World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
35
Citations
6521
World Ranking
2739
National Ranking
1120

Engineering and Technology

D-Index
35
Citations
6549
World Ranking
8909
National Ranking
2482

Pavel B. Bochev 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 Pavel B. Bochev 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: 183 publications — 55th percentile

55% of scientists in this discipline score the same or lower.

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

Pavel B. Bochev 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 Pavel B. Bochev 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: 35 D-Index — 25th percentile

25% 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

  • 2017 - THE THOMAS J.R. HUGHES MEDAL For fundamental contributions to numerical partial differential equations, especially advances in the development and analysis of new stabilized and compatible finite element methods, and software design for advanced discretizations
  • 2012 - SIAM Fellow For contributions to numerical partial differential equations, especially least-squares finite element methods, stabilized finite element methods, and software.

Overview

Pavel B. Bochev is affiliated with Sandia National Laboratories in the United States. Their research primarily spans the field of Engineering, with a strong focus on Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials, Statistical and Nonlinear Physics, and Numerical Analysis.

The scientist has contributed extensively to various subfields and topics, notably including:

  • Advanced Numerical Methods in Computational Mathematics
  • Model Reduction and Neural Networks
  • Numerical methods in engineering
  • Electromagnetic Simulation and Numerical Methods
  • Numerical methods for differential equations
  • Computational Fluid Dynamics and Aerodynamics
  • Physical Unclonable Functions (PUFs) and Hardware Security

Pavel B. Bochev's recent publications cover a range of topics in computational science and applied mathematics. Selected works include:

  • An energy-based coupling approach to nonlocal interface problems, 2020, Computers & Fluids
  • Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method, 2020, Results in Applied Mathematics
  • A conservative, consistent, and scalable meshfree mimetic method, 2020, Journal of Computational Physics
  • Optimization-based, property-preserving finite element methods for scalar advection equations and their connection to Algebraic Flux Correction, 2020, Computer Methods in Applied Mechanics and Engineering
  • Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases, 2023, Computer Methods in Applied Mechanics and Engineering

Their frequent coauthors include Paul Kuberry, Biliana Paskaleva, Marta D'Elia, Mauro Perego, and Max Gunzburger.

Publications have appeared in venues such as:

  • arXiv (Cornell University)
  • Computer Methods in Applied Mechanics and Engineering
  • Numerical Methods for Partial Differential Equations
  • Results in Applied Mathematics
  • Computers & Mathematics with Applications

Pavel B. Bochev has been recognized with awards including the THOMAS J.R. HUGHES MEDAL in 2017 for contributions to numerical partial differential equations, particularly in developing new stabilized and compatible finite element methods and software design. Additionally, the scientist was named a SIAM Fellow in 2012 for work in least-squares finite element methods, stabilized finite element methods, and software.

Best Publications

  • Least-Squares Finite Element Methods

    Pavel B. Bochev;Max D Gunzburger

  • Stabilization of Low-order Mixed Finite Elements for the Stokes Equations

    Pavel B. Bochev;Clark R. Dohrmann;Max D. Gunzburger

  • A stabilized finite element method for the Stokes problem based on polynomial pressure projections

    Clark R. Dohrmann;Pavel B. Bochev

  • Finite Element Methods of Least-Squares Type

    Pavel B. Bochev;Max D. Gunzburger

  • Principles of Mimetic Discretizations of Differential Operators

    Pavel B. Bochev;James M. Hyman

  • On the Finite Element Solution of the Pure Neumann Problem

    Pavel Bochev;R. B. Lehoucq

  • Analysis of least squares finite element methods for the Stokes equations

    Pavel B. Bochev;Max D. Gunzburger

  • A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method

    Thomas J.R. Hughes;Guglielmo Scovazzi;Pavel B. Bochev;Annalisa Buffa

  • Stability of the SUPG finite element method for transient advection-diffusion problems

    Pavel B. Bochev;Max D. Gunzburger;John N. Shadid

  • Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I

    P. Bochev;Z. Cai;T. A. Manteuffel;S. F. McCormick

  • On Atomistic-to-Continuum Coupling by Blending

    Santiago Badia;Michael L. Parks;Pavel B. Bochev;Max D. Gunzburger

  • A Taxonomy of Consistently Stabilized Finite Element Methods for the Stokes Problem

    Teri Barth;Pavel Bochev;Max Gunzburger;John Shadid

  • Analysis of Least-Squares Finite Element Methods for the Navier--Stokes Equations

    Pavel B. Bochev

  • Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations

    Pavel B. Bochev;Max D. Gunzburger

  • Compatible spatial discretizations

    Douglas N. Arnold;Pavel B. Bochev;Richard B. Lehoucq;Roy A. Nicolaides

  • An Improved Algebraic Multigrid Method for Solving Maxwell's Equations

    Pavel B. Bochev;Christopher J. Garasi;Jonathan J. Hu;Allen C. Robinson

  • Accuracy of least-squares methods for the Navier-Stokes equations

    Pavel B. Bochev;Max D. Gunzburger

  • A Computational Study of Stabilized, Low-order C 0 Finite Element Approximations of Darcy Equations

    Pavel B. Bochev;Clark R. Dohrmann

  • A Force-Based Blending Model forAtomistic-to-Continuum Coupling

    Santiago Badia;Pavel Bochev;Richard Lehoucq;Michael Parks

  • An Absolutely Stable Pressure-Poisson Stabilized Finite Element Method for the Stokes Equations

    Pavel Bochev;Max Gunzburger

Frequent Co-Authors

Max D. Gunzburger
Max D. Gunzburger Florida State University
Richard B. Lehoucq
Richard B. Lehoucq Sandia National Laboratories
Guglielmo Scovazzi
Guglielmo Scovazzi Duke University
Mikhail Shashkov
Mikhail Shashkov Los Alamos National Laboratory
Mitchell Luskin
Mitchell Luskin University of Minnesota
Santiago Badia
Santiago Badia Monash University
Raymond S. Tuminaro
Raymond S. Tuminaro Sandia National Laboratories
John N. Shadid
John N. Shadid Sandia National Laboratories
Thomas J. R. Hughes
Thomas J. R. Hughes The University of Texas at Austin
David R. Brown
David R. Brown University of Bath

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