World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
4791
World Ranking
2388
National Ranking
1001

Engineering and Technology

D-Index
40
Citations
5424
World Ranking
7430
National Ranking
2028

Research.com Recognitions

  • 2019 - THE THOMAS J.R. HUGHES MEDAL For outstanding and sustained contributions to large-scale parallel multiphysics CFD solution methods, HPC computing algorithms/software and numerical methods for coupled nonlinear PDEs.
  • 2018 - SIAM Fellow For contributions to solution methods for multiphysics systems, scalable parallel numerical algorithms, and numerical methods for strongly coupled nonlinear partial differential equations.

Overview

John N. Shadid is affiliated with Sandia National Laboratories in the United States. Their research output primarily focuses on engineering with a strong emphasis on computational mechanics. Their work spans several subfields, including computational theory and mathematics, numerical analysis, electrical and electronic engineering, and nuclear and high energy physics.

The main topics addressed in their publications cover advanced numerical methods in computational mathematics, computational fluid dynamics and aerodynamics, numerical methods for differential equations, electromagnetic simulation and numerical methods, advanced mathematical modeling in engineering, matrix theory and algorithms, and magnetic confinement fusion research.

Frequent co-authors in their research include Tan Bui-Thanh, Roger P. Pawlowski, Sidafa Conde, Ignacio Tomaš, and Michael Crockatt.

John N. Shadid has published regularly in venues such as:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Computer Methods in Applied Mechanics and Engineering
  • SIAM Journal on Scientific Computing
  • Journal of Computational and Applied Mathematics

Selected recent papers include:

  • A multilevel approach for trace system in HDG discretizations, 2020, Journal of Computational Physics
  • Embedded pairs for optimal explicit strong stability preserving Runge-Kutta methods, 2022, Journal of Computational and Applied Mathematics
  • Matrix-free subcell residual distribution for Bernstein finite elements: Monolithic limiting, 2020, Computers & Fluids
  • A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations, 2020, Journal of Computational Physics
  • An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD, 2022, Journal of Computational Physics

Their research has garnered recognition in the form of distinguished awards, such as the Thomas J.R. Hughes Medal in 2019, awarded for contributions to large-scale parallel multiphysics CFD solution methods, HPC computing algorithms/software, and numerical methods for coupled nonlinear partial differential equations. Additionally, they were named a SIAM Fellow in 2018 for their work on solution methods for multiphysics systems, scalable parallel numerical algorithms, and numerical methods addressing strongly coupled nonlinear partial differential equations.

Best Publications

  • Multiphysics simulations: Challenges and opportunities

    David E Keyes;Lois C Mcinnes;Carol Woodward;William Gropp

  • Block Preconditioners Based on Approximate Commutators

    Howard Elman;Victoria E. Howle;John Shadid;Robert Shuttleworth

  • Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data

    Max D. Gunzburger;Janet S. Peterson;John N. Shadid

  • A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations

    Howard Elman;V.E. Howle;John Shadid;Robert Shuttleworth

  • Three‐dimensional wideband electromagnetic modeling on massively parallel computers

    David L. Alumbaugh;Gregory A. Newman;Lydie Prevost;John N. Shadid

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

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

  • Reaction Diffusion Modeling of Calcium Dynamics with Realistic ER Geometry

    Shawn Means;Alexander J. Smith;Jason Shepherd;John Shadid

  • Interplay of ryanodine receptor distribution and calcium dynamics

    Leighton T. Izu;Shawn A. Means;John N. Shadid;Ye Chen-Izu

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

    Teri Barth;Pavel Bochev;Max Gunzburger;John Shadid

  • Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods

    J. N. Shadid;R. P. Pawlowski;J. W. Banks;L. Chacón

  • Studies on the accuracy of time-integration methods for the radiation-diffusion equations

    David L. Ropp;John N. Shadid;Curtis C. Ober

  • Stabilized shock hydrodynamics: I. A Lagrangian method

    G. Scovazzi;M. A. Christon;Thomas J Hughes;J. N. Shadid

  • An Inexact Newton Method for Fully Coupled Solution of the Navier-Stokes Equations with Heat and Mass Transport

    John N. Shadid;Ray S. Tuminaro;Homer F. Walker

  • Bifurcation and stability analysis of laminar isothermal counterflowing jets

    R. P. Pawlowski;A. G. Salinger;J. N. Shadid;T. J. Mountziaris

  • Globalization Techniques for Newton-Krylov Methods and Applications to the Fully Coupled Solution of the Navier-Stokes Equations

    Roger P. Pawlowski;John N. Shadid;Joseph P. Simonis;Homer F. Walker

  • Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton–Krylov-AMG

    John N. Shadid;John N. Shadid;Roger P. Pawlowski;Eric C Cyr;Raymond S. Tuminaro

  • Fundamental models of the metalorganic vapor-phase epitaxy of gallium nitride and their use in reactor design

    R.P Pawlowski;R.P Pawlowski;C Theodoropoulos;A.G Salinger;T.J Mountziaris

  • A parallel block multi-level preconditioner for the 3D incompressible Navier--Stokes equations

    Howard C. Elman;Victoria E. Howle;John N. Shadid;Ray S. Tuminaro

  • Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations

    Howard Elman;Victoria E. Howle;John Shadid;David Silvester

  • A New Approximate Block Factorization Preconditioner for Two-Dimensional Incompressible (Reduced) Resistive MHD

    Eric C. Cyr;John N Shadid;Raymond S. Tuminaro;Roger P. Pawlowski

Frequent Co-Authors

Raymond S. Tuminaro
Raymond S. Tuminaro Sandia National Laboratories
Andrew G. Salinger
Andrew G. Salinger Sandia National Laboratories
Howard C. Elman
Howard C. Elman University of Maryland, College Park
Max D. Gunzburger
Max D. Gunzburger Florida State University
Richard B. Lehoucq
Richard B. Lehoucq Sandia National Laboratories
Pavel B. Bochev
Pavel B. Bochev Sandia National Laboratories
William D. Henshaw
William D. Henshaw Rensselaer Polytechnic Institute
Lorenz T. Biegler
Lorenz T. Biegler Carnegie Mellon University
Haim Waisman
Haim Waisman Columbia University
Guglielmo Scovazzi
Guglielmo Scovazzi Duke University

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