World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
4825
World Ranking
2387
National Ranking
147

Engineering and Technology

D-Index
39
Citations
4873
World Ranking
7822
National Ranking
266

Arnold Reusken 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 Arnold Reusken 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: 137 publications — 31st percentile

31% of scientists in this discipline score the same or lower.

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

Arnold Reusken 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 Arnold Reusken 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: 38 D-Index — 37th percentile

37% of scientists in this discipline score the same or lower.

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

Overview

Arnold Reusken is affiliated with RWTH Aachen University in Germany and specializes in the field of Engineering. Their research primarily focuses on computational mechanics, mechanics of materials, and computational theory and mathematics, with additional involvement in electrical and electronic engineering and numerical analysis.

The main topics of Arnold Reusken's work include:

  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Advanced Mathematical Modeling in Engineering
  • Lattice Boltzmann Simulation Studies
  • Electromagnetic Simulation and Numerical Methods
  • Computational Fluid Dynamics and Aerodynamics
  • Fluid Dynamics and Turbulent Flows

Reusken has several recent publications, reflecting ongoing activity across computational and applied mathematics. Notable papers include:

  • "Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations," 2022, published in SIAM Journal on Scientific Computing
  • "Inf-sup stability of the trace ₂-₁ Taylor-Hood elements for surface PDEs," 2020, published in Mathematics of Computation
  • "Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation," 2020, published in Journal of Numerical Mathematics
  • "Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations," 2022, published in Mathematical Models and Methods in Applied Sciences
  • "On derivations of evolving surface Navier-Stokes equations," 2022, published in Interfaces and Free Boundaries Mathematical Analysis Computation and Applications

Frequent publication venues where Reusken's work appears include:

  • arXiv (Cornell University)
  • Mathematics of Computation
  • SIAM Journal on Scientific Computing
  • Journal of Numerical Mathematics
  • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications

Reusken collaborates regularly with a set of co-authors, among whom the most frequent are:

  • Maxim A. Olshanskii
  • Thomas Jankuhn
  • Paul Schwering
  • Alexander Zhiliakov
  • Sven Groß

This profile highlights a focus on numerical and computational methods applied to fluid dynamics and related engineering disciplines. The publications indicate contributions to both theoretical aspects, such as finite element discretization and stability analyses, and applied modeling and simulation on evolving surfaces.

Best Publications

  • Numerical Methods for Two-phase Incompressible Flows

    Sven Gross;Arnold Reusken

  • An extended pressure finite element space for two-phase incompressible flows with surface tension

    Sven Groí;Arnold Reusken

  • Grad-div stablilization for Stokes equations

    Maxim A. Olshanskii;Arnold Reusken

  • A Finite Element Method for Elliptic Equations on Surfaces

    Maxim A. Olshanskii;Arnold Reusken;Jörg Grande

  • A finite element based level set method for two-phase incompressible flows

    Sven Groß;Volker Reichelt;Arnold Reusken

  • Analysis of an extended pressure finite element space for two-phase incompressible flows

    Arnold Reusken

  • Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows

    Sven Gross;Arnold Reusken

  • Incompressible fluid problems on embedded surfaces: Modeling and variational formulations

    Thomas Jankuhn;Maxim A. Olshanskii;Arnold Reusken

  • Analysis of a damped nonlinear multilevel method

    W. Hackbusch;A. Reusken

  • Analysis of a Stokes interface problem

    Maxim A. Olshanskii;Arnold Reusken

  • Analysis of trace finite element methods for surface partial differential equations

    Arnold Reusken

  • A stabilized finite element method for advection-diffusion equations on surfaces

    Maxim A. Olshanskii;Arnold Reusken;Xianmin Xu

  • Trace Finite Element Methods for PDEs on Surfaces

    Maxim A. Olshanskii;Arnold Reusken

  • AN EULERIAN SPACE-TIME FINITE ELEMENT METHOD FOR DIFFUSION PROBLEMS ON EVOLVING SURFACES ∗

    Maxim A. Olshanskii;Arnold Reusken;Xianmin Xu

  • A finite element method for surface PDEs: matrix properties

    Maxim A. Olshanskii;Arnold Reusken

  • Validated simulation of droplet sedimentation with finite-element and level-set methods.

    Evangelos Bertakis;Sven Groß;Jörg Grande;Oliver Fortmeier

  • ERROR ANALYSIS OF A SPACE-TIME FINITE ELEMENT METHOD FOR SOLVING PDES ON EVOLVING SURFACES ∗

    Maxim A. Olshanskii;Arnold Reusken

  • Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces

    Jörg Grande;Christoph Lehrenfeld;Arnold Reusken

  • Robust Parallel Smoothing for Multigrid Via Sparse Approximate Inverses

    Oliver Bröker;Marcus J. Grote;Carsten Mayer;Arnold Reusken

  • Fourier analysis of a robust multigrid method for convection-diffusion equations

    Arnold Reusken

  • Fast Iterative Solvers for Discrete Stokes Equations

    Jörg Peters;Volker Reichelt;Arnold Reusken

Frequent Co-Authors

Maxim A. Olshanskii
Maxim A. Olshanskii University of Houston
Wolfgang Marquardt
Wolfgang Marquardt RWTH Aachen University
Uwe Hampel
Uwe Hampel Helmholtz-Zentrum Dresden-Rossendorf
Wolfgang Hackbusch
Wolfgang Hackbusch Max Planck Institute for Mathematics in the Sciences
Jörg Peters
Jörg Peters University of Florida
Bernhard Blümich
Bernhard Blümich RWTH Aachen University

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