On the Parallel Performance of Coupled Multigrid Methods for the Solution of Incompressible Navier-Stokes Equations. - Volker John (LSSC, 1997)

A Comparison of Three Solvers for the Incompressible Navier-Stokes Equations. - Volker John; Gunar Matthies; Teodora Mitkova; Lutz Tobiska; Panayot S. Vassilevski (LSSC, 1999)

A Coupled Multigrid Method for Nonconforming Finite Element Discretizations of the 2D-Stokes Equation. - Volker John; Lutz Tobiska (Computing, 2000)

Approximating Local Averages of Fluid Velocities: The Stokes Problem. - Volker John; William J. Layton (Computing, 2001)

Non-Nested Multi-Level Solvers for Finite Element Discretisations of Mixed Problems. - Volker John; Petr Knobloch; Gunar Matthies; Lutz Tobiska (Computing, 2002)

Analysis of Numerical Errors in Large Eddy Simulation. - Volker John; William J. Layton (SIAM J. Numer. Anal., 2002)

Large Eddy Simulation of Turbulent Incompressible Flows - Analytical and Numerical Results for a Class of LES Models. - Volker John (Springer, 2004)

Pressure separation–a technique for improving the velocity error in finite element discretisations of the Navier-Stokes equations. - Sashikumaar Ganesan; Volker John (Appl. Math. Comput., 2005)

A Finite Element Variational Multiscale Method for the Navier-Stokes Equations. - Volker John; Songul Kaya (SIAM J. Sci. Comput., 2005)

On the performance of SOLD methods for convection-diffusion problems with interior layers. - Volker John; Petr Knobloch (Int. J. Comput. Sci. Math., 2007)

An inf-sup Stable and Residual-Free Bubble Element for the Oseen Equations. - Leopoldo P. Franca; Volker John; Gunar Matthies; Lutz Tobiska (SIAM J. Numer. Anal., 2007)

Convergence of Time-Averaged Statistics of Finite Element Approximations of the Navier-Stokes Equations. - Volker John; William J. Layton; Carolina C. Manica (SIAM J. Numer. Anal., 2007)

Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. - Volker John; Songul Kaya (Adv. Comput. Math., 2008)

Finite element LES and VMS methods on tetrahedral meshes. - Volker John; Adela Kindl; Carina Suciu (J. Comput. Appl. Math., 2010)

A variational multiscale method for turbulent flow simulation with adaptive large scale space. - Volker John; Adela Kindl (J. Comput. Phys., 2010)

Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations. - Volker John; Julia Novo (SIAM J. Numer. Anal., 2011)

On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. - Volker John; Julia Novo (J. Comput. Phys., 2012)

On the parameter choice in grad-div stabilization for the Stokes equations. - Eleanor W. Jenkins; Volker John; Alexander Linke; Leo G. Rebholz (Adv. Comput. Math., 2014)

A study of isogeometric analysis for scalar convection-diffusion equations. - Volker John; Liesel Schumacher (Appl. Math. Lett., 2014)

A numerical investigation of velocity-pressure reduced order models for incompressible flows. - Alfonso Caiazzo; Traian Iliescu; Volker John; Swetlana Schyschlowa (J. Comput. Phys., 2014)

A comparative study of a direct discretization and an operator-splitting solver for population balance systems. - Felix Anker; Sashikumaar Ganesan; Volker John; Ellen Schmeyer (Comput. Chem. Eng., 2015)

Analysis of the Pressure Stabilized Petrov-Galerkin Method for the Evolutionary Stokes Equations Avoiding Time Step Restrictions. - Volker John; Julia Novo (SIAM J. Numer. Anal., 2015)

An Object Oriented Parallel Finite Element Scheme for Computations of PDEs: Design and Implementation. - Sashikumaar Ganesan; Volker John; Gunar Matthies; Raviteja Meesala; Shamim Abdus; Ulrich Wilbrandt (HiPC Workshops, 2016)

Projection methods for incompressible flow problems with WENO finite difference schemes. - Javier de Frutos; Volker John; Julia Novo (J. Comput. Phys., 2016)

Grad-div Stabilization for the Evolutionary Oseen Problem with Inf-sup Stable Finite Elements. - Javier de Frutos; Bosco García-Archilla; Volker John; Julia Novo (J. Sci. Comput., 2016)

Analysis of Algebraic Flux Correction Schemes. - Gabriel R. Barrenechea; Volker John; Petr Knobloch (SIAM J. Numer. Anal., 2016)

Isogeometric analysis for flows around a cylinder. - Jannis Bulling; Volker John; Petr Knobloch (Appl. Math. Lett., 2017)

Towards physically admissible reduced-order solutions for convection-diffusion problems. - Swetlana Giere; Volker John (Appl. Math. Lett., 2017)

ParMooN - A modernized program package based on mapped finite elements. - Ulrich Wilbrandt; Clemens Bartsch; Naveed Ahmed 004; Najib Alia; Felix Anker; Laura Blank; Alfonso Caiazzo; Sashikumaar Ganesan; Swetlana Giere; Gunar Matthies; Raviteja Meesala; Abdus Shamim; et al. (Comput. Math. Appl., 2017)

On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows. - Volker John; Alexander Linke; Christian Merdon; Michael Neilan; Leo G. Rebholz (SIAM Rev., 2017)

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; Julia Novo (Adv. Comput. Math., 2018)

A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. - Naveed Ahmed 004; Volker John; Gunar Matthies; Julia Novo (Appl. Math. Comput., 2018)

