World's Best Scientists 2026 revealed!
Helmut Harbrecht

Helmut Harbrecht

D-Index & Metrics

Mathematics

D-Index
32
Citations
3681
World Ranking
3234
National Ranking
55

Helmut Harbrecht 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 Helmut Harbrecht 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: 187 publications — 57th percentile

57% of scientists in this discipline score the same or lower.

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

Helmut Harbrecht 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 Helmut Harbrecht 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

Helmut Harbrecht is affiliated with the University of Basel in Switzerland and focuses primarily on research within the field of Engineering, with particular emphasis on Computational Mechanics. Their work spans several subfields including Mechanics of Materials, Computational Theory and Mathematics, Atomic and Molecular Physics and Optics, and Mathematical Physics.

The scientist's research covers a range of topics related to numerical and computational methods, including:

  • Numerical methods in engineering
  • Electromagnetic Scattering and Analysis
  • Advanced Numerical Analysis Techniques
  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in inverse problems
  • Probabilistic and Robust Engineering Design
  • Advanced Mathematical Modeling in Engineering

Harbrecht has contributed to multiple publications in various scientific venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • SIAM Journal on Control and Optimization
  • SIAM/ASA Journal on Uncertainty Quantification
  • Numerische Mathematik

Recent papers authored or co-authored by Harbrecht illustrate a focus on computational physics and numerical methods. Some of these works are:

  • "A fast direct solver for nonlocal operators in wavelet coordinates", 2020, Journal of Computational Physics
  • "Samplets: Construction and scattered data compression", 2022, Journal of Computational Physics
  • "The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs", 2024, Mathematical Models and Methods in Applied Sciences

Additional notable publications from allied collaborators include related computational techniques and algorithms in applied mathematics and engineering.

Harbrecht collaborates frequently with other researchers, including:

  • Michael Multerer
  • Jürgen Dölz
  • Marc Schmidlin
  • Christoph Schwab
  • Marc Dambrine

Best Publications

  • On the low-rank approximation by the pivoted Cholesky decomposition

    Helmut Harbrecht;Michael Peters;Reinhold Schneider

  • Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates

    Wolfgang Dahmen;Helmut Harbrecht;Reinhold Schneider

  • Sparse second moment analysis for elliptic problems in stochastic domains

    Helmut Harbrecht;Reinhold Schneider;Christoph Schwab

  • Boosting Quantum Machine Learning Models with a Multilevel Combination Technique: Pople Diagrams Revisited

    Peter Zaspel;Bing Huang;Helmut Harbrecht;O. Anatole von Lilienfeld

  • An optimal adaptive wavelet method without coarsening of the iterands

    Tsogtgerel Gantumur;Helmut Harbrecht;Rob P. Stevenson

  • Wavelet Galerkin Schemes for Boundary Integral Equations---Implementation and Quadrature

    Helmut Harbrecht;Reinhold Schneider

  • Compression Techniques for Boundary Integral Equations - Optimal Complexity Estimates

    Wolfgang Dahmen;Helmut Harbrecht;Reinhold Schneider

  • On Convergence in Elliptic Shape Optimization

    Karsten Eppler;Helmut Harbrecht;Reinhold Schneider

  • Analysis of the domain mapping method for elliptic diffusion problems on random domains

    H. Harbrecht;M. Peters;M. Siebenmorgen

  • A regularized Newton method in electrical impedance tomography using shape Hessian information

    Karsten Eppler;Helmut Harbrecht

  • Biorthogonal wavelet bases for the boundary element method

    Helmut Harbrecht;Reinhold Schneider

  • Efficient approximation of random fields for numerical applications

    Helmut Harbrecht;Michael Peters;Markus Siebenmorgen

  • Multilevel frames for sparse tensor product spaces

    Helmut Harbrecht;Reinhold Schneider;Christoph Schwab

  • Fast Methods for Three-dimensional Inverse Obstacle Scattering Problems

    H. Harbrecht;T. Hohage

  • BPX-preconditioning for isogeometric analysis

    Annalisa Buffa;Helmut Harbrecht;Angela Kunoth;Giancarlo Sangalli

  • Trends in PDE Constrained Optimization

    Günter Leugering;Peter Benner;Sebastian Engell;Andreas Griewank

  • A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems

    Jürgen Dölz;Helmut Harbrecht;Stefan Kurz;Sebastian Schöps

  • Adaptive methods for boundary integral equations: Complexity and convergence estimates

    Wolfgang Dahmen;Helmut Harbrecht;Reinhold Schneider

  • On the Numerical Solution of a Shape Optimization Problem for the Heat Equation

    Helmut Harbrecht;Johannes Tausch

  • On the construction of sparse tensor product spaces

    Michael Griebel;Helmut Harbrecht

  • Approximation of bi-variate functions: singular value decomposition versus sparse grids

    Michael Griebel;Helmut Harbrecht

  • Boosting quantum machine learning models with multi-level combination technique: Pople diagrams revisited

    Peter Zaspel;Bing Huang;Helmut Harbrecht;O. Anatole von Lilienfeld

Frequent Co-Authors

Reinhold Schneider
Reinhold Schneider Technical University of Berlin
Michael Griebel
Michael Griebel University of Bonn
Felix Wolf
Felix Wolf Technical University of Darmstadt
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Wolfgang Dahmen
Wolfgang Dahmen University of South Carolina
Sebastian Engell
Sebastian Engell TU Dortmund University
Andreas Griewank
Andreas Griewank Humboldt-Universität zu Berlin
Rolf Rannacher
Rolf Rannacher Heidelberg University
Günter Leugering
Günter Leugering University of Erlangen-Nuremberg

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