Volker John

Publication Activity (10 Years)

Years Active: 1997-2024
Publications (10 Years): 44

Top Topics

Diffusion Equation

Recent Advances

Top Venues

Appl. Math. Lett.

Comput. Math. Appl.

SIAM J. Numer. Anal.

Publications

Gabriel R. Barrenechea, Volker John, Petr Knobloch
Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations. SIAM Rev. 66 (1) (2024)
Volker John, Xu Li, Christian Merdon
Pressure-robust L2(Ω) error analysis for Raviart-Thomas enriched Scott-Vogelius pairs. Appl. Math. Lett. 156 (2024)
Bosco García-Archilla, Volker John, Julia Novo
POD-ROM methods: from a finite set of snapshots to continuous-in-time approximations. CoRR (2024)
Naveed Ahmed, Volker John, Xu Li, Christian Merdon
Inf-sup stabilized Scott-Vogelius pairs on general shape-regular simplicial grids for Navier-Stokes equations. Comput. Math. Appl. 168 (2024)
Abhinav Jha, Volker John, Petr Knobloch
Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations. SIAM J. Sci. Comput. 45 (4) (2023)
Bosco García-Archilla, Volker John, Sarah Katz, Julia Novo
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure. CoRR (2023)
Derk Frerichs-Mihov, Linus Henning, Volker John
Using Deep Neural Networks for Detecting Spurious Oscillations in Discontinuous Galerkin Solutions of Convection-Dominated Convection-Diffusion Equations. J. Sci. Comput. 97 (2) (2023)
Sarah Katz, Alfonso Caiazzo, Volker John
Impact of viscosity modeling on the simulation of aortic blood flow. J. Comput. Appl. Math. 425 (2023)
Volker John, Petr Knobloch, Ulrich Wilbrandt
A posteriori optimization of parameters in stabilized methods for convection-diffusion problems - Part II. J. Comput. Appl. Math. 428 (2023)
Bosco García-Archilla, Volker John, Julia Novo
Second order error bounds for POD-ROM methods based on first order divided differences. Appl. Math. Lett. 146 (2023)
Volker John, Petr Knobloch, Ondrej Pártl
A Numerical Assessment of Finite Element Discretizations for Convection-Diffusion-Reaction Equations Satisfying Discrete Maximum Principles. Comput. Methods Appl. Math. 23 (4) (2023)
Bosco García-Archilla, Volker John, Julia Novo
Second order error bounds for POD-ROM methods based on first order divided differences. CoRR (2023)
Bosco García-Archilla, Volker John, Julia Novo
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution. SIAM J. Numer. Anal. 61 (3) (2023)
Volker John, Xu Li, Christian Merdon, Hongxing Rui
Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids by Raviart-Thomas enrichment. CoRR (2022)
Sarah Katz, Alfonso Caiazzo, Baptiste Moreau, Ulrich Wilbrandt, Jan Brüning, Leonid Goubergrits, Volker John
Impact of Turbulence Modeling on the Simulation of Blood Flow in Aortic Coarctation. CoRR (2022)
Naveed Ahmed, Volker John, Xu Li, Christian Merdon
Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids for Navier-Stokes equations. CoRR (2022)
Volker John, Petr Knobloch
On algebraically stabilized schemes for convection-diffusion-reaction problems. Numerische Mathematik 152 (3) (2022)
Volker John, Baptiste Moreau, Julia Novo
Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations. Comput. Math. Appl. 122 (2022)
Gabriel R. Barrenechea, Volker John, Petr Knobloch
Finite element methods respecting the discrete maximum principle for convection-diffusion equations. CoRR (2022)
Bosco García-Archilla, Volker John, Julia Novo
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution. CoRR (2022)
Derk Frerichs-Mihov, Volker John
On a technique for reducing spurious oscillations in DG solutions of convection-diffusion equations. Appl. Math. Lett. 129 (2022)
Derk Frerichs, Volker John
