Ilaria Perugia

65 papers Journal 64Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases. Math. Comput. Simul. Paola F. Antonietti, Mattia Corti, Sergio Gómez, Ilaria Perugia
2026	J	`jnl`	Stability, convergence, and geometric properties of second-order-in-time space-time discretizations for linear and semilinear wave equations. CoRR Matteo Ferrari, Ilaria Perugia, Enrico Zampa
2025	J	`jnl`	A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases. CoRR Paola F. Antonietti, Mattia Corti, Sergio Gómez, Ilaria Perugia
2025	J	`jnl`	Geometry-Based Approximation of Waves in Complex Domains. SIAM J. Appl. Math. Davide Pradovera, Monica Nonino, Ilaria Perugia
2025	J	`jnl`	Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation. CoRR Matteo Ferrari, Ilaria Perugia, Enrico Zampa
2025	J	`jnl`	Space-time discretization of the wave equation in a second-order-in-time formulation: a conforming, unconditionally stable method. CoRR Matteo Ferrari, Ilaria Perugia
2025	J	`jnl`	Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems. CoRR Paola F. Antonietti, Mattia Corti, Sergio Gómez, Ilaria Perugia
2025	J	`jnl`	Surrogate Modeling of Resonant Behavior in Scattering Problems Through Adaptive Rational Approximation and Sketching. J. Sci. Comput. Davide Pradovera, Ralf Hiptmair, Ilaria Perugia
2025	J	`jnl`	Surrogate modeling of resonant behavior in scattering problems through adaptive rational approximation and sketching. CoRR Davide Pradovera, Ralf Hiptmair, Ilaria Perugia
2024	J	`jnl`	A Nonconforming Virtual Element Method for Advection-Diffusion-Reaction Problems with CIP Stabilization. CoRR Carlo Lovadina, Ilaria Perugia, Manuel Trezzi
2024	J	`jnl`	FEM-BEM coupling for the high-frequency Helmholtz problem. CoRR Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
2024	J	`jnl`	Space-Time Virtual Elements for the Heat Equation. SIAM J. Numer. Anal. Sergio Gómez, Lorenzo Mascotto, Andrea Moiola, Ilaria Perugia
2024	J	`jnl`	Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems. CoRR Sergio Gómez, Ansgar Jüngel, Ilaria Perugia
2024	J	`jnl`	Symplectic QTT-FEM solution of the one-dimensional acoustic wave equation in the time domain. CoRR Sara Fraschini, Vladimir Kazeev, Ilaria Perugia
2024	J	`jnl`	Unconditionally stable space-time isogeometric discretization for the wave equation in Hamiltonian formulation. CoRR Matteo Ferrari, Sara Fraschini, Gabriele Loli, Ilaria Perugia
2023	J	`jnl`	Design and performance of a space-time virtual element method for the heat equation on prismatic meshes. CoRR Sergio Gómez, Lorenzo Mascotto, Ilaria Perugia
2023	J	`jnl`	Geometry-based approximation of waves in complex domains. CoRR Davide Pradovera, Monica Nonino, Ilaria Perugia
2023	J	`jnl`	On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation. Appl. Math. Lett. Sergio Gómez, Andrea Moiola, Ilaria Perugia, Paul Stocker
2023	J	`jnl`	On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation. CoRR Sergio Gómez, Andrea Moiola, Ilaria Perugia, Paul Stocker
2022	J	`jnl`	An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization. SIAM J. Numer. Anal. Marcel Braukhoff, Ilaria Perugia, Paul Stocker
2022	J	`jnl`	An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients. Comput. Math. Appl. Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev
2022	J	`jnl`	Exponential Convergence of hp-Time-Stepping in Space-Time Discretizations of Parabolic PDEs. CoRR Ilaria Perugia, Christoph Schwab, Marco Zank
2022	J	`jnl`	Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation. J. Sci. Comput. Christoph Erath, Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
2022	J	`jnl`	On the limiting amplitude principle for the wave equation with variable coefficients. CoRR Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev
2022	J	`jnl`	Space-time virtual elements for the heat equation. CoRR Sergio Gómez, Lorenzo Mascotto, Andrea Moiola, Ilaria Perugia
2021	J	`jnl`	A Polynomial-Degree-Robust A Posteriori Error Estimator for Nédélec Discretizations of Magnetostatic Problems. SIAM J. Numer. Anal. Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia, Joachim Schöberl
2021	J	`jnl`	An adaptive finite element method for high-frequency scattering problems with variable coefficients. CoRR Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev
2021	J	`jnl`	Mortar coupling of hp-discontinuous Galerkin and boundary element methods for the Helmholtz equation. CoRR Christoph Erath, Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
2021	J	`jnl`	The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation. CoRR Lorenzo Mascotto, Ilaria Perugia, Alexander Pichler
2020	J	`jnl`	A p-robust polygonal discontinuous Galerkin method with minus one stabilization. CoRR Silvia Bertoluzza, Ilaria Perugia, Daniele Prada
2020	J	`jnl`	A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems. CoRR Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia, Joachim Schöberl
2020	J	`jnl`	A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation. Numerische Mathematik Francesca Bonizzoni, Marcel Braukhoff, Ansgar Jüngel, Ilaria Perugia
