World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
6535
World Ranking
1508
National Ranking
88

Engineering and Technology

D-Index
45
Citations
6529
World Ranking
5612
National Ranking
114

Patrick Joly 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 Patrick Joly 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: 221 publications — 69th percentile

69% of scientists in this discipline score the same or lower.

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

Patrick Joly 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 Patrick Joly 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: 45 D-Index — 61st percentile

61% of scientists in this discipline score the same or lower.

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

Overview

Patrick Joly is affiliated with École Nationale Supérieure de Techniques Avancées in France. Their research is primarily situated within the field of Engineering, with a focus on subfields including Mechanical Engineering, Electrical and Electronic Engineering, Computational Mechanics, Mechanics of Materials, and Electronic, Optical and Magnetic Materials.

Their recent publications cover topics related to metallurgical processes, induction heating, battery technologies, and thermal and magnetic properties. Notable recent papers include:

  • Transient mathematical modelling of a gas rotary furnace for melting slag, 2024, Applied Thermal Engineering
  • Numerical simulation of resistance furnaces by using distributed and lumped models, 2024, Advances in Computational Mathematics
  • Kalman filter and classical Preisach hysteresis model applied to the state of charge battery estimation, 2022, Computers & Mathematics with Applications
  • Reduced 2D/1D mathematical models for analyzing inductive effects in submerged arc furnaces, 2021, Applied Mathematical Modelling
  • Effects of Alternating Currents in the Hearth of Submerged Arc Furnaces, 2021, SSRN Electronic Journal

Joly frequently collaborates with a number of coauthors, including Pilar Salgado, Alfredo Bermúdez, J.L. Ferrín, L.J. Pérez-Pérez, and I. Fernández Martínez. These collaborations contribute to a body of work emphasizing metallurgical and thermal applications within advanced engineering contexts.

Publication venues where Joly's work is most frequently featured include Applied Mathematical Modelling, arXiv (Cornell University), Open Research Europe, Computers & Mathematics with Applications, and Applied Thermal Engineering.

The scientist's main topics of work encompass a diverse range of engineering interests, such as:

  • Metallurgical Processes and Thermodynamics
  • Induction Heating and Inverter Technology
  • Welding Techniques and Residual Stresses
  • Magnetic Properties and Applications
  • Advanced Battery Technologies Research
  • Microstructure and Mechanical Properties of Steels
  • Radiative Heat Transfer Studies

Best Publications

  • Stability of perfectly matched layers, group velocities and anisotropic waves

    E. Bécache;S. Fauqueux;P. Joly

  • Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation

    G. Cohen;P. Joly;J. E. Roberts;N. Tordjman

  • Higher order paraxial wave equation approximations in heterogenous media

    A. Bamberger;B. Engquist;L. Halpern;P. Joly

  • An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems

    E. Bécache;P. Joly

  • Domain Decomposition Method for Harmonic Wave Propagation : A General Presentation

    Francis Collino;Souad Ghanemi;Patrick Joly

  • On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations

    Eliane Bécache;Patrick Joly

  • A time domain analysis of PML models in acoustics

    Julien Diaz;Patrick Joly

  • Second-order absorbing boundary conditions for the wave equation: a solution for the corner problem

    Alain Bamberger;P. Joly;Jean E. Roberts

  • Variational Methods for Time-Dependent Wave Propagation Problems

    Patrick Joly

  • Parabolic wave equation approximations in heterogenous media

    A. Bamberger;B. Engquist;L. Halpern;P. Joly

  • GENERALIZED IMPEDANCE BOUNDARY CONDITIONS FOR SCATTERING BY STRONGLY ABSORBING OBSTACLES: THE SCALAR CASE

    Houssem Haddar;Patrick Joly;Hoai Minh Nguyen

  • Construction and Analysis of Fourth-Order Finite Difference Schemes for the Acoustic Wave Equation in Nonhomogeneous Media

    Gary Cohen;Patrick Joly

  • TIME-DOMAIN MODELING AND NUMERICAL SIMULATION OF A KETTLEDRUM

    Leïla Rhaouti;Antoine Chaigne;Patrick Joly

  • A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem

    E. Bécache;P. Joly;C. Tsogka

  • GENERALIZED IMPEDANCE BOUNDARY CONDITIONS FOR SCATTERING PROBLEMS FROM STRONGLY ABSORBING OBSTACLES: THE CASE OF MAXWELL'S EQUATIONS

    Houssem Haddar;Patrick Joly;Hoai-Minh Nguyen

  • A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part I: Construction

    F. Collino;T. Fouquet;P. Joly

  • Time-domain simulation of a guitar: Model and method

    Grégoire Derveaux;Antoine Chaigne;Patrick Joly;Eliane Bécache

  • Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings

    H. Haddar;P. Joly

  • Conservative space-time mesh refinement methods for the FDTD solution of Maxwell's equations

    F. Collino;T. Fouquet;P. Joly

  • Mathematical and Numerical Aspects of Wave Propagation Phenomena

    Gary Cohen;Laurence Halpern

  • Mathematical and Numerical Aspects of Wave Propagation Phenomena.

    Gary Cohen;Laurence Halpern;Patrick Joly

Frequent Co-Authors

Houssem Haddar
Houssem Haddar École Polytechnique
Patrick Ciarlet
Patrick Ciarlet École Nationale Supérieure de Techniques Avancées
Joe Wiart
Joe Wiart Institut Mines-Télécom
Bernardo Cockburn
Bernardo Cockburn University of Minnesota
Isabelle Bloch
Isabelle Bloch Télécom ParisTech
Günter Leugering
Günter Leugering University of Erlangen-Nuremberg
Pekka Neittaanmäki
Pekka Neittaanmäki University of Jyväskylä
Jean Virieux
Jean Virieux Grenoble Alpes University
Andrew Curtis
Andrew Curtis University of Edinburgh
Dimitri Komatitsch
Dimitri Komatitsch Aix-Marseille University

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