On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection-diffusion equations. J. Comput. Appl. Math. 393 (2021)
Volker John, Petr Knobloch, Paul Korsmeier
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations. Math. Comput. 90 (328) (2021)
Volker John, Petr Knobloch
On algebraically stabilized schemes for convection-diffusion-reaction problems. CoRR (2021)
Volker John, Petr Knobloch
Existence of solutions of a finite element flux-corrected-transport scheme. Appl. Math. Lett. 115 (2021)
David Janke, Alfonso Caiazzo, Naveed Ahmed, Najib Alia, Oswald Knoth, Baptiste Moreau, Ulrich Wilbrandt, Dilya Willink, Thomas Amon, Volker John
On the feasibility of using open source solvers for the simulation of a turbulent air flow in a dairy barn. Comput. Electron. Agric. 175 (2020)
Philipp W. Schroeder, Volker John, Philip L. Lederer, Christoph Lehrenfeld, Gert Lube, Joachim Schöberl
On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem. Comput. Math. Appl. 77 (4) (2019)
Abhinav Jha, Volker John
A study of solvers for nonlinear AFC discretizations of convection-diffusion equations. Comput. Math. Appl. 78 (9) (2019)
Clemens Bartsch, Volker John, Robert I. A. Patterson
Simulations of an ASA flow crystallizer with a coupled stochastic-deterministic approach. Comput. Chem. Eng. 124 (2019)
Naveed Ahmed, Volker John, Gunar Matthies, Julia Novo
A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. Appl. Math. Comput. 333 (2018)
Volker John, Petr Knobloch, Julia Novo
Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story? Comput. Vis. Sci. 19 (5-6) (2018)
Javier de Frutos, Bosco García-Archilla, Volker John, Julia Novo
Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements. Adv. Comput. Math. 44 (1) (2018)
Pavel Solín, José Luis Galán García, Vít Dolejsí, Philipp Neumann, Petr Svácek, Jaroslav Kruis, Volker John
Recent Advances in Computing. Appl. Math. Comput. 319 (2018)
Najib Alia, Volker John, Seppo Ollila
Re-visiting the single-phase flow model for liquid steel ladle stirred by gas. CoRR (2018)
Swetlana Giere, Volker John
Towards physically admissible reduced-order solutions for convection-diffusion problems. Appl. Math. Lett. 73 (2017)
Ulrich Wilbrandt, Clemens Bartsch, Naveed Ahmed, Najib Alia, Felix Anker, Laura Blank, Alfonso Caiazzo, Sashikumaar Ganesan, Swetlana Giere, Gunar Matthies, Raviteja Meesala, Abdus Shamim, Jagannath Venkatesan, Volker John
ParMooN - a modernized program package based on mapped finite elements. CoRR (2017)
Volker John, Alexander Linke, Christian Merdon, Michael Neilan, Leo G. Rebholz
On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows. SIAM Rev. 59 (3) (2017)
Ulrich Wilbrandt, Clemens Bartsch, Naveed Ahmed, Najib Alia, Felix Anker, Laura Blank, Alfonso Caiazzo, Sashikumaar Ganesan, Swetlana Giere, Gunar Matthies, Raviteja Meesala, Abdus Shamim, Jagannath Venkatesan, Volker John
ParMooN - A modernized program package based on mapped finite elements. Comput. Math. Appl. 74 (1) (2017)
Jannis Bulling, Volker John, Petr Knobloch
Isogeometric analysis for flows around a cylinder. Appl. Math. Lett. 63 (2017)
Sashikumaar Ganesan, Volker John, Gunar Matthies, Raviteja Meesala, Shamim Abdus, Ulrich Wilbrandt
An object oriented parallel finite element scheme for computations of PDEs: Design and implementation. CoRR (2016)
Javier de Frutos, Bosco García-Archilla, Volker John, Julia Novo
Grad-div Stabilization for the Evolutionary Oseen Problem with Inf-sup Stable Finite Elements. J. Sci. Comput. 66 (3) (2016)
Gabriel R. Barrenechea, Volker John, Petr Knobloch
Analysis of Algebraic Flux Correction Schemes. SIAM J. Numer. Anal. 54 (4) (2016)
