World's Best Scientists 2026 revealed!
Ilaria Perugia

Ilaria Perugia

D-Index & Metrics

Mathematics

D-Index
32
Citations
5133
World Ranking
3159
National Ranking
40

Overview

Ilaria Perugia is affiliated with the University of Vienna in Austria and has contributed extensively to the fields of engineering and mathematics. Their research emphasizes computational mechanics, numerical analysis, and mathematical physics, with a particular focus on advanced numerical methods and electromagnetic simulation.

The main fields of study for Ilaria Perugia include:

  • Engineering
  • Mathematics

The subfields covered in their research comprise:

  • Computational Mechanics
  • Electrical and Electronic Engineering
  • Numerical Analysis
  • Mathematical Physics
  • Computational Theory and Mathematics

Key research topics explored by Perugia involve:

  • Advanced Numerical Methods in Computational Mathematics
  • Electromagnetic Simulation and Numerical Methods
  • Numerical methods in engineering
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods for differential equations
  • Electromagnetic Scattering and Analysis
  • Numerical methods in inverse problems

Some of the recent papers authored or co-authored by Ilaria Perugia include:

  • Space-time discontinuous Galerkin approximation of acoustic waves with point singularities, 2020, arXiv (Cornell University)
  • A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation, 2020, Numerische Mathematik
  • FEM-BEM mortar coupling for the Helmholtz problem in three dimensions, 2020, BOA (University of Milano-Bicocca)
  • An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization, 2022, SIAM Journal on Numerical Analysis
  • Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation, 2022, Journal of Scientific Computing

Frequent co-authors collaborating with Perugia include:

  • Lorenzo Mascotto
  • Sergio Gómez
  • Sjoerd Geevers
  • Andrea Moiola
  • Anton Arnold

The most common venues where Ilaria Perugia publishes are:

  • arXiv (Cornell University)
  • SIAM Journal on Numerical Analysis
  • ESAIM. Mathematical modelling and numerical analysis
  • Computers & Mathematics with Applications
  • Journal of Scientific Computing

Best Publications

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

    Paul Castillo;Bernardo Cockburn

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

    Bernardo Cockburn;Guido Kanschat;Ilaria Perugia;Dominik Schötzau

  • Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation

    Daniele Boffi;Paolo Fernandes;Lucia Gastaldi;Ilaria Perugia

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

    Paul Houston;Ilaria Perugia;Anna Schneebeli;Dominik Schötzau

  • PLANE WAVE DISCONTINUOUS GALERKIN METHODS: ANALYSIS OF THE h-VERSION ∗, ∗∗

    Claude J. Gittelson;Ralf Hiptmair;Ilaria Perugia

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

    R. Hiptmair;A. Moiola;I. Perugia

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

    Valeria Simoncini;Ilaria Perugia;Ilaria Perugia

  • An hp -Analysis of the Local Discontinuous Galerkin Method for Diffusion Problems

    Ilaria Perugia;Dominik Schötzau

  • Discontinuous Galerkin Approximation of the Maxwell Eigenproblem

    Annalisa Buffa;Ilaria Perugia

  • Plane wave approximation of homogeneous Helmholtz solutions

    Andrea Moiola;R. Hiptmair;I. Perugia

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

    Ilaria Perugia;Dominik Schötzau

  • Mixed Discontinuous Galerkin Approximation of the Maxwell Operator

    Paul Houston;Ilaria Perugia;Dominik Schotzau

  • Stabilized interior penalty methods for the time-harmonic Maxwell equations

    I. Perugia;D. Schötzau;P. Monk

  • A plane wave virtual element method for the Helmholtz problem

    Ilaria Perugia;Ilaria Perugia;Paola Pietra;Alessandro Russo

  • 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

  • Discontinuous Galerkin approximation of the Laplace eigenproblem

    Paola F. Antonietti;Annalisa Buffa;Ilaria Perugia

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

    Ralf Hiptmair;Andrea Moiola;Andrea Moiola;Ilaria Perugia

  • A Survey of Trefftz Methods for the Helmholtz Equation

    Ralf Hiptmair;Andrea Moiola;Ilaria Perugia

  • Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes

    Annalisa Buffa;Paul Houston;Ilaria Perugia

  • Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator

    Paul Houston;Ilaria Perugia;Dominik Schötzau

  • An a posteriori error indicator for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations

    Paul Houston;Ilaria Perugia;Dominik Schötzau

  • Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case

    Paul Houston;Ilaria Perugia;Anna Schneebeli;Dominik Schötzau

  • DISCONTINUOUS GALERKIN APPROXIMATION OF THE

    Maxwell Eigenproblem;Ilaria Perugia

Frequent Co-Authors

Ralf Hiptmair
Ralf Hiptmair ETH Zurich
Dominik Schötzau
Dominik Schötzau University of British Columbia
Paul Houston
Paul Houston University of Nottingham
Annalisa Buffa
Annalisa Buffa École Polytechnique Fédérale de Lausanne
Fabio Nobile
Fabio Nobile École Polytechnique Fédérale de Lausanne
Carlo Lovadina
Carlo Lovadina University of Milan

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Studying Mathematics in the USA opens doors to diverse online degree options that complement quantitative skills. For those interested in data-driven roles, pursuing one of the analytics masters programs can provide practical expertise in interpreting complex datasets and applying statistical methods to business challenges.

If you're considering leadership or entrepreneurial roles after your math degree, exploring MBA options is a smart move. Many students seek the easiest mba programs for a more accessible pathway to management knowledge and networking opportunities without overly rigorous admissions barriers.

Additionally, the rise of flexible education options means that earning an easiest online mba program is achievable while balancing work or personal commitments. Online MBA programs focus on convenience without sacrificing essential leadership training.

For professionals aiming at top-tier business expertise, exploring options like the cheapest online dba programs can be a cost-effective way to gain advanced credentials in business administration with a research focus. These pathways enhance career prospects in academia or corporate leadership.

Best Scientists Citing Ilaria Perugia

Trending Scientists

Recently Published Articles