World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
7027
World Ranking
1602
National Ranking
95

Mechanical and Aerospace Engineering

D-Index
46
Citations
7422
World Ranking
1460
National Ranking
45

Overview

Volker John is affiliated with Freie Universität Berlin in Germany and has a significant body of work in the fields of Engineering and Mathematics. Their research primarily focuses on computational methods in mechanics and mathematics, particularly in numerical analysis and computational mechanics.

The scientist has contributed to various topics including:

  • Advanced Numerical Methods in Computational Mathematics
  • Computational Fluid Dynamics and Aerodynamics
  • Numerical methods for differential equations
  • Model Reduction and Neural Networks
  • Advanced Mathematical Modeling in Engineering
  • Differential Equations and Numerical Methods
  • Fluid Dynamics and Turbulent Flows

Frequent publication venues for their work include:

  • arXiv (Cornell University)
  • Applied Mathematics Letters
  • Computer Methods in Applied Mechanics and Engineering
  • Journal of Computational and Applied Mathematics
  • SIAM Journal on Numerical Analysis

Volker John has often collaborated with other researchers. Frequent coauthors are:

  • Petr Knobloch (26 collaborations)
  • Gabriel R. Barrenechea (17 collaborations)
  • Julia Novo (11 collaborations)
  • Bosco García-Archilla (9 collaborations)
  • Ulrich Wilbrandt (6 collaborations)

The scientist has authored papers such as:

  • "Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations," 2024, SIAM Review
  • "On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows," 2021, Computer Methods in Applied Mechanics and Engineering
  • "On the feasibility of using open source solvers for the simulation of a turbulent air flow in a dairy barn," 2020, Computers and Electronics in Agriculture
  • "Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations," 2022, Computers & Mathematics with Applications
  • "Impact of turbulence modeling on the simulation of blood flow in aortic coarctation," 2023, International Journal for Numerical Methods in Biomedical Engineering

In addition to articles, Volker John has contributed to the academic book literature with a publication titled Monotone Discretizations for Elliptic Second Order Partial Differential Equations, scheduled for 2025 and published by Springer Nature.

Best Publications

  • Finite Element Methods for Incompressible Flow Problems

    Unknown

  • On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows

    Volker John;Alexander Linke;Christian Merdon;Michael Neilan

  • On spurious oscillations at layers diminishing (SOLD) methods for convection–diffusion equations: Part I – A review

    Unknown

  • Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder

    Unknown

  • Stabilized finite element methods for the generalized Oseen problem

    M. Braack;E. Burman;V. John;G. Lube

  • Techniques for the reconstruction of a distribution from a finite number of its moments

    V. John;I. Angelov;A. A. Öncül;D. Thevenin

  • On Finite Element Methods for 3D Time-Dependent Convection-Diffusion-Reaction Equations with Small Diffusion

    Unknown

  • A Finite Element Variational Multiscale Method for the Navier-Stokes Equations

    Unknown

  • MooNMD – a program package based on mapped finite element methods

    Unknown

  • Large Eddy Simulation of Turbulent Incompressible Flows - Analytical and Numerical Results for a Class of LES Models

    Unknown

  • A numerical investigation of velocity-pressure reduced order models for incompressible flows

    Alfonso Caiazzo;Traian Iliescu;Volker John;Swetlana Schyschlowa

  • On spurious oscillations at layers diminishing (SOLD) methods for convection–diffusion equations: Part II – Analysis for P1 and Q1 finite elements

    Unknown

  • A two-level variational multiscale method for convection-dominated convection-diffusion equations

    Volker John;Songul Kaya;William Layton

  • Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier–Stokes equations

    Unknown

  • On the parameter choice in grad-div stabilization for the Stokes equations

    Eleanor W. Jenkins;Volker John;Alexander Linke;Leo G. Rebholz

  • Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations

    Volker John;Julia Novo

  • Adaptive time step control for the incompressible Navier-Stokes equations

    Volker John;Joachim Rang

  • Higher‐order finite element discretizations in a benchmark problem for incompressible flows

    Unknown

  • An assessment of discretizations for convection-dominated convection–diffusion equations

    Matthias Augustin;Alfonso Caiazzo;André Fiebach;Jürgen Fuhrmann

  • Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems

    V John;Jml Jos Maubach;L Tobiska

  • SUPG reduced order models for convection-dominated convection–diffusion–reaction equations

    Swetlana Giere;Traian Iliescu;Volker John;Volker John;David Wells

  • Analysis of Numerical Errors in Large Eddy Simulation

    V. John;W. J. Layton

  • A Review of Variational Multiscale Methods for the Simulation of Turbulent Incompressible Flows

    Naveed Ahmed;Tomás Chacón Rebollo;Volker John;Samuele Rubino;Samuele Rubino

  • Simulations of Population Balance Systems with One Internal Coordinate using Finite Element Methods

    Volker John;Teodora Mitkova;Michael Roland;Kai Sundmacher;Kai Sundmacher

  • Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?

    Volker John;Volker John;Petr Knobloch;Julia Novo

  • ParMooNA modernized program package based on mapped finite elements

    Ulrich Wilbrandt;Clemens Bartsch;Naveed Ahmed;Najib Alia

  • On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations

    Volker John;Julia Novo

  • A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems

    V. John;G. Matthies;F. Schieweck;L. Tobiska

  • Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements

    Javier de Frutos;Bosco García-Archilla;Volker John;Volker John;Julia Novo

  • SUPG reduced order models for convection-dominated convection-diffusion-reaction equations

    Traian Iliescu;Volker John;Swetlana Schyschlowa;David Wells

Frequent Co-Authors

Kai Sundmacher
Kai Sundmacher Max Planck Institute for Dynamics of Complex Technical Systems
Lutz Tobiska
Lutz Tobiska Otto-von-Guericke University Magdeburg
William Layton
William Layton University of Pittsburgh
Dominique Thévenin
Dominique Thévenin Otto-von-Guericke University Magdeburg
Traian Iliescu
Traian Iliescu Virginia Tech
Wolfgang Hackbusch
Wolfgang Hackbusch Max Planck Institute for Mathematics in the Sciences

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