World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
10198
World Ranking
1341
National Ranking
98

Engineering and Technology

D-Index
46
Citations
10299
World Ranking
5077
National Ranking
335

Erik Burman 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 Erik Burman 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: 219 publications — 69th percentile

69% of scientists in this discipline score the same or lower.

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

Erik Burman 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 Erik Burman 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: 46 D-Index — 64th percentile

64% of scientists in this discipline score the same or lower.

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

Overview

Erik Burman is affiliated with University College London in the United Kingdom. Their research primarily covers the fields of Engineering and Mathematics, with a significant focus on subfields such as Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials, Numerical Analysis, and Mathematical Physics.

The scientist's work concentrates on several main topics, including Advanced Numerical Methods in Computational Mathematics, Numerical methods in engineering, Advanced Mathematical Modeling in Engineering, Computational Fluid Dynamics and Aerodynamics, Numerical methods in inverse problems, Numerical methods for differential equations, and Electromagnetic Simulation and Numerical Methods.

Frequent co-authors collaborating with Burman include Mats G. Larson, Peter Hansbo, Johnny Guzmán, Lauri Oksanen, and Janosch Preuß.

Several key publication venues regularly feature their work:

  • arXiv (Cornell University)
  • Computer Methods in Applied Mechanics and Engineering
  • Numerische Mathematik
  • SIAM Journal on Numerical Analysis
  • SIAM Journal on Scientific Computing

Recent papers authored by Burman provide insights into the scope of their research:

  • "An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems", 2021, SIAM Journal on Scientific Computing
  • "The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics", 2023, Archives of Computational Methods in Engineering
  • "Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains", 2022, Numerische Mathematik
  • "Convergence Analysis of Hybrid High-Order Methods for the Wave Equation", 2021, Journal of Scientific Computing
  • "CutFEM based on extended finite element spaces", 2022, Numerische Mathematik

The list reflects a focus on numerical methods applied to partial differential equations and computational mechanics. The research includes both theoretical developments and practical computational techniques in engineering and applied mathematics contexts.

Best Publications

  • CutFEM: Discretizing geometry and partial differential equations

    Erik Burman;Susanne Claus;Peter Hansbo;Mats G. Larson

  • Quantitative benchmark computations of two-dimensional bubble dynamics

    S Hysing;S Turek;D Kuzmin;N Parolini

  • Fictitious domain finite element methods using cut elements

    Erik Burman;Peter Hansbo

  • Edge stabilization for Galerkin approximations of convection?diffusion?reaction problems

    Erik Burman;Peter F G Hansbo

  • Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method

    M. Braack;E. Burman

  • Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method

    Erik Burman;Peter F G Hansbo

  • Stabilized finite element methods for the generalized Oseen problem

    M. Braack;E. Burman;V. John;G. Lube

  • A unified stabilized method for Stokes' and Darcy's equations

    Erik Burman;Peter Hansbo

  • Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility

    Erik Burman;Miguel Angel Fernández

  • Continuous interior penalty hp-finite element methods for advection and advection-diffusion equations

    Erik Burman;Alexandre Ern

  • Continuous Interior Penalty Finite Element Method for Oseen's Equations

    Erik Burman;Miguel A. Fernández;Peter Hansbo

  • A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity

    Roland Becker;Erik Burman;Peter F G Hansbo

  • Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem

    Erik Burman;Peter Hansbo

  • A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty

    Erik Burman

  • Edge stabilization for the generalized Stokes problem: A continuous interior penalty method

    Erik Burman;Peter F G Hansbo

  • Stabilized Galerkin approximation of convection-diffusion-reaction equations: Discrete maximum principle and convergence

    Erik Burman;Alexandre Ern

  • Continuous interior penalty finite element method for the time-dependent Navier–Stokes equations: space discretization and convergence

    Erik Burman;Miguel A. Fernández

  • Consistent SUPG-method for transient transport problems: Stability and convergence

    Erik Burman

  • An unfitted Nitsche method for incompressible fluid–structure interaction using overlapping meshes

    Erik Burman;Miguel Angel Fernández

  • Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation

    Erik Burman;Alexandre Ern

Frequent Co-Authors

Peter Hansbo
Peter Hansbo Jönköping University
Alexandre Ern
Alexandre Ern École des Ponts ParisTech
Mats G. Larson
Mats G. Larson Umeå University
Johnny Guzmán
Johnny Guzmán Brown University
Jacques Rappaz
Jacques Rappaz École Polytechnique Fédérale de Lausanne
Alfio Quarteroni
Alfio Quarteroni Polytechnic University of Milan
Ilia Rodushkin
Ilia Rodushkin Luleå University of Technology
Stefan Turek
Stefan Turek TU Dortmund University
Lutz Tobiska
Lutz Tobiska Otto-von-Guericke University Magdeburg
Rolf Stenberg
Rolf Stenberg Aalto University

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