Sashikumaar Ganesan, Volker John, Gunar Matthies, Raviteja Meesala, Shamim Abdus, Ulrich Wilbrandt
An Object Oriented Parallel Finite Element Scheme for Computations of PDEs: Design and Implementation. HiPC Workshops (2016)
Javier de Frutos, Volker John, Julia Novo
Projection methods for incompressible flow problems with WENO finite difference schemes. J. Comput. Phys. 309 (2016)
Volker John, Julia Novo
Analysis of the Pressure Stabilized Petrov-Galerkin Method for the Evolutionary Stokes Equations Avoiding Time Step Restrictions. SIAM J. Numer. Anal. 53 (2) (2015)
Felix Anker, Sashikumaar Ganesan, Volker John, Ellen Schmeyer
A comparative study of a direct discretization and an operator-splitting solver for population balance systems. Comput. Chem. Eng. 75 (2015)
Alfonso Caiazzo, Traian Iliescu, Volker John, Swetlana Schyschlowa
A numerical investigation of velocity-pressure reduced order models for incompressible flows. J. Comput. Phys. 259 (2014)
Eleanor W. Jenkins, Volker John, Alexander Linke, Leo G. Rebholz
On the parameter choice in grad-div stabilization for the Stokes equations. Adv. Comput. Math. 40 (2) (2014)
Volker John, Liesel Schumacher
A study of isogeometric analysis for scalar convection-diffusion equations. Appl. Math. Lett. 27 (2014)
Volker John, Julia Novo
On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. J. Comput. Phys. 231 (4) (2012)
Volker John, Julia Novo
Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations. SIAM J. Numer. Anal. 49 (3) (2011)
Volker John, Adela Kindl, Carina Suciu
Finite element LES and VMS methods on tetrahedral meshes. J. Comput. Appl. Math. 233 (12) (2010)
Volker John, Adela Kindl
A variational multiscale method for turbulent flow simulation with adaptive large scale space. J. Comput. Phys. 229 (2) (2010)
Volker John, Songul Kaya
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Adv. Comput. Math. 28 (1) (2008)
Leopoldo P. Franca, Volker John, Gunar Matthies, Lutz Tobiska
An inf-sup Stable and Residual-Free Bubble Element for the Oseen Equations. SIAM J. Numer. Anal. 45 (6) (2007)
Volker John, Petr Knobloch
On the performance of SOLD methods for convection-diffusion problems with interior layers. Int. J. Comput. Sci. Math. 1 (2/3/4) (2007)
Volker John, William J. Layton, Carolina C. Manica
Convergence of Time-Averaged Statistics of Finite Element Approximations of the Navier-Stokes Equations. SIAM J. Numer. Anal. 46 (1) (2007)
Volker John, Songul Kaya
A Finite Element Variational Multiscale Method for the Navier-Stokes Equations. SIAM J. Sci. Comput. 26 (5) (2005)
Sashikumaar Ganesan, Volker John
Pressure separation--a technique for improving the velocity error in finite element discretisations of the Navier-Stokes equations. Appl. Math. Comput. 165 (2) (2005)
Volker John, William J. Layton
Analysis of Numerical Errors in Large Eddy Simulation. SIAM J. Numer. Anal. 40 (3) (2002)
Volker John, Petr Knobloch, Gunar Matthies, Lutz Tobiska
Non-Nested Multi-Level Solvers for Finite Element Discretisations of Mixed Problems. Computing 68 (4) (2002)
Volker John, William J. Layton
Approximating Local Averages of Fluid Velocities: The Stokes Problem. Computing 66 (3) (2001)
Volker John, Lutz Tobiska
A Coupled Multigrid Method for Nonconforming Finite Element Discretizations of the 2D-Stokes Equation. Computing 64 (4) (2000)
Volker John, Gunar Matthies, Teodora Mitkova, Lutz Tobiska, Panayot S. Vassilevski
A Comparison of Three Solvers for the Incompressible Navier-Stokes Equations. LSSC (1999)
Volker John
On the Parallel Performance of Coupled Multigrid Methods for the Solution of Incompressible Navier-Stokes Equations. LSSC (1997)