Volker John

Orcid: 0000-0002-2711-4409

According to our database1, Volker John authored at least 60 papers between 1997 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations.
SIAM Rev., February, 2024

POD-ROM methods: from a finite set of snapshots to continuous-in-time approximations.
CoRR, 2024

Inf-sup stabilized Scott-Vogelius pairs on general shape-regular simplicial grids for Navier-Stokes equations.
Comput. Math. Appl., 2024

Pressure-robust L2(Ω) error analysis for Raviart-Thomas enriched Scott-Vogelius pairs.
Appl. Math. Lett., 2024

2023
Second order error bounds for POD-ROM methods based on first order divided differences.
Appl. Math. Lett., December, 2023

Using Deep Neural Networks for Detecting Spurious Oscillations in Discontinuous Galerkin Solutions of Convection-Dominated Convection-Diffusion Equations.
J. Sci. Comput., November, 2023

A Numerical Assessment of Finite Element Discretizations for Convection-Diffusion-Reaction Equations Satisfying Discrete Maximum Principles.
Comput. Methods Appl. Math., October, 2023

Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations.
SIAM J. Sci. Comput., August, 2023

A posteriori optimization of parameters in stabilized methods for convection-diffusion problems - Part II.
J. Comput. Appl. Math., August, 2023

POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution.
SIAM J. Numer. Anal., June, 2023

Impact of viscosity modeling on the simulation of aortic blood flow.
J. Comput. Appl. Math., June, 2023

POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure.
CoRR, 2023

2022
On algebraically stabilized schemes for convection-diffusion-reaction problems.
Numerische Mathematik, 2022

Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids for Navier-Stokes equations.
CoRR, 2022

Impact of Turbulence Modeling on the Simulation of Blood Flow in Aortic Coarctation.
CoRR, 2022

Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids by Raviart-Thomas enrichment.
CoRR, 2022

Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations.
Comput. Math. Appl., 2022

On a technique for reducing spurious oscillations in DG solutions of convection-diffusion equations.
Appl. Math. Lett., 2022

2021
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations.
Math. Comput., 2021

On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection-diffusion equations.
J. Comput. Appl. Math., 2021

Existence of solutions of a finite element flux-corrected-transport scheme.
Appl. Math. Lett., 2021

2020
On the feasibility of using open source solvers for the simulation of a turbulent air flow in a dairy barn.
Comput. Electron. Agric., 2020

2019
On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem.
Comput. Math. Appl., 2019

A study of solvers for nonlinear AFC discretizations of convection-diffusion equations.
Comput. Math. Appl., 2019

Simulations of an ASA flow crystallizer with a coupled stochastic-deterministic approach.
Comput. Chem. Eng., 2019

2018
Re-visiting the single-phase flow model for liquid steel ladle stirred by gas.
CoRR, 2018

Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?
Comput. Vis. Sci., 2018

Recent Advances in Computing.
Appl. Math. Comput., 2018

A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems.
Appl. Math. Comput., 2018

Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements.
Adv. Comput. Math., 2018

2017
On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows.
SIAM Rev., 2017

ParMooN - A modernized program package based on mapped finite elements.
Comput. Math. Appl., 2017

Towards physically admissible reduced-order solutions for convection-diffusion problems.
Appl. Math. Lett., 2017

Isogeometric analysis for flows around a cylinder.
Appl. Math. Lett., 2017

2016
Analysis of Algebraic Flux Correction Schemes.
SIAM J. Numer. Anal., 2016

Grad-div Stabilization for the Evolutionary Oseen Problem with Inf-sup Stable Finite Elements.
J. Sci. Comput., 2016

Projection methods for incompressible flow problems with WENO finite difference schemes.
J. Comput. Phys., 2016

An Object Oriented Parallel Finite Element Scheme for Computations of PDEs: Design and Implementation.
Proceedings of the 23rd IEEE International Conference on High Performance Computing Workshops, 2016

2015
Analysis of the Pressure Stabilized Petrov-Galerkin Method for the Evolutionary Stokes Equations Avoiding Time Step Restrictions.
SIAM J. Numer. Anal., 2015

A comparative study of a direct discretization and an operator-splitting solver for population balance systems.
Comput. Chem. Eng., 2015

2014
A numerical investigation of velocity-pressure reduced order models for incompressible flows.
J. Comput. Phys., 2014

A study of isogeometric analysis for scalar convection-diffusion equations.
Appl. Math. Lett., 2014

On the parameter choice in grad-div stabilization for the Stokes equations.
Adv. Comput. Math., 2014

2012
On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations.
J. Comput. Phys., 2012

2011
Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations.
SIAM J. Numer. Anal., 2011

2010
A variational multiscale method for turbulent flow simulation with adaptive large scale space.
J. Comput. Phys., 2010

Finite element LES and VMS methods on tetrahedral meshes.
J. Comput. Appl. Math., 2010

2008
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations.
Adv. Comput. Math., 2008

2007
Convergence of Time-Averaged Statistics of Finite Element Approximations of the Navier-Stokes Equations.
SIAM J. Numer. Anal., 2007

An inf-sup Stable and Residual-Free Bubble Element for the Oseen Equations.
SIAM J. Numer. Anal., 2007

On the performance of SOLD methods for convection-diffusion problems with interior layers.
Int. J. Comput. Sci. Math., 2007

2005
A Finite Element Variational Multiscale Method for the Navier-Stokes Equations.
SIAM J. Sci. Comput., 2005

Pressure separation--a technique for improving the velocity error in finite element discretisations of the Navier-Stokes equations.
Appl. Math. Comput., 2005

2004
Large Eddy Simulation of Turbulent Incompressible Flows - Analytical and Numerical Results for a Class of LES Models.
Lecture Notes in Computational Science and Engineering 34, Springer, ISBN: 978-3-642-18682-0, 2004

2002
Analysis of Numerical Errors in Large Eddy Simulation.
SIAM J. Numer. Anal., 2002

Non-Nested Multi-Level Solvers for Finite Element Discretisations of Mixed Problems.
Computing, 2002

2001
Approximating Local Averages of Fluid Velocities: The Stokes Problem.
Computing, 2001

2000
A Coupled Multigrid Method for Nonconforming Finite Element Discretizations of the 2D-Stokes Equation.
Computing, 2000

1999
A Comparison of Three Solvers for the Incompressible Navier-Stokes Equations.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1999

1997
On the Parallel Performance of Coupled Multigrid Methods for the Solution of Incompressible Navier-Stokes Equations.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1997


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