## John, Volker

Compute Distance To:
 Author ID: john.volker Published as: John, Volker; John, V. External Links: MGP
 Documents Indexed: 104 Publications since 1996, including 4 Books 2 Contributions as Editor Reviewing Activity: 38 Reviews Co-Authors: 75 Co-Authors with 90 Joint Publications 1,088 Co-Co-Authors
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### Co-Authors

 16 single-authored 17 Knobloch, Petr 13 Novo, Julia 10 Matthies, Gunar 9 Layton, William J. 9 Tobiska, Lutz 7 Ahmed, Naveed 6 Barrenechea, Gabriel R. 6 García-Archilla, Bosco 5 de Frutos, Javier 5 Kaya, Songul 5 Kindl, Adela 4 Caiazzo, Alfonso 4 Iliescu, Traian 4 Wilbrandt, Ulrich 3 Alia, Najib 3 Chacón Rebollo, Tomás 3 Dunca, Adrian 3 Giere, Swetlana 3 Linke, Alexander 3 Lube, Gert 3 Roland, Michael 2 Bartsch, Clemens 2 Berselli, Luigi Carlo 2 Ganesan, Sashikumaar 2 Rang, Joachim 2 Rebholz, Leo G. 2 Rubino, Samuele 2 Schieweck, Friedhelm 2 Schmeyer, Ellen 2 Suciu, Carina 1 Anker, Felix 1 Augustin, Matthias Albert 1 Blank, Laura 1 Braack, Malte 1 Bulling, Jannis 1 Burman, Erik 1 Dolejší, Vít 1 Dorok, Ottfried 1 Fiebach, André 1 Franca, Leopoldo Luis Cabo Penna 1 Frerichs, Derk 1 Fuhrmann, Jürgen 1 Galán-García, José Luis 1 Grisanti, Carlo-Romano 1 Hackbusch, Wolfgang 1 Jenkins, Eleanor W. 1 Jha, Abhinav K. 1 Khachatryan, Aram 1 Korsmeier, Paul 1 Kruis, Jaroslav 1 Lederer, Philip Lukas 1 Lehrenfeld, Christoph 1 Liakos, Anastasios 1 Manica, Carolina Cardoso 1 Maubach, Joseph M. L. 1 Meesala, Raviteja 1 Merdon, Christian 1 Mitkova, T. I. 1 Neilan, Michael 1 Neumann, Philipp 1 Ollila, Seppo 1 Rankin, Richard 1 Risch, Uwe 1 Savescu, Simona Blanca 1 Schöberl, Joachim 1 Schroeder, Philipp W. 1 Schumacher, Liesel 1 Schyschlowa, Swetlana 1 Shamim, Abdus 1 Šolín, Pavel 1 Sváček, Petr 1 Umla, Rudolf 1 Vassilevski, Panayot Spirov 1 Venkatesan, Jagannath 1 Wells, David R.
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### Serials

 19 Computer Methods in Applied Mechanics and Engineering 9 International Journal for Numerical Methods in Fluids 6 Journal of Computational and Applied Mathematics 6 SIAM Journal on Numerical Analysis 4 Computers & Mathematics with Applications 4 IMA Journal of Numerical Analysis 4 Journal of Computational Physics 4 Applied Mathematics Letters 3 Applied Mathematics and Computation 3 Computing 3 Advances in Computational Mathematics 2 Applied Numerical Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Computing and Visualization in Science 2 S$$\vec{\text{e}}$$MA Journal 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 International Journal for Numerical Methods in Engineering 1 Numerische Mathematik 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 International Journal of Computational Fluid Dynamics 1 Computational Geosciences 1 Archives of Computational Methods in Engineering 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Springer Series in Computational Mathematics 1 Lecture Notes in Computational Science and Engineering 1 International Journal of Computing Science and Mathematics 1 Journal of Mathematics in Industry
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### Fields

 74 Fluid mechanics (76-XX) 66 Numerical analysis (65-XX) 28 Partial differential equations (35-XX) 3 General and overarching topics; collections (00-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

94 Publications have been cited 2,109 times in 1,057 Documents Cited by Year
On the divergence constraint in mixed finite element methods for incompressible flows. Zbl 1426.76275
John, Volker; Linke, Alexander; Merdon, Christian; Neilan, Michael; Rebholz, Leo G.
2017
On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review. Zbl 1173.76342
John, Volker; Knobloch, Petr
2007
A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054
John, Volker; Kaya, Songul
2005
Stabilized finite element methods for the generalized Oseen problem. Zbl 1120.76322
Braack, M.; Burman, E.; John, V.; Lube, G.
