World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
59
Citations
11416
World Ranking
602
National Ranking
28

Engineering and Technology

D-Index
59
Citations
11388
World Ranking
2376
National Ranking
71

Carsten Carstensen 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 Carsten Carstensen 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: 366 publications — 92nd percentile

92% of scientists in this discipline score the same or lower.

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

Carsten Carstensen 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 Carsten Carstensen 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: 59 D-Index — 84th percentile

84% of scientists in this discipline score the same or lower.

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

Overview

Carsten Carstensen is affiliated with Humboldt-Universität zu Berlin in Germany. Their research primarily spans the fields of Engineering and Computer Science, with a focused expertise in Computational Mechanics and Computational Theory and Mathematics.

Their work extensively addresses topics such as Advanced Numerical Methods in Computational Mathematics, Advanced Mathematical Modeling in Engineering, and Numerical Methods in Engineering. Additional key areas include Computational Fluid Dynamics and Aerodynamics, Numerical Methods for Differential Equations, Electromagnetic Simulation and Numerical Methods, and Differential Equations and Numerical Methods.

Carstensen has published prolifically, frequently collaborating with other researchers. Regular co-authors include Neela Nataraj, Benedikt Gräßle, Amiya K. Pani, Ngoc-Tien Tran, and Sophie Puttkammer.

Their recent papers reflect ongoing contributions to numerical analysis and finite element methods. Selected recent publications include:

  • Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian (2023, SIAM Journal on Numerical Analysis)
  • Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method (2021, Numerische Mathematik)
  • Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates (2021, SIAM Journal on Numerical Analysis)
  • Lowest-order equivalent nonstandard finite element methods for biharmonic plates (2021, ESAIM. Mathematical Modelling and Numerical Analysis)
  • Critical functions and inf-sup stability of Crouzeix-Raviart elements (2022, Computers & Mathematics with Applications)

The venues where Carstensen commonly publishes include arXiv (Cornell University), Numerische Mathematik, SIAM Journal on Numerical Analysis, Mathematics of Computation, and Computer Methods in Applied Mechanics and Engineering.

Best Publications

  • Non-convex potentials and microstructures in finite-strain plasticity

    Carsten Carstensen;Klaus Hackl;Alexander Mielke

  • Remarks around 50 lines of Matlab: short finite element implementation

    Jochen Alberty;Carsten Carstensen;Stefan A. Funken

  • A posteriori error estimate for the mixed finite element method

    Carsten Carstensen

  • Axioms of adaptivity

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

  • Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods

    Carsten Carstensen;Rüdiger Verfürth

  • Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids part I: Low order conforming, nonconforming, and mixed FEM

    Carsten Carstensen;Sören Bartels

  • QUASI-INTERPOLATION AND A POSTERIORI ERROR ANALYSIS IN FINITE ELEMENT METHODS

    Carsten Carstensen

  • Breaking spaces and forms for the DPG method and applications including Maxwell equations

    C. Carstensen;L. Demkowicz;J. Gopalakrishnan

  • Matlab implementation of the finite element method in elasticity

    J. Alberty;C. Carstensen;S. A. Funken;R. Klose

  • Three Matlab Implementations of the Lowest-order Raviart-Thomas Mfem with a Posteriori Error Control

    C. Bahriawati;C. Carstensen

  • Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM

    Sören Bartels;Carsten Carstensen

  • A posteriori error estimates for mixed FEM in elasticity

    Carsten Carstensen;Georg Dolzmann

  • Constants in Clément-interpolation error and residual based a posteriori estimates in finite element methods

    C. Carstensen;S. A. Funken

  • An a posteriori error estimate for a first-kind integral equation

    Carsten Carstensen

  • Fully Reliable Localized Error Control in the FEM

    Carsten Carstensen;Stefan A. Funken

  • A unifying theory of a posteriori error control for nonconforming finite element methods

    C. Carstensen;Jun Hu

  • Convergence analysis of an adaptive nonconforming finite element method

    Carsten Carstensen;Ronald H. W. Hoppe

  • Error reduction and convergence for an adaptive mixed finite element method

    Carsten Carstensen;Ronald H.W. Hoppe

  • Numerical solution of the scalar double-well problem allowing microstructure

    Carsten Carstensen;Peter Plecháč

  • Effective relaxation for microstructure simulations: algorithms and applications

    S. Bartels;C. Carstensen;K. Hackl;U. Hoppe

  • A posteriori error estimates for boundary element methods

    Carsten Carstensen;Ernst P. Stephan

Frequent Co-Authors

Ernst P. Stephan
Ernst P. Stephan University of Hannover
Peter Wriggers
Peter Wriggers University of Hannover
John M. Ball
John M. Ball University of Oxford
Erwin Stein
Erwin Stein University of Hannover
Susanne C. Brenner
Susanne C. Brenner Louisiana State University
Miodrag S. Petković
Miodrag S. Petković University of Nis
Dietrich Braess
Dietrich Braess Ruhr University Bochum
Berend Denkena
Berend Denkena University of Hannover
Leszek Demkowicz
Leszek Demkowicz The University of Texas at Austin

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