World's Best Scientists 2026 revealed!
Dirk Praetorius

Dirk Praetorius

D-Index & Metrics

Mathematics

D-Index
30
Citations
3283
World Ranking
3552
National Ranking
44

Dirk Praetorius 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 Dirk Praetorius 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: 178 publications — 52nd percentile

52% of scientists in this discipline score the same or lower.

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

Dirk Praetorius 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 Dirk Praetorius 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: 30 D-Index — 5th percentile

5% of scientists in this discipline score the same or lower.

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

Overview

Dirk Praetorius is affiliated with TU Wien in Austria. Their research focuses primarily on the field of engineering, with a strong emphasis on computational mechanics and numerical analysis.

Their work spans multiple subfields of study, including:

  • Computational Mechanics
  • Computational Theory and Mathematics
  • Numerical Analysis
  • Mechanics of Materials
  • Electrical and Electronic Engineering

Praetorius's main research topics cover advanced numerical methods and mathematical modeling in engineering, concentrating on:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Mathematical Modeling in Engineering
  • Numerical Methods for Differential Equations
  • Numerical Methods in Engineering
  • Electromagnetic Simulation and Numerical Methods
  • Magnetic Properties of Thin Films
  • Model Reduction and Neural Networks

Among their recent papers are:

  • "Magnetostatics and micromagnetics with physics informed neural networks," 2022, Journal of Magnetism and Magnetic Materials
  • "Dörfler marking with minimal cardinality is a linear complexity problem," 2020, Mathematics of Computation
  • "Rate optimality of adaptive finite element methods with respect to overall computational costs," 2021, Mathematics of Computation
  • "Mathematical Foundations of Adaptive Isogeometric Analysis," 2022, Archives of Computational Methods in Engineering
  • "Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver," 2021, Numerische Mathematik

Praetorius collaborates frequently with several researchers, including:

  • Michael Innerberger
  • Michele Ruggeri
  • Julian Streitberger
  • Maximilian Brunner
  • Gregor Gantner

Their publications are often found in venues such as:

  • arXiv (Cornell University)
  • Computational Methods in Applied Mathematics
  • Computers & Mathematics with Applications
  • Mathematics of Computation
  • Numerische Mathematik

Best Publications

  • Convergence of adaptive BEM for some mixed boundary value problem

    M. Aurada;S. Ferraz-Leite;P. Goldenits;M. Karkulik

  • Axioms of adaptivity

    C. Carstensen;M. Feischl;M. Page;D. Praetorius

  • Efficient implementation of adaptive P1-FEM in Matlab

    Stefan A. Funken;Dirk Praetorius;Philipp Wissgott

  • On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H 1-Stability of L 2-Projection

    Michael Karkulik;David Pavlicek;Dirk Praetorius

  • Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems

    Michael Feischl;Thomas Führer;Dirk Praetorius

  • Quasi-optimal convergence rate for an adaptive boundary element method

    Michael Feischl;Michael Karkulik;Jens Markus Melenk;Dirk Praetorius

  • Simple a posteriori error estimators for the h -version of the boundary element method

    S. Ferraz-Leite;D. Praetorius

  • Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind

    Carsten Carstensen;Dirk Praetorius

  • On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H1-Stability of L2-Projection

    Michael Karkulik;David Pavlicek;Dirk Praetorius

  • Estimator reduction and convergence of adaptive BEM

    Markus Aurada;Samuel Ferraz-Leite;Dirk Praetorius

  • Residual-based a posteriori error estimate for hypersingular equation on surfaces

    Carsten Carstensen;M. Maischak;D Praetorius;E. P. Stephan

  • Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity

    Markus Aurada;Michael Feischl;Thomas Führer;Michael Karkulik

  • Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods

    Markus Aurada;Michael Feischl;Thomas Führer;Michael Karkulik

  • A three-dimensional spin-diffusion model for micromagnetics.

    Claas Abert;Michele Ruggeri;Florian Bruckner;Christoph Vogler

  • Magnetostatics and micromagnetics with physics informed neural networks.

    Alexander Kovacs;Lukas Exl;Alexander Kornell;Johann Fischbacher

  • Energy norm based a posteriori error estimation for boundary element methods in two dimensions

    C. Erath;S. Ferraz-Leite;S. Funken;D. Praetorius

  • Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems

    Alex Bespalov;Alexander Haberl;Dirk Praetorius

  • Adaptive FEM with optimal convergence rates for a certain class of non-symmetric and possibly non-linear problems

    Michael Feischl;Thomas Führer;Dirk Praetorius

  • An abstract analysis of optimal goal-oriented adaptivity

    Michael Feischl;Dirk Praetorius;Kristoffer George van der Zee

  • Energy norm based error estimators for adaptive BEM for hypersingular integral equations

    Markus Aurada;Michael Feischl;Thomas Führer;Michael Karkulik

  • Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator.

    Claas Abert;Gino Hrkac;Marcus Page;Dirk Praetorius

  • Dörfler marking with minimal cardinality is a linear complexity problem

    Carl-Martin Pfeiler;Dirk Praetorius

  • Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations.

    Michael Feischl;Gregor Gantner;Dirk Praetorius

  • Rate optimal adaptive FEM with inexact solver for nonlinear operators

    Gregor Gantner;Alexander Haberl;Dirk Praetorius;Bernhard Stiftner

  • 3D FEM-BEM-Coupling Method to solve Magnetostatic Maxwell Equations

    Florian Bruckner;Christoph Vogler;Michael Feischl;Dirk Praetorius

  • Convergence of simple adaptive Galerkin schemes based on h − h /2 error estimators

    S. Ferraz-Leite;C. Ortner;D. Praetorius

  • Residual-based a posteriori error estimate for hypersingular equation on surfaces Dedicated to W. L. Wendland on the occasion of his 65th birthday

    Carsten Carstensen;M. Maischak;D. Praetorius;E. P. Stephan

Frequent Co-Authors

Carsten Carstensen
Carsten Carstensen Humboldt-Universität zu Berlin
Ernst P. Stephan
Ernst P. Stephan University of Hannover
Christoph Ortner
Christoph Ortner University of Warwick
Annalisa Buffa
Annalisa Buffa École Polytechnique Fédérale de Lausanne
Martin Vohralík
Martin Vohralík French Institute for Research in Computer Science and Automation - INRIA
Barbara Wohlmuth
Barbara Wohlmuth Technical University of Munich
Stefan Katzenbeisser
Stefan Katzenbeisser University of Passau
Roy W. Chantrell
Roy W. Chantrell University of York

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