2007
Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1228.76088
John, Volker; Schmeyer, Ellen
2008
Reference values for drag and lift of a two-dimensional time-dependent flow around a cylinder. Zbl 1085.76510
John, Volker
2004
Finite element methods for incompressible flow problems. Zbl 1358.76003
John, Volker
2016
MooNMD – a program package based on mapped finite element methods. Zbl 1061.65124
John, Volker; Matthies, Gunnar
2004
A two-level variational multiscale method for convection-dominated convection-diffusion equations. Zbl 1124.76028
John, Volker; Kaya, Songul; Layton, William
2006
On the parameter choice in grad-div stabilization for the Stokes equations. Zbl 1426.76272
Jenkins, Eleanor W.; John, Volker; Linke, Alexander; Rebholz, Leo G.
2014
Higher-order finite element discretizations in a benchmark problem for incompressible flows. Zbl 1007.76040
John, Volker; Matthies, Gunar
2001
Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Zbl 1035.76001
John, Volker
2004
A numerical study of a posteriori error estimators for convection-diffusion equations. Zbl 0973.76049
John, Volker
2000
A numerical investigation of velocity-pressure reduced order models for incompressible flows. Zbl 1349.76050
Caiazzo, Alfonso; Iliescu, Traian; John, Volker; Schyschlowa, Swetlana
2014
Error analysis of the SUPG finite element discretization of evolutionary convection-diffusion-reaction equations. Zbl 1233.65065
John, Volker; Novo, Julia
2011
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030
John, Volker; Kaya, Songul
2008
Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier-Stokes equations. Zbl 1076.76544
John, Volker
2002
On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for $$P_{1}$$ and $$Q_{1}$$ finite elements. Zbl 1194.76122
John, Volker; Knobloch, Petr
2008
An assessment of discretizations for convection-dominated convection-diffusion equations. Zbl 1230.76021
Augustin, Matthias; Caiazzo, Alfonso; Fiebach, André; Fuhrmann, Jürgen; John, Volker; Linke, Alexander; Umla, Rudolf
2011
Numerical studies of finite element variational multiscale methods for turbulent flow simulations. Zbl 1406.76029
2010
A review of variational multiscale methods for the simulation of turbulent incompressible flows. Zbl 1360.76105
Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele
2017
Adaptive time step control for the incompressible Navier-Stokes equations. Zbl 1227.76048
John, Volker; Rang, Joachim
2010
Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems. Zbl 0898.65068
John, V.; Maubach, J. M.; Tobiska, L.
1997
Analysis of algebraic flux correction schemes. Zbl 1346.65048
Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr
2016
Analysis of numerical errors in large eddy simulation. Zbl 1026.76028
John, V.; Layton, W. J.
2002
A comparison of time-discretization/linearization approaches for the incompressible Navier-Stokes equations. Zbl 1124.76041
John, Volker; Matthies, Gunar; Rang, Joachim
2006
Time-dependent flow across a step: the slip with friction boundary condition. Zbl 1086.76040
John, Volker; Liakos, Anastasios
2006
Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements. Zbl 1404.65188
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia
2018
Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity. Zbl 1154.76032
John, V.; Kaya, S.; Kindl, A.
2008
A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems. Zbl 0942.76041
John, V.; Matthies, G.; Schieweck, F.; Tobiska, L.
1998
Slip with friction and penetration with resistance boundary conditions for the Navier-Stokes equations – numerical tests and aspects of the implementation. Zbl 1021.76028
John, Volker
2002
Grad-div stabilization for the evolutionary Oseen problem with inf-sup stable finite elements. Zbl 1462.65138
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia
2016
The commutation error of the space averaged Navier-Stokes equations on a bounded domain. Zbl 1096.35101
Dunca, A.; John, V.; Layton, W. J.
2004
Numerical performance of smoothers in coupled multigrid methods for the parallel solution of the incompressible Navier-Stokes equations. Zbl 0979.76047
John, Volker; Tobiska, Lutz
2000
A robust SUPG norm a posteriori error estimator for stationary convection-diffusion equations. Zbl 1297.65157
John, Volker; Novo, Julia
2013
An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes. Zbl 1360.65275
Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr
2017
On the efficiency of linearization schemes and coupled multigrid methods in the simulation of a 3D flow around a cylinder. Zbl 1086.76039
John, Volker
2006
Simulations of the turbulent channel flow at $$Re_{\tau}=180$$ with projections-based finite element variational multiscale methods. Zbl 1127.76026
John, Volker; Roland, Michael
2007
On the performance of SOLD methods for convection-diffusion problems with interior layers. Zbl 1185.65212
John, V.; Knobloch, P.
2007
A numerical study of a class of LES models. Zbl 1148.76327
Iliescu, T.; John, V.; Layton, W. J.; Matthies, G.; Tobiska, L.
