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2020 – today
- 2024
[j50]Volker John
, Xu Li, Christian Merdon:
Pressure-robust L2(Ω) error analysis for Raviart-Thomas enriched Scott-Vogelius pairs. Appl. Math. Lett. 156: 109138 (2024)- [j49]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: 148-161 (2024) - [j48]Gabriel R. Barrenechea, Volker John, Petr Knobloch:
Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations. SIAM Rev. 66(1): 3-88 (2024) - [i12]Bosco García-Archilla, Volker John, Julia Novo:
POD-ROM methods: from a finite set of snapshots to continuous-in-time approximations. CoRR abs/2403.06967 (2024) - 2023
- [j47]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: 108836 (2023) - [j46]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): 969-988 (2023) - [j45]Sarah Katz, Alfonso Caiazzo, Volker John:
Impact of viscosity modeling on the simulation of aortic blood flow. J. Comput. Appl. Math. 425: 115036 (2023) - [j44]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: 115167 (2023) - [j43]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): 36 (2023) - [j42]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): 1340-1368 (2023) - [j41]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): 564- (2023) - [i11]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 abs/2304.08313 (2023) - [i10]Bosco García-Archilla, Volker John, Julia Novo:
Second order error bounds for POD-ROM methods based on first order divided differences. CoRR abs/2306.03550 (2023) - 2022
- [j40]Derk Frerichs-Mihov, Volker John:
On a technique for reducing spurious oscillations in DG solutions of convection-diffusion equations. Appl. Math. Lett. 129: 107969 (2022) - [j39]Volker John, Baptiste Moreau, Julia Novo:
Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations. Comput. Math. Appl. 122: 48-60 (2022) - [j38]Volker John, Petr Knobloch:
On algebraically stabilized schemes for convection-diffusion-reaction problems. Numerische Mathematik 152(3): 553-585 (2022) - [i9]Gabriel R. Barrenechea, Volker John, Petr Knobloch:
Finite element methods respecting the discrete maximum principle for convection-diffusion equations. CoRR abs/2204.07480 (2022) - [i8]Volker John, Xu Li, Christian Merdon, Hongxing Rui:
Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids by Raviart-Thomas enrichment. CoRR abs/2206.01242 (2022) - [i7]Bosco García-Archilla, Volker John, Julia Novo:
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution. CoRR abs/2206.09123 (2022) - [i6]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 abs/2208.14217 (2022) - [i5]Naveed Ahmed, Volker John, Xu Li, Christian Merdon:
Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids for Navier-Stokes equations. CoRR abs/2212.10909 (2022) - 2021
- [j37]Volker John, Petr Knobloch:
Existence of solutions of a finite element flux-corrected-transport scheme. Appl. Math. Lett. 115: 106932 (2021) - [j36]Derk Frerichs, Volker John:
On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection-diffusion equations. J. Comput. Appl. Math. 393: 113487 (2021) - [j35]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): 595-611 (2021) - [i4]Volker John, Petr Knobloch:
On algebraically stabilized schemes for convection-diffusion-reaction problems. CoRR abs/2111.08697 (2021) - 2020
- [j34]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: 105546 (2020)
2010 – 2019
- 2019
- [j33]Clemens Bartsch, Volker John, Robert I. A. Patterson:
Simulations of an ASA flow crystallizer with a coupled stochastic-deterministic approach. Comput. Chem. Eng. 124: 350-363 (2019) - [j32]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): 1010-1028 (2019) - [j31]Abhinav Jha, Volker John:
A study of solvers for nonlinear AFC discretizations of convection-diffusion equations. Comput. Math. Appl. 78(9): 3117-3138 (2019) - 2018
- [j30]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): 195-225 (2018) - [j29]Pavel Solín, José Luis Galán García, Vít Dolejsí, Philipp Neumann, Petr Svácek, Jaroslav Kruis, Volker John:
Recent Advances in Computing. Appl. Math. Comput. 319: 1 (2018) - [j28]Naveed Ahmed, Volker John, Gunar Matthies, Julia Novo:
A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. Appl. Math. Comput. 333: 304-324 (2018) - [j27]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): 47-63 (2018) - [i3]Najib Alia, Volker John, Seppo Ollila:
