World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
35
Citations
6521
World Ranking
2738
National Ranking
1119

Engineering and Technology

D-Index
35
Citations
6549
World Ranking
8907
National Ranking
2481

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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