2003
Non-nested multi-level solvers for finite element discretisations of mixed problems. Zbl 1006.65137
John, V.; Knobloch, P.; Matthies, G.; Tobiska, L.
2002
On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows. Zbl 1164.76348
John, Volker
2006
A posteriori optimization of parameters in stabilized methods for convection-diffusion problems.I. Zbl 1230.76026
John, Volker; Knobloch, Petr; Savescu, Simona B.
2011
On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. Zbl 1242.65164
John, Volker; Novo, Julia
2012
A unified analysis of algebraic flux correction schemes for convection-diffusion equations. Zbl 1422.65368
Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr; Rankin, Richard
2018
Residual a posteriori error estimates for two-level finite element methods for the Navier-Stokes equations. Zbl 0987.76053
John, Volker
2001
A variational multiscale method for turbulent flow simulation with adaptive large scale space. Zbl 1375.76087
2010
Variants of projection-based finite element variational multiscale methods for the simulation of turbulent flows. Zbl 1161.76028
2008
SUPG reduced order models for convection-dominated convection-diffusion-reaction equations. Zbl 1425.65111
Giere, Swetlana; Iliescu, Traian; John, Volker; Wells, David
2015
Analysis of a full space-time discretization of the Navier-Stokes equations by a local projection stabilization method. Zbl 1407.76059
Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele
2017
An assessment of two models for the subgrid scale tensor in the rational LES model. Zbl 1107.76040
John, Volker
2005
ParMooN – a modernized program package based on mapped finite elements. Zbl 1375.65158
Wilbrandt, Ulrich; Bartsch, Clemens; Ahmed, Naveed; Alia, Najib; Anker, Felix; Blank, Laura; Caiazzo, Alfonso; Ganesan, Sashikumaar; Giere, Swetlana; Matthies, Gunar; Meesala, Raviteja; Shamim, Abdus; Venkatesan, Jagannath; John, Volker
2017
Finite element error analysis of space averaged flow fields defined by a differential filter. Zbl 1177.76193
2004
On classical iterative subdomain methods for the Stokes-Darcy problem. Zbl 1392.76074
Caiazzo, Alfonso; John, Volker; Wilbrandt, Ulrich
2014
Pressure separation – a technique for improving the velocity error in finite element discretisations of the Navier-Stokes equations. Zbl 1125.76039
Ganesan, Sashikumaar; John, Volker
2005
A comparison of parallel solvers for the incompressible Navier-Stokes equations. Zbl 1015.76072
John, V.
1999
Some analytical results for an algebraic flux correction scheme for a steady convection-diffusion equation in one dimension. Zbl 1332.65105
Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr
2015
A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations. Zbl 1303.65082
Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr
2013
Derivation and analysis of near wall models for channel and recirculating flows. Zbl 1059.76030
John, V.; Layton, W.; Sahin, N.
2004
On finite element methods for 3D time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1180.35050
John, Volker; Schmeyer, Ellen
2009
An adaptive SUPG method for evolutionary convection-diffusion equations. Zbl 1296.76090
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia
2014
Analysis of commutation errors for functions with low regularity. Zbl 1125.76032
Berselli, Luigi C.; Grisanti, Carlo R.; John, Volker
2007
An inf-sup stable and residual-free bubble element for the Oseen equations. Zbl 1153.76040
Franca, Leopoldo P.; John, Volker; Matthies, Gunar; Tobiska, Lutz
2007
Convergence of finite element approximations of large eddy motion. Zbl 1021.76019
Iliescu, Traian; John, Volker; Layton, William J.
2002
Analysis of the pressure stabilized Petrov-Galerkin method for the evolutionary Stokes equations avoiding time step restrictions. Zbl 1312.65162
John, Volker; Novo, Julia
2015
Error analysis of non inf-sup stable discretizations of the time-dependent Navier-Stokes equations with local projection stabilization. Zbl 07130807
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia
2019
On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem. Zbl 1442.76050
Schroeder, Philipp W.; John, Volker; Lederer, Philip L.; Lehrenfeld, Christoph; Lube, Gert; Schöberl, Joachim
2019
Asymptotic behaviour of commutation errors and the divergence of the Reynolds stress tensor near the wall in the turbulent channel flow. Zbl 1370.76065
Berselli, Luigi C.; John, Volker
2006
Adaptive time step control for higher order variational time discretizations applied to convection-diffusion-reaction equations. Zbl 1425.65106
Ahmed, Naveed; John, Volker
2015
Projection methods for incompressible flow problems with WENO finite difference schemes. Zbl 1351.76200
de Frutos, Javier; John, Volker; Novo, Julia
2016
Approximating local averages of fluid velocities: The Stokes problem. Zbl 0991.76043
John, V.; Layton, W. J.