Re-visiting the single-phase flow model for liquid steel ladle stirred by gas. CoRR abs/1811.11535 (2018) - 2017
- [j26]Jannis Bulling, Volker John, Petr Knobloch:
Isogeometric analysis for flows around a cylinder. Appl. Math. Lett. 63: 65-70 (2017) - [j25]Swetlana Giere, Volker John:
Towards physically admissible reduced-order solutions for convection-diffusion problems. Appl. Math. Lett. 73: 78-83 (2017) - [j24]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): 74-88 (2017) - [j23]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): 492-544 (2017) - [i2]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 abs/1705.08784 (2017) - 2016
- [j22]Javier de Frutos, Volker John, Julia Novo:
Projection methods for incompressible flow problems with WENO finite difference schemes. J. Comput. Phys. 309: 368-386 (2016) - [j21]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): 991-1024 (2016) - [j20]Gabriel R. Barrenechea, Volker John, Petr Knobloch:
Analysis of Algebraic Flux Correction Schemes. SIAM J. Numer. Anal. 54(4): 2427-2451 (2016) - [c3]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: 106-115 - [i1]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 abs/1609.04809 (2016) - 2015
- [j19]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: 95-104 (2015) - [j18]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): 1005-1031 (2015) - 2014
- [j17]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): 491-516 (2014) - [j16]Volker John, Liesel Schumacher:
A study of isogeometric analysis for scalar convection-diffusion equations. Appl. Math. Lett. 27: 43-48 (2014) - [j15]Alfonso Caiazzo, Traian Iliescu, Volker John, Swetlana Schyschlowa:
A numerical investigation of velocity-pressure reduced order models for incompressible flows. J. Comput. Phys. 259: 598-616 (2014) - 2012
- [j14]Volker John, Julia Novo:
On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. J. Comput. Phys. 231(4): 1570-1586 (2012) - 2011
- [j13]Volker John, Julia Novo:
Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations. SIAM J. Numer. Anal. 49(3): 1149-1176 (2011) - 2010
- [j12]Volker John, Adela Kindl, Carina Suciu:
Finite element LES and VMS methods on tetrahedral meshes. J. Comput. Appl. Math. 233(12): 3095-3102 (2010) - [j11]Volker John, Adela Kindl:
A variational multiscale method for turbulent flow simulation with adaptive large scale space. J. Comput. Phys. 229(2): 301-312 (2010)
2000 – 2009
- 2008
- [j10]Volker John, Songul Kaya:
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Adv. Comput. Math. 28(1): 43-61 (2008) - 2007
- [j9]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): 245-258 (2007) - [j8]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): 2392-2407 (2007) - [j7]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): 151-179 (2007) - 2005
- [j6]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): 275-290 (2005) - [j5]Volker John, Songul Kaya:
A Finite Element Variational Multiscale Method for the Navier-Stokes Equations. SIAM J. Sci. Comput. 26(5): 1485-1503 (2005) - 2004
- [b1]Volker John:
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 2004, ISBN 978-3-540-40643-3, pp. I-XII, 1-267 - 2002
- [j4]Volker John, Petr Knobloch, Gunar Matthies, Lutz Tobiska:
Non-Nested Multi-Level Solvers for Finite Element Discretisations of Mixed Problems. Computing 68(4): 313-341 (2002) - [j3]Volker John, William J. Layton:
Analysis of Numerical Errors in Large Eddy Simulation. SIAM J. Numer. Anal. 40(3): 995-1020 (2002) - 2001
- [j2]Volker John, William J. Layton:
Approximating Local Averages of Fluid Velocities: The Stokes Problem. Computing 66(3): 269-287 (2001) - 2000
- [j1]Volker John, Lutz Tobiska:
A Coupled Multigrid Method for Nonconforming Finite Element Discretizations of the 2D-Stokes Equation. Computing 64(4): 307-321 (2000)
1990 – 1999
- 1999
- [c2]Volker John, Gunar Matthies, Teodora Mitkova, Lutz Tobiska, Panayot S. Vassilevski:
A Comparison of Three Solvers for the Incompressible Navier-Stokes Equations. LSSC 1999: 215-222 - 1997
- [c1]Volker John:
On the Parallel Performance of Coupled Multigrid Methods for the Solution of Incompressible Navier-Stokes Equations. LSSC 1997: 269-280
Coauthor Index
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