A mixed formulation for 3D magnetostatic problems: theoretical analysis and face-edge finite element approximation. - Ilaria Perugia (Numerische Mathematik, 1999)

Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems. - Ilaria Perugia; Valeria Simoncini; Mario Arioli (SIAM J. Sci. Comput., 1999)

Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. - Ilaria Perugia; Valeria Simoncini (Numer. Linear Algebra Appl., 2000)

An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems. - Paul Castillo 001; Bernardo Cockburn; Ilaria Perugia; Dominik Schötzau (SIAM J. Numer. Anal., 2000)

On the Coupling of Local Discontinuous Galerkin and Conforming Finite Element Methods. - Ilaria Perugia; Dominik Schötzau (J. Sci. Comput., 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)

An h-Analysis of the Local Discontinuous Galerkin Method for Diffusion Problems. - Ilaria Perugia; Dominik Schötzau (J. Sci. Comput., 2002)

The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. - Ilaria Perugia; Dominik Schötzau (Math. Comput., 2003)

Mixed Discontinuous Galerkin Approximation of the Maxwell Operator. - Paul Houston; Ilaria Perugia; Dominik Schötzau (SIAM J. Numer. Anal., 2004)

Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation. - Paul Houston; Ilaria Perugia; Dominik Schötzau (J. Sci. Comput., 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)

Interior penalty method for the indefinite time-harmonic Maxwell equations. - Paul Houston; Ilaria Perugia; Anna Schneebeli; Dominik Schötzau (Numerische Mathematik, 2005)

Discontinuous Galerkin Approximation of the Maxwell Eigenproblem. - Annalisa Buffa; Ilaria Perugia (SIAM J. Numer. Anal., 2006)

The Mortar-Discontinuous Galerkin Method for the 2D Maxwell Eigenproblem. - Annalisa Buffa; Ilaria Perugia; Tim Warburton (J. Sci. Comput., 2009)

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)

Discontinuous Galerkin Approximation of Relaxation Models for Linear and Nonlinear Diffusion Equations. - Fausto Cavalli; Giovanni Naldi; Ilaria Perugia (SIAM J. Sci. Comput., 2012)

Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods. - Paola F. Antonietti; Ilaria Perugia; Davide Zaliani (ENUMATH, 2013)

Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. - Ralf Hiptmair; Andrea Moiola; Ilaria Perugia (Math. Comput., 2013)

Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the hp-Version. - Ralf Hiptmair; Andrea Moiola; Ilaria Perugia (Found. Comput. Math., 2016)

Peter Monk's contributions to numerical analysis and Maxwell's equations. - Ilaria Perugia (Comput. Math. Appl., 2017)

Non-conforming Harmonic Virtual Element Method: $$h$$ h - and $$p$$ p -Versions. - Lorenzo Mascotto; Ilaria Perugia; Alexander Pichler (J. Sci. Comput., 2018)

A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation. - Andrea Moiola; Ilaria Perugia (Numerische Mathematik, 2018)

Adaptive refinement for hp-Version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. - Scott Congreve; Paul Houston; Ilaria Perugia (Adv. Comput. Math., 2019)

Robust Adaptive hp Discontinuous Galerkin Finite Element Methods for the Helmholtz Equation. - Scott Congreve; Joscha Gedicke; Ilaria Perugia (SIAM J. Sci. Comput., 2019)

Least-Squares Padé approximation of parametric and stochastic Helmholtz maps. - Francesca Bonizzoni; Fabio Nobile; Ilaria Perugia; Davide Pradovera (Adv. Comput. Math., 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)

Tent pitching and Trefftz-DG method for the acoustic wave equation. - Ilaria Perugia; Joachim Schöberl; Paul Stocker; Christoph Wintersteiger (Comput. Math. Appl., 2020)

Space-time discontinuous Galerkin approximation of acoustic waves with point singularities. - Pratyuksh Bansal; Andrea Moiola; Ilaria Perugia; Christoph Schwab (CoRR, 2020)

A p-robust polygonal discontinuous Galerkin method with minus one stabilization. - Silvia Bertoluzza; Ilaria Perugia; Daniele Prada (CoRR, 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)

Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure. - Francesca Bonizzoni; Fabio Nobile; Ilaria Perugia; Davide Pradovera (Math. Comput., 2020)

A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation. - Francesca Bonizzoni; Marcel Braukhoff; Ansgar Jüngel; Ilaria Perugia (Numerische Mathematik, 2020)

The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation. - Lorenzo Mascotto; Ilaria Perugia; Alexander Pichler (CoRR, 2021)

An adaptive finite element method for high-frequency scattering problems with variable coefficients. - Anton Arnold; Sjoerd Geevers; Ilaria Perugia; Dmitry Ponomarev 002 (CoRR, 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 smoothly varying coefficients. - Anton Arnold; Sjoerd Geevers; Ilaria Perugia; Dmitry Ponomarev 002 (Comput. Math. Appl., 2022)

On the limiting amplitude principle for the wave equation with variable coefficients. - Anton Arnold; Sjoerd Geevers; Ilaria Perugia; Dmitry Ponomarev 002 (CoRR, 2022)

Exponential Convergence of hp-Time-Stepping in Space-Time Discretizations of Parabolic PDEs. - Ilaria Perugia; Christoph Schwab; Marco Zank (CoRR, 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)

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)

Design and performance of a space-time virtual element method for the heat equation on prismatic meshes. - Sergio Gómez 001; Lorenzo Mascotto; Ilaria Perugia (CoRR, 2023)

On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation. - Sergio Gómez 001; Andrea Moiola; Ilaria Perugia; Paul Stocker (Appl. Math. Lett., 2023)

Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems. - Sergio Gómez 001; Ansgar Jüngel; Ilaria Perugia (CoRR, 2024)

A Nonconforming Virtual Element Method for Advection-Diffusion-Reaction Problems with CIP Stabilization. - Carlo Lovadina; Ilaria Perugia; Manuel Trezzi (CoRR, 2024)

FEM-BEM coupling for the high-frequency Helmholtz problem. - Jens Markus Melenk; Ilaria Perugia; Alexander Rieder (CoRR, 2024)

Unconditionally stable space-time isogeometric discretization for the wave equation in Hamiltonian formulation. - Matteo Ferrari; Sara Fraschini; Gabriele Loli; Ilaria Perugia (CoRR, 2024)

Symplectic QTT-FEM solution of the one-dimensional acoustic wave equation in the time domain. - Sara Fraschini; Vladimir Kazeev; Ilaria Perugia (CoRR, 2024)

Space-Time Virtual Elements for the Heat Equation. - Sergio Gómez 001; Lorenzo Mascotto; Andrea Moiola; Ilaria Perugia (SIAM J. Numer. Anal., 2024)

Geometry-Based Approximation of Waves in Complex Domains. - Davide Pradovera; Monica Nonino; Ilaria Perugia (SIAM J. Appl. Math., 2025)

Surrogate modeling of resonant behavior in scattering problems through adaptive rational approximation and sketching. - Davide Pradovera; Ralf Hiptmair; Ilaria Perugia (CoRR, 2025)

Space-time discretization of the wave equation in a second-order-in-time formulation: a conforming, unconditionally stable method. - Matteo Ferrari; Ilaria Perugia (CoRR, 2025)

A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases. - Paola F. Antonietti; Mattia Corti; Sergio Gómez 001; Ilaria Perugia (CoRR, 2025)

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation. - Matteo Ferrari; Ilaria Perugia; Enrico Zampa (CoRR, 2025)