World's Best Scientists 2026 revealed!
Ralf Hiptmair

Ralf Hiptmair

D-Index & Metrics

Mathematics

D-Index
44
Citations
8413
World Ranking
1580
National Ranking
30

Engineering and Technology

D-Index
44
Citations
8401
World Ranking
5758
National Ranking
89

Ralf Hiptmair 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 Ralf Hiptmair 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: 82 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: 199 publications — 62nd percentile

62% of scientists in this discipline score the same or lower.

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

Ralf Hiptmair 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 Ralf Hiptmair 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: 137 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: 44 D-Index — 58th percentile

58% of scientists in this discipline score the same or lower.

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

Overview

Ralf Hiptmair is affiliated with ETH Zurich in Switzerland and has a prominent research profile in engineering, with a focus on numerical methods and computational mechanics. Their work spans multiple subfields including mechanics of materials, computational mechanics, mathematical physics, electrical and electronic engineering, as well as atomic and molecular physics and optics.

The scientist's research covers a broad range of topics, with notable emphasis on:

  • Numerical methods in engineering
  • Electromagnetic simulation and numerical methods
  • Advanced numerical methods in computational mathematics
  • Numerical methods in inverse problems
  • Electromagnetic scattering and analysis
  • Advanced mathematical modeling in engineering
  • Microwave imaging and scattering analysis

Ralf Hiptmair has contributed to several recent publications, such as:

  • "Enhancing the Quantum Linear Systems Algorithm Using Richardson Extrapolation," 2022, published in ACM Transactions on Quantum Computing
  • "Electromagnetic port boundary conditions: Topological and variational perspective," 2020, published in International Journal of Numerical Modelling Electronic Networks Devices and Fields
  • "Optimal Operator Preconditioning for Galerkin Boundary Element Methods on 3-Dimensional Screens," 2020, published in SIAM Journal on Numerical Analysis
  • "Quotient-space boundary element methods for scattering at complex screens," 2021, published in BIT Numerical Mathematics
  • "Traces for Hilbert complexes," 2023, published in Journal of Functional Analysis

Frequent coauthors collaborating with Ralf Hiptmair include:

  • Erick Schulz
  • Piyush Panchal
  • Xavier Claeys
  • Stefan Sauter
  • Euan A. Spence

Their research outputs have been published repeatedly in venues such as:

  • arXiv (Cornell University)
  • Computational Methods in Applied Mathematics
  • SIAM Journal on Mathematical Analysis
  • Journal of Scientific Computing
  • International Journal of Numerical Modelling Electronic Networks Devices and Fields

Best Publications

  • Finite elements in computational electromagnetism

    R. Hiptmair

  • Multigrid Method for Maxwell's Equations

    R. Hiptmair

  • Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces

    Ralf Hiptmair;Jinchao Xu

  • Boundary Element Methods

    Stéphanie Chaillat-Loseille;Ralf Hiptmair;Olaf Steinbach

  • Residual based a posteriori error estimators for eddy current computation

    Rudi Beck;Ralf Hiptmair;Ronald H.W. Hoppe;Barbara Wohlmuth

  • Canonical construction of finite elements

    R. Hiptmair

  • Galerkin Boundary Element Methods for Electromagnetic Scattering

    Annalisa Buffa;Ralf Hiptmair

  • 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

  • Boundary Element Methods for Maxwell Transmission Problems in Lipschitz Domains

    A. Buffa;R. Hiptmair;T. Von Petersdorff;C. Schwab

  • Discrete Hodge operators

    Ralf Hiptmair

  • Symmetric Coupling for Eddy Current Problems

    R. Hiptmair

  • Operator Preconditioning

    R. Hiptmair

  • Plane wave approximation of homogeneous Helmholtz solutions

    Andrea Moiola;R. Hiptmair;I. Perugia

  • Adaptive Multilevel Methods for Edge Element Discretizations of Maxwell's Equations

    Rudolf Beck;Peter Deuflhard;Ralf Hiptmair;Ronald H. W. Hoppe

  • A FULLY DIVERGENCE-FREE FINITE ELEMENT METHOD FOR MAGNETOHYDRODYNAMIC EQUATIONS

    Ralf Hiptmair;Lingxiao Li;Shipeng Mao;Weiying Zheng

  • Comparison of approximate shape gradients

    R. Hiptmair;A. Paganini;S. Sargheini

  • Multigrid method for H (div) in three dimensions

    Ralf Hiptmair

  • Domain Decomposition Preconditioning for Surface Integral Equations in Solving Challenging Electromagnetic Scattering Problems

    Zhen Peng;Ralf Hiptmair;Yang Shao;Brian MacKie-Mason

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

    Ralf Hiptmair;Andrea Moiola;Andrea Moiola;Ilaria Perugia

  • Numerical Methods for Partial Differential Equations

    R. Hiptmair;L. Scarabosio;C. Urzua Torres

Frequent Co-Authors

Ilaria Perugia
Ilaria Perugia University of Vienna
Annalisa Buffa
Annalisa Buffa École Polytechnique Fédérale de Lausanne
Barbara Wohlmuth
Barbara Wohlmuth Technical University of Munich
Jinchao Xu
Jinchao Xu Pennsylvania State University
Daniele Boffi
Daniele Boffi King Abdullah University of Science and Technology
Monique Dauge
Monique Dauge University of Rennes
Leszek Demkowicz
Leszek Demkowicz The University of Texas at Austin
Martin Costabel
Martin Costabel University of Rennes
Patrick Joly
Patrick Joly École Nationale Supérieure de Techniques Avancées

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