Ilaria Perugia

According to our database, Ilaria Perugia authored at least 44 papers between 1999 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Space-Time Virtual Elements for the Heat Equation.

Sergio Gómez, Lorenzo Mascotto, Andrea Moiola, Ilaria Perugia

SIAM J. Numer. Anal., February, 2024

2023

On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation.

Sergio Gómez, Andrea Moiola, Ilaria Perugia, Paul Stocker

Appl. Math. Lett., December, 2023

Design and performance of a space-time virtual element method for the heat equation on prismatic meshes.

Sergio Gómez, Lorenzo Mascotto, Ilaria Perugia

CoRR, 2023

Geometry-based approximation of waves in complex domains.

Davide Pradovera, Monica Nonino, Ilaria Perugia

CoRR, 2023

2022

An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization.

Marcel Braukhoff, Ilaria Perugia, Paul Stocker

SIAM J. Numer. Anal., 2022

Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation.

Christoph Erath, Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder

J. Sci. Comput., 2022

Exponential Convergence of hp-Time-Stepping in Space-Time Discretizations of Parabolic PDEs.

Ilaria Perugia, Christoph Schwab, Marco Zank

CoRR, 2022

On the limiting amplitude principle for the wave equation with variable coefficients.

Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev

CoRR, 2022

An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients.

Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev

Comput. Math. Appl., 2022

2021

A Polynomial-Degree-Robust A Posteriori Error Estimator for Nédélec Discretizations of Magnetostatic Problems.

Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia, Joachim Schöberl

SIAM J. Numer. Anal., 2021

An adaptive finite element method for high-frequency scattering problems with variable coefficients.

Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev

CoRR, 2021

The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation.

Lorenzo Mascotto, Ilaria Perugia, Alexander Pichler

CoRR, 2021

2020

A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation.

Francesca Bonizzoni, Marcel Braukhoff, Ansgar Jüngel, Ilaria Perugia

Numerische Mathematik, 2020

Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure.

Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia, Davide Pradovera

Math. Comput., 2020

An Equilibrated a Posteriori Error Estimator for Arbitrary-Order Nédélec Elements for Magnetostatic Problems.

Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia

J. Sci. Comput., 2020

A p-robust polygonal discontinuous Galerkin method with minus one stabilization.

Silvia Bertoluzza, Ilaria Perugia, Daniele Prada

CoRR, 2020

Space-time discontinuous Galerkin approximation of acoustic waves with point singularities.

Pratyuksh Bansal, Andrea Moiola, Ilaria Perugia, Christoph Schwab

CoRR, 2020

Tent pitching and Trefftz-DG method for the acoustic wave equation.

Ilaria Perugia, Joachim Schöberl, Paul Stocker, Christoph Wintersteiger

Comput. Math. Appl., 2020

FEM-BEM mortar coupling for the Helmholtz problem in three dimensions.

Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder

Comput. Math. Appl., 2020

Least-Squares Padé approximation of parametric and stochastic Helmholtz maps.

Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia, Davide Pradovera

Adv. Comput. Math., 2020

2019

Robust Adaptive hp Discontinuous Galerkin Finite Element Methods for the Helmholtz Equation.

Scott Congreve, Joscha Gedicke, Ilaria Perugia

SIAM J. Sci. Comput., 2019

Adaptive refinement for hp-Version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem.

Scott Congreve, Paul Houston, Ilaria Perugia

Adv. Comput. Math., 2019

2018

A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation.

Andrea Moiola, Ilaria Perugia

Numerische Mathematik, 2018

Non-conforming Harmonic Virtual Element Method: $$h$$ h - and $$p$$ p -Versions.

Lorenzo Mascotto, Ilaria Perugia, Alexander Pichler

J. Sci. Comput., 2018

2017

Peter Monk's contributions to numerical analysis and Maxwell's equations.

Ilaria Perugia

Comput. Math. Appl., 2017

2016

Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the hp-Version.

Ralf Hiptmair, Andrea Moiola, Ilaria Perugia

Found. Comput. Math., 2016

2013

Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations.

Ralf Hiptmair, Andrea Moiola, Ilaria Perugia

Math. Comput., 2013

Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods.

Paola F. Antonietti, Ilaria Perugia, Davide Zaliani

Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2012

Discontinuous Galerkin Approximation of Relaxation Models for Linear and Nonlinear Diffusion Equations.

Fausto Cavalli, Giovanni Naldi, Ilaria Perugia

SIAM J. Sci. Comput., 2012

2011

Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version.

Ralf Hiptmair, Andrea Moiola, Ilaria Perugia

SIAM J. Numer. Anal., 2011

2009

The Mortar-Discontinuous Galerkin Method for the 2D Maxwell Eigenproblem.

Annalisa Buffa, Ilaria Perugia, Tim Warburton

J. Sci. Comput., 2009

2006

Discontinuous Galerkin Approximation of the Maxwell Eigenproblem.

Annalisa Buffa, Ilaria Perugia

SIAM J. Numer. Anal., 2006

2005

Interior penalty method for the indefinite time-harmonic Maxwell equations.

Paul Houston, Ilaria Perugia, Anna Schneebeli, Dominik Schötzau

Numerische Mathematik, 2005

A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes.

Peter Hansbo, Carlo Lovadina, Ilaria Perugia, Giancarlo Sangalli

Numerische Mathematik, 2005

Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation.

Paul Houston, Ilaria Perugia, Dominik Schötzau

J. Sci. Comput., 2005

2004

Mixed Discontinuous Galerkin Approximation of the Maxwell Operator.

Paul Houston, Ilaria Perugia, Dominik Schötzau

SIAM J. Numer. Anal., 2004

2003

The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations.

Ilaria Perugia, Dominik Schötzau

Math. Comput., 2003

2002

An h-Analysis of the Local Discontinuous Galerkin Method for Diffusion Problems.

Ilaria Perugia, Dominik Schötzau

J. Sci. Comput., 2002

2001

Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids.

Bernardo Cockburn, Guido Kanschat, Ilaria Perugia, Dominik Schötzau

SIAM J. Numer. Anal., 2001

On the Coupling of Local Discontinuous Galerkin and Conforming Finite Element Methods.

Ilaria Perugia, Dominik Schötzau

J. Sci. Comput., 2001

2000

An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems.

Paul Castillo, Bernardo Cockburn, Ilaria Perugia, Dominik Schötzau

SIAM J. Numer. Anal., 2000

Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations.

Ilaria Perugia, Valeria Simoncini

Numer. Linear Algebra Appl., 2000

1999

Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems.

Ilaria Perugia, Valeria Simoncini, Mario Arioli

SIAM J. Sci. Comput., 1999

A mixed formulation for 3D magnetostatic problems: theoretical analysis and face-edge finite element approximation.

Ilaria Perugia

Numerische Mathematik, 1999