2020	J	`jnl`	An Equilibrated a Posteriori Error Estimator for Arbitrary-Order Nédélec Elements for Magnetostatic Problems. J. Sci. Comput. Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia
2020	J	`jnl`	FEM-BEM mortar coupling for the Helmholtz problem in three dimensions. Comput. Math. Appl. Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
2020	J	`jnl`	FEM-BEM mortar coupling for the Helmholtz problem in three dimensions. CoRR Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
2020	J	`jnl`	Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure. Math. Comput. Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia, Davide Pradovera
2020	J	`jnl`	Least-Squares Padé approximation of parametric and stochastic Helmholtz maps. Adv. Comput. Math. Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia, Davide Pradovera
2020	J	`jnl`	Space-time discontinuous Galerkin approximation of acoustic waves with point singularities. CoRR Pratyuksh Bansal, Andrea Moiola, Ilaria Perugia, Christoph Schwab
2020	J	`jnl`	Tent pitching and Trefftz-DG method for the acoustic wave equation. Comput. Math. Appl. Ilaria Perugia, Joachim Schöberl, Paul Stocker, Christoph Wintersteiger
2019	J	`jnl`	Adaptive refinement for hp-Version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Adv. Comput. Math. Scott Congreve, Paul Houston, Ilaria Perugia
2019	J	`jnl`	An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems. CoRR Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia
2019	J	`jnl`	Robust Adaptive hp Discontinuous Galerkin Finite Element Methods for the Helmholtz Equation. SIAM J. Sci. Comput. Scott Congreve, Joscha Gedicke, Ilaria Perugia
2019	J	`jnl`	Tent pitching and Trefftz-DG method for the acoustic wave equation. CoRR Ilaria Perugia, Joachim Schöberl, Paul Stocker, Christoph Wintersteiger
2018	J	`jnl`	A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation. Numerische Mathematik Andrea Moiola, Ilaria Perugia
2018	J	`jnl`	Non-conforming Harmonic Virtual Element Method: $$h$$ h - and $$p$$ p -Versions. J. Sci. Comput. Lorenzo Mascotto, Ilaria Perugia, Alexander Pichler
2017	J	`jnl`	Peter Monk's contributions to numerical analysis and Maxwell's equations. Comput. Math. Appl. Ilaria Perugia
2016	J	`jnl`	Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the hp-Version. Found. Comput. Math. Ralf Hiptmair, Andrea Moiola, Ilaria Perugia
2013	J	`jnl`	Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. Math. Comput. Ralf Hiptmair, Andrea Moiola, Ilaria Perugia
2013	—	`conf`	Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods. ENUMATH Paola F. Antonietti, Ilaria Perugia, Davide Zaliani
2012	J	`jnl`	Discontinuous Galerkin Approximation of Relaxation Models for Linear and Nonlinear Diffusion Equations. SIAM J. Sci. Comput. Fausto Cavalli, Giovanni Naldi, Ilaria Perugia
2011	J	`jnl`	Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version. SIAM J. Numer. Anal. Ralf Hiptmair, Andrea Moiola, Ilaria Perugia
2009	J	`jnl`	The Mortar-Discontinuous Galerkin Method for the 2D Maxwell Eigenproblem. J. Sci. Comput. Annalisa Buffa, Ilaria Perugia, Tim Warburton
2006	J	`jnl`	Discontinuous Galerkin Approximation of the Maxwell Eigenproblem. SIAM J. Numer. Anal. Annalisa Buffa, Ilaria Perugia
2005	J	`jnl`	A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes. Numerische Mathematik Peter Hansbo, Carlo Lovadina, Ilaria Perugia, Giancarlo Sangalli
2005	J	`jnl`	Interior penalty method for the indefinite time-harmonic Maxwell equations. Numerische Mathematik Paul Houston, Ilaria Perugia, Anna Schneebeli, Dominik Schötzau
2005	J	`jnl`	Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation. J. Sci. Comput. Paul Houston, Ilaria Perugia, Dominik Schötzau
2004	J	`jnl`	Mixed Discontinuous Galerkin Approximation of the Maxwell Operator. SIAM J. Numer. Anal. Paul Houston, Ilaria Perugia, Dominik Schötzau
2003	J	`jnl`	The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Math. Comput. Ilaria Perugia, Dominik Schötzau
2002	J	`jnl`	An h-Analysis of the Local Discontinuous Galerkin Method for Diffusion Problems. J. Sci. Comput. Ilaria Perugia, Dominik Schötzau
2001	J	`jnl`	On the Coupling of Local Discontinuous Galerkin and Conforming Finite Element Methods. J. Sci. Comput. Ilaria Perugia, Dominik Schötzau
2001	J	`jnl`	Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids. SIAM J. Numer. Anal. Bernardo Cockburn, Guido Kanschat, Ilaria Perugia, Dominik Schötzau
2000	J	`jnl`	An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems. SIAM J. Numer. Anal. Paul Castillo, Bernardo Cockburn, Ilaria Perugia, Dominik Schötzau
2000	J	`jnl`	Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Numer. Linear Algebra Appl. Ilaria Perugia, Valeria Simoncini
1999	J	`jnl`	A mixed formulation for 3D magnetostatic problems: theoretical analysis and face-edge finite element approximation. Numerische Mathematik Ilaria Perugia
1999	J	`jnl`	Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems. SIAM J. Sci. Comput. Ilaria Perugia, Valeria Simoncini, Mario Arioli