World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
43
Citations
9112
World Ranking
1680
National Ranking
727

Michael Vogelius 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 Michael Vogelius 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: 100 publications — 11th percentile

11% of scientists in this discipline score the same or lower.

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

Michael Vogelius 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 Michael Vogelius 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: 43 D-Index — 54th percentile

54% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2014 - SIAM Fellow For contributions to the mathematical and numerical analysis of nonlinear problems of PDEs and applications in inverse problems, homogenization, and material science.
  • 2013 - Fellow of the American Mathematical Society
  • 1985 - Fellow of Alfred P. Sloan Foundation

Overview

Michael Vogelius is affiliated with Rutgers, The State University of New Jersey in the United States. The scientist's research spans significant contributions in the areas of Mathematics and Engineering, with a specific focus on subfields such as Mathematical Physics, Computational Theory and Mathematics, Biomedical Engineering, Mechanics of Materials, and Electronic, Optical and Magnetic Materials.

The research primarily addresses topics including Numerical methods in inverse problems, Advanced Mathematical Modeling in Engineering, Microwave Imaging and Scattering Analysis, Advanced Mathematical Physics Problems, Metamaterials and Metasurfaces Applications, Numerical methods in engineering, and Electromagnetic Scattering and Analysis.

Recent papers authored by Michael Vogelius include:

  • Singularities almost always scatter: Regularity results for non-scattering inhomogeneities (2023), Communications on Pure and Applied Mathematics
  • On the Regularity of Non-scattering Anisotropic Inhomogeneities (2023), Archive for Rational Mechanics and Analysis
  • Finiteness Results Concerning Nonscattering Wave Numbers for Incident Plane and Herglotz Waves (2021), SIAM Journal on Mathematical Analysis
  • Small perturbations in the type of boundary conditions for an elliptic operator (2022), Journal de Mathématiques Pures et Appliquées
  • Singularities Almost Always Scatter: Regularity Results for Non-scattering Inhomogeneities (2021), arXiv (Cornell University)

Frequent coauthors in Vogelius's collaborations include Fioralba Cakoni, Jingni Xiao, Narek Hovsepyan, Éric Bonnetier, and Charles Dapogny.

Publications appear mainly in venues such as arXiv (Cornell University), SIAM Journal on Mathematical Analysis, Journal de Mathématiques Pures et Appliquées, Communications on Pure and Applied Mathematics, and Archive for Rational Mechanics and Analysis.

Michael Vogelius has received several fellowships and awards including:

  • SIAM Fellow (2014) for contributions to the mathematical and numerical analysis of nonlinear problems of PDEs and applications in inverse problems, homogenization, and material science
  • Fellow of the American Mathematical Society (2013)
  • Fellow of Alfred P. Sloan Foundation (1985)

Best Publications

  • Determining conductivity by boundary measurements

    Robert Kohn;Michael Vogelius

  • Determining conductivity by boundary measurements II. Interior results

    R. V. Kohn;M. Vogelius

  • Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials

    L. R. Scott;M. Vogelius

  • A new model for thin plates with rapidly varying thickness

    Robert V. Kohn;Michael Vogelius

  • Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients

    Yan Yan Li;Michael Vogelius

  • Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction

    D J Cedio-Fengya;S Moskow;M S Vogelius

  • A backprojection algorithm for electrical impedance imaging

    Fadil Santos;Michael Vogelius

  • Relaxation of a variational method for impedance computed tomography

    Robert V. Kohn;Michael Vogelius

  • Determining Cracks by Boundary Measurements

    Avner Friedman;Michael Vogelius

  • Cloaking via change of variables in electric impedance tomography

    R. V. Kohn;H. Shen;Michael Vogelius;M. I. Weinstein

  • Identification of small inhomogeneities of extreme conductivity by boundary measurements: a theorem on continuous dependence

    Avner Friedman;Michael Vogelius

  • Feedback and adaptive finite element solution of one-dimensional boundary value problems

    I. Bubuška;M. Vogelius

  • Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter II. The full Maxwell equations

    Habib Ammari;Michael S Vogelius;Darko Volkov

  • An analysis of thep-version of the finite element method for nearly incompressible materials

    Michael Vogelius

  • A direct impedance tomography algorithm for locating small inhomogeneities

    Martin Brühl;Martin Hanke;Michael S. Vogelius

  • Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter

    Michael S. Vogelius;Darko Volkov

  • First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof

    Shari Moskow;Michael Vogelius

  • Cloaking via change of variables for the Helmholtz equation

    Robert V. Kohn;Daniel Onofrei;Michael S. Vogelius;Michael I. Weinstein

  • On a dimensional reduction method. I. The optimal selection of basis functions

    M. Vogelius;I. Babuška

  • A new model for thin plates with rapidly varying thickness. II. A convergence proof

    Robert V. Kohn;Michael Vogelius

Frequent Co-Authors

Robert V. Kohn
Robert V. Kohn Courant Institute of Mathematical Sciences
Habib Ammari
Habib Ammari ETH Zurich
Avner Friedman
Avner Friedman The Ohio State University
Ivo Babuška
Ivo Babuška The University of Texas at Austin
Michael I. Weinstein
Michael I. Weinstein Columbia University
Martin Hanke
Martin Hanke Johannes Gutenberg University of Mainz
Hyeonbae Kang
Hyeonbae Kang Inha University
Douglas N. Arnold
Douglas N. Arnold University of Minnesota
George Papanicolaou
George Papanicolaou Stanford University
YanYan Li
YanYan Li Rutgers, The State University of New Jersey

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