World's Best Scientists 2026 revealed!

Johnny Guzmán 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 Johnny Guzmán 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+

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

Johnny Guzmán 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 Johnny Guzmán 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+

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

Overview

Johnny Guzmán is affiliated with Brown University in the United States, focusing on research within the fields of Engineering and Mathematics. Their work primarily spans subfields such as Computational Mechanics, Numerical Analysis, Computational Theory and Mathematics, Mechanics of Materials, and Applied Mathematics.

The main topics covered in Guzmán's research include:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods for differential equations
  • Differential Equations and Numerical Methods
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Numerical Analysis Techniques
  • Numerical methods in engineering

Guzmán has published multiple papers, including recent works such as:

  • "Exact smooth piecewise polynomial sequences on Alfeld splits," 2020, Mathematics of Computation
  • "Exact sequences on Powell-Sabin splits," 2020, CALCOLO
  • "Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits," 2021, Computer Methods in Applied Mechanics and Engineering
  • "Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis," 2022, Numerische Mathematik
  • "Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem," 2021, Numerical Methods for Partial Differential Equations

The frequent publication venues for their work include:

  • arXiv (Cornell University)
  • IMA Journal of Numerical Analysis
  • Mathematics of Computation
  • SIAM Journal on Numerical Analysis
  • Journal of Numerical Mathematics

Among frequent coauthors who collaborate with Guzmán are:

  • Erik Burman
  • Michael Neilan
  • R. Durst
  • Sining Gong
  • Gabriel R. Barrenechea

Their scholarly contributions emphasize numerical and computational methods applied to engineering mathematics and fluid dynamics, with particular attention to stability, error analysis, and approximation on complex mesh splits and fluid-structure interaction problems.

Best Publications

  • A SUPERCONVERGENT LDG-HYBRIDIZABLE GALERKIN METHOD FOR SECOND-ORDER ELLIPTIC PROBLEMS

    Bernardo Cockburn;Bo Dong;Johnny Guzmán

  • A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems

    Bernardo Cockburn;Bo Dong;Johnny Guzmán;Marco Restelli

  • Superconvergent discontinuous Galerkin methods for second-order elliptic problems

    Bernardo Cockburn;Johnny Guzmán;Haiying Wang

  • Conforming and divergence-free Stokes elements on general triangular meshes

    Johnny Guzmán;Michael Neilan

  • A new elasticity element made for enforcing weak stress symmetry

    Bernardo Cockburn;Jayadeep Gopalakrishnan;Johnny Guzmán

  • Conforming and divergence-free Stokes elements in three dimensions

    Johnny Guzmán;Michael Neilan

  • Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes

    Bernardo Cockburn;Bo Dong;Johnny Guzmán

  • A Second Elasticity Element Using the Matrix Bubble

    Jay Gopalakrishnan;Johnny Guzmán

  • An Analysis of the Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems

    Bernardo Cockburn;Johnny Guzmán;See-Chew Soon;Henry K. Stolarski

  • Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity

    J. Gopalakrishnan;J. Guzmán

  • A Hybridizable and Superconvergent Discontinuous Galerkin Method for Biharmonic Problems

    Bernardo Cockburn;Bo Dong;Johnny Guzmán

  • The Scott-Vogelius finite elements revisited

    Johnny Guzman;L. Ridgway Scott

  • Inf-sup stability of geometrically unfitted Stokes finite elements

    Johnny Guzmán;Maxim A. Olshanskii

  • LOCAL ENERGY ESTIMATES FOR THE FINITE ELEMENT METHOD ON SHARPLY VARYING GRIDS

    Alan Demlow;Johnny Guzmán;Alfred H. Schatz

  • Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence--Free Approximations in Arbitrary Dimensions

    Johnny Guzmán;Michael Neilan

  • A Unified Analysis of Several Mixed Methods for Elasticity with Weak Stress Symmetry

    J. Guzmán

  • Hölder estimates for Green’s functions on convex polyhedral domains and their applications to finite element methods

    J. Guzmán;D. Leykekhman;J. Rossmann;A. H. Schatz

  • A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast

    Johnny Guzmán;Manuel A. Sánchez;Marcus Sarkis

  • H(div) conforming and DG methods for incompressible Euler’s equations

    Johnny Guzmán;Chi-Wang Shu;Filánder A. Sequeira

  • Exact smooth piecewise polynomial sequences on Alfeld splits

    Guosheng Fu;Johnny Guzmán;Michael Neilan

Frequent Co-Authors

Erik Burman
Erik Burman University College London
Bernardo Cockburn
Bernardo Cockburn University of Minnesota
Maxim A. Olshanskii
Maxim A. Olshanskii University of Houston
Douglas N. Arnold
Douglas N. Arnold University of Minnesota
A. H. Schatz
A. H. Schatz Cornell University
Mark Ainsworth
Mark Ainsworth Brown University
Richard S. Falk
Richard S. Falk Rutgers, The State University of New Jersey
Chi-Wang Shu
Chi-Wang Shu Brown University
Santiago Badia
Santiago Badia Monash University
Béatrice Rivière
Béatrice Rivière Rice University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring related online degrees can open diverse career opportunities. Many opt for business-oriented programs, such as the easiest MBA specialization, which blends quantitative skills with management expertise. This path is ideal for those interested in leadership roles within finance, technology, or analytics sectors.

Additionally, the rise of online education platforms has made it possible to enroll in easy online MBA programs, offering flexible and accessible learning schedules. These programs are designed to accommodate working professionals and can significantly enhance one’s strategic and analytical thinking skills.

For those targeting higher business leadership, DBA online programs provide an advanced pathway to deepen expertise in business administration, useful for academic, consulting, or executive roles. These doctoral programs emphasize research and applied leadership, directly complementing a mathematical background.

Moreover, the integration of Mathematics with finance is increasingly popular, with affordable options available like the best online masters in finance. This degree equips students to excel in areas such as risk management, investment analysis, and financial modeling by leveraging strong mathematical foundations.

Best Scientists Citing Johnny Guzmán

Trending Scientists

Recently Published Articles