominik Schötzau
Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids. SIAM J. Numer. Anal. 39 (1) (2001)
Ilaria Perugia, Dominik Schötzau
On the Coupling of Local Discontinuous Galerkin and Conforming Finite Element Methods. J. Sci. Comput. 16 (4) (2001)
Ilaria Perugia, Valeria Simoncini
Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Numer. Linear Algebra Appl. 7 (7-8) (2000)
Paul Castillo, Bernardo Cockburn, Ilaria Perugia, Dominik Schötzau
An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems. SIAM J. Numer. Anal. 38 (5) (2000)
Ilaria Perugia, Valeria Simoncini, Mario Arioli
Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems. SIAM J. Sci. Comput. 21 (3) (1999)
Ilaria Perugia
A mixed formulation for 3D magnetostatic problems: theoretical analysis and face-edge finite element approximation. Numerische Mathematik 84 (2) (1999)