World's Best Scientists 2026 revealed!
Jens Markus Melenk

Jens Markus Melenk

D-Index & Metrics

Mathematics

D-Index
36
Citations
13360
World Ranking
2571
National Ranking
32

Jens Markus Melenk 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 Jens Markus Melenk 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: 157 publications — 42nd percentile

42% of scientists in this discipline score the same or lower.

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

Jens Markus Melenk 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 Jens Markus Melenk 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: 36 D-Index — 29th percentile

29% of scientists in this discipline score the same or lower.

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

Overview

Jens Markus Melenk is affiliated with TU Wien in Austria and focuses on research primarily in the fields of engineering, mathematics, and computer science. Their work spans several subfields including mechanics of materials, computational theory and mathematics, computational mechanics, atomic and molecular physics, and optics, as well as electrical and electronic engineering.

The core topics addressed in their research encompass advanced mathematical modeling in engineering, numerical methods in engineering, advanced numerical methods in computational mathematics, electromagnetic simulation and numerical methods, electromagnetic scattering and analysis, differential equations and numerical methods, and numerical methods in inverse problems.

Recent publications by Melenk include:

  • hp-FEM for the fractional heat equation, 2020, IMA Journal of Numerical Analysis
  • Local Convergence of the FEM for the Integral Fractional Laplacian, 2022, SIAM Journal on Numerical Analysis
  • Weighted Analytic Regularity for the Integral Fractional Laplacian in Polygons, 2022, SIAM Journal on Mathematical Analysis
  • Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs, 2022, Computers & Mathematics with Applications
  • FEM-BEM mortar coupling for the Helmholtz problem in three dimensions, 2020, BOA (University of Milano-Bicocca)

Melenk frequently publishes in venues such as arXiv (Cornell University), Computers & Mathematics with Applications, SIAM Journal on Numerical Analysis, IMA Journal of Numerical Analysis, and ESAIM. Mathematical Modelling and Numerical Analysis.

Collaborations form a significant part of their research production. Frequent co-authors include:

  • Markus Faustmann
  • Alexander Rieder
  • Christoph Schwab
  • Carlo Marcati
  • Stefan Sauter

Best Publications

  • The partition of unity finite element method: Basic theory and applications

    J. M. Melenk;Ivo M Babuska

  • The Partition of Unity Method

    Ivo M Babuska;J. M. Melenk

  • The partition of unity finite element method

    I. Babuska;J. M. Melenk

  • On residual-based a posteriori error estimation in hp -FEM

    Jens Markus Melenk;Barbara I. Wohlmuth

  • Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation

    J. M. Melenk;S. Sauter

  • Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions

    Jens Markus Melenk;Stefan A. Sauter

  • Optimal a priori estimates for higher order finite elements for elliptic interface problems

    Jingzhi Li;Jens Markus Melenk;Barbara Wohlmuth;Jun Zou

  • hp-Finite Element Methods for Singular Perturbations

    Jens M. Melenk

  • Local high-order regularization and applications to hp-methods

    M. Karkulik;J.M. Melenk

  • Fully discrete hp-finite elements: fast quadrature

    J. M. Melenk;Klaus Gerdes;C. Schwab

  • An adaptive strategy for hp-FEM based on testing for analyticity

    Tino Eibner;Jens Markus Melenk

  • On Stability of Discretizations of the Helmholtz Equation

    S. Esterhazy;J. M. Melenk

  • Runge–Kutta convolution quadrature for operators arising in wave propagation

    Lehel Banjai;Christian Lubich;Jens Markus Melenk

  • General DG-Methods for Highly Indefinite Helmholtz Problems

    J. M. Melenk;A. Parsania;S. Sauter

  • Approximation with harmonic and generalized harmonic polynomials in the partition of unity method

    J. M. Melenk;I. Babuška

  • Tensor FEM for Spectral Fractional Diffusion

    Lehel Banjai;Jens Markus Melenk;Ricardo H. Nochetto;Enrique Otárola

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

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

  • Approximation of Integral Operators by Variable-Order Interpolation

    Steffen Börm;Maike Löhndorf;Jens M. Melenk

  • hp FEM for Reaction-Diffusion Equations I: Robust Exponential Convergence

    J. M. Melenk;C. Schwab

  • On n-widths for elliptic problems

    J.M. Melenk

  • On Stability of Discretizations of the Helmholtz Equation (extended version)

    Sofi Esterhazy;Jens Markus Melenk

  • Institute for Analysis and Scientific Computing

    Anton Arnold;Jens Markus Melenk

Frequent Co-Authors

Stefan A. Sauter
Stefan A. Sauter University of Zurich
Barbara Wohlmuth
Barbara Wohlmuth Technical University of Munich
Ivo Babuška
Ivo Babuška The University of Texas at Austin
Ivan G. Graham
Ivan G. Graham University of Bath
Ricardo H. Nochetto
Ricardo H. Nochetto University of Maryland, College Park
Boris N. Khoromskij
Boris N. Khoromskij Max Planck Institute for Mathematics in the Sciences
Dominik Schötzau
Dominik Schötzau University of British Columbia

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