Recent Advances in Computing. - Pavel Solín; José Luis Galán García; Vít Dolejsí; Philipp Neumann; Petr Svácek; Jaroslav Kruis; Volker John (Appl. Math. Comput., 2018)

Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story? - Volker John; Petr Knobloch; Julia Novo (Comput. Vis. Sci., 2018)

Re-visiting the single-phase flow model for liquid steel ladle stirred by gas. - Najib Alia; Volker John; Seppo Ollila (CoRR, 2018)

Simulations of an ASA flow crystallizer with a coupled stochastic-deterministic approach. - Clemens Bartsch; Volker John; Robert I. A. Patterson (Comput. Chem. Eng., 2019)

A study of solvers for nonlinear AFC discretizations of convection-diffusion equations. - Abhinav Jha; Volker John (Comput. Math. Appl., 2019)

On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem. - Philipp W. Schroeder; Volker John; Philip L. Lederer; Christoph Lehrenfeld; Gert Lube; Joachim Schöberl (Comput. Math. Appl., 2019)

On the feasibility of using open source solvers for the simulation of a turbulent air flow in a dairy barn. - David Janke; Alfonso Caiazzo; Naveed Ahmed 004; Najib Alia; Oswald Knoth; Baptiste Moreau; Ulrich Wilbrandt; Dilya Willink; Thomas Amon; Volker John (Comput. Electron. Agric., 2020)

Existence of solutions of a finite element flux-corrected-transport scheme. - Volker John; Petr Knobloch (Appl. Math. Lett., 2021)

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

On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations. - Volker John; Petr Knobloch; Paul Korsmeier (Math. Comput., 2021)

On a technique for reducing spurious oscillations in DG solutions of convection-diffusion equations. - Derk Frerichs-Mihov; Volker John (Appl. Math. Lett., 2022)

Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations. - Volker John; Baptiste Moreau; Julia Novo (Comput. Math. Appl., 2022)

Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids by Raviart-Thomas enrichment. - Volker John; Xu Li; Christian Merdon; Hongxing Rui (CoRR, 2022)

Impact of Turbulence Modeling on the Simulation of Blood Flow in Aortic Coarctation. - Sarah Katz; Alfonso Caiazzo; Baptiste Moreau; Ulrich Wilbrandt; Jan Brüning; Leonid Goubergrits; Volker John (CoRR, 2022)

Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids for Navier-Stokes equations. - Naveed Ahmed 004; Volker John; Xu Li; Christian Merdon (CoRR, 2022)

On algebraically stabilized schemes for convection-diffusion-reaction problems. - Volker John; Petr Knobloch (Numerische Mathematik, 2022)

Impact of viscosity modeling on the simulation of aortic blood flow. - Sarah Katz; Alfonso Caiazzo; Volker John (J. Comput. Appl. Math., 2023)

POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution. - Bosco García-Archilla; Volker John; Julia Novo (SIAM J. Numer. Anal., 2023)

A posteriori optimization of parameters in stabilized methods for convection-diffusion problems - Part II. - Volker John; Petr Knobloch; Ulrich Wilbrandt (J. Comput. Appl. Math., 2023)

Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations. - Abhinav Jha; Volker John; Petr Knobloch (SIAM J. Sci. Comput., 2023)

A Numerical Assessment of Finite Element Discretizations for Convection-Diffusion-Reaction Equations Satisfying Discrete Maximum Principles. - Volker John; Petr Knobloch; Ondrej Pártl (Comput. Methods Appl. Math., 2023)

Using Deep Neural Networks for Detecting Spurious Oscillations in Discontinuous Galerkin Solutions of Convection-Dominated Convection-Diffusion Equations. - Derk Frerichs-Mihov; Linus Henning; Volker John (J. Sci. Comput., 2023)

Second order error bounds for POD-ROM methods based on first order divided differences. - Bosco García-Archilla; Volker John; Julia Novo (Appl. Math. Lett., 2023)

Pressure-robust L2(Ω) error analysis for Raviart-Thomas enriched Scott-Vogelius pairs. - Volker John; Xu Li; Christian Merdon (Appl. Math. Lett., 2024)

Inf-sup stabilized Scott-Vogelius pairs on general shape-regular simplicial grids for Navier-Stokes equations. - Naveed Ahmed 004; Volker John; Xu Li; Christian Merdon (Comput. Math. Appl., 2024)

Improving hp-Variational Physics-Informed Neural Networks for Steady-State Convection-Dominated Problems. - Thivin Anandh; Divij Ghose; Himanshu Jain; Pratham Sunkad; Sashikumaar Ganesan; Volker John (CoRR, 2024)

Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations. - Gabriel R. Barrenechea; Volker John; Petr Knobloch (SIAM Rev., 2024)

POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure. - Bosco García-Archilla; Volker John; Sarah Katz; Julia Novo (J. Num. Math., 2024)

POD-ROM Methods: From a Finite Set of Snapshots to Continuous-in-Time Approximations. - Bosco García-Archilla; Volker John; Julia Novo (SIAM J. Numer. Anal., 2025)

Augmenting the grad-div stabilization for Taylor-Hood finite elements with a vorticity stabilization. - Volker John; Christian Merdon; Marwa Zainelabdeen (J. Num. Math., 2025)

Error analysis of BDF schemes for the evolutionary incompressible Navier-Stokes equations. - Bosco García-Archilla; Volker John; Julia Novo (CoRR, 2025)