World's Best Scientists 2026 revealed!
Ilaria Perugia

Ilaria Perugia

D-Index & Metrics

Mathematics

D-Index
32
Citations
5133
World Ranking
3160
National Ranking
40

Ilaria Perugia publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Ilaria Perugia sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 133 publications — 28th percentile

28% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Ilaria Perugia D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Ilaria Perugia sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 32 D-Index — 14th percentile

14% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

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