2001
Approximating local averages of fluid velocities: the equilibrium Navier-Stokes equations. Zbl 1146.76605
Dunca, Adrian; John, Volker; Layton, William
2004
On discontinuity-capturing methods for convection-diffusion equations. Zbl 1119.65410
John, Volker; Knobloch, Petr
2006
Parallel finite element methods for the incompressible Navier-Stokes equations. Zbl 0876.76039
Dorok, O.; John, V.; Risch, U.; Schieweck, F.; Tobiska, L.
1996
A posteriori $$L^2$$-error estimates for the nonconforming $$P_1/P_0$$-finite element discretization of the Stokes equations. Zbl 0930.65123
John, Volker
1998
An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows. Zbl 1442.76034
Ahmed, Naveed; John, Volker
2020
A coupled multigrid method for nonconforming finite element discretizations of the 2D-Stokes equation. Zbl 0963.65126
John, V.; Tobiska, L.
2000
Convergence of time-averaged statistics of finite element approximations of the Navier-Stokes equations. Zbl 1157.74029
John, V.; Layton, W.; Manica, C. C.
2008
Parallel solution of the incompressible Navier-Stokes equations on adaptively refined grids. (Parallel Lösung der inkompressiblen Navier-Stokes Gleichungen auf adaptiv verfeinerten Gittern.) Zbl 0908.76054
John, Volker
1997
On the impact of the scheme for solving the higher dimensional equation in coupled population balance systems. Zbl 1188.76236
John, Volker; Roland, Michael
2010
A study of isogeometric analysis for scalar convection-diffusion equations. Zbl 1311.65146
John, Volker; Schumacher, Liesel
2014
An assessment of some solvers for saddle point problems emerging from the incompressible Navier-Stokes equations. Zbl 1439.76040
Ahmed, Naveed; Bartsch, Clemens; John, Volker; Wilbrandt, Ulrich
2018
Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Zbl 1138.76003
John, Volker
2002
A nonlinear local projection stabilization for convection-diffusion-reaction equations. Zbl 1267.65174
Barrenechea, G. R.; John, Volker; Knobloch, Petr
2013
Adaptive computation of parameters in stabilized methods for convection-diffusion problems. Zbl 1267.65181
John, Volker; Knobloch, Petr
2013
A study of solvers for nonlinear AFC discretizations of convection-diffusion equations. Zbl 1443.65343
Jha, Abhinav; John, Volker
2019
A numerical method for the simulation of an aggregation-driven population balance system. Zbl 1253.76024
Hackbusch, Wolfgang; John, Volker; Khachatryan, Aram; Suciu, Carina
2012
Revisiting the single-phase flow model for liquid steel ladle stirred by gas. Zbl 1481.76065
Alia, Najib; John, Volker; Ollila, Seppo
2019
Finite element LES and VMS methods on tetrahedral meshes. Zbl 1252.76042
John, Volker; Kindl, Adela; Suciu, Carina
2010
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations. Zbl 1456.65115
John, Volker; Knobloch, Petr; Korsmeier, Paul
2021
Isogeometric analysis for flows around a cylinder. Zbl 1346.76025
Bulling, Jannis; John, Volker; Knobloch, Petr
2017
On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows. Zbl 07415678
García-Archilla, Bosco; John, Volker; Novo, Julia
2021
A comparison of three solvers for the incompressible Navier-Stokes equations. Zbl 0985.76053
John, V.; Matthies, G.; Mitkova, T. I.; Tobiska, L.; Vassilevski, P. S.
2000
On the parallel performance of coupled multigrid methods for the solution of the incompressible Navier-Stokes equations. Zbl 0923.76123
John, Volker
1998
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations. Zbl 1456.65115
John, Volker; Knobloch, Petr; Korsmeier, Paul
2021
On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows. Zbl 07415678
García-Archilla, Bosco; John, Volker; Novo, Julia
2021
An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows. Zbl 1442.76034
Ahmed, Naveed; John, Volker
2020
Error analysis of non inf-sup stable discretizations of the time-dependent Navier-Stokes equations with local projection stabilization. Zbl 07130807
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia
2019
On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem. Zbl 1442.76050
Schroeder, Philipp W.; John, Volker; Lederer, Philip L.; Lehrenfeld, Christoph; Lube, Gert; Schöberl, Joachim
2019
A study of solvers for nonlinear AFC discretizations of convection-diffusion equations. Zbl 1443.65343
Jha, Abhinav; John, Volker
2019
Revisiting the single-phase flow model for liquid steel ladle stirred by gas. Zbl 1481.76065
Alia, Najib; John, Volker; Ollila, Seppo
2019
Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements. Zbl 1404.65188
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia
2018
A unified analysis of algebraic flux correction schemes for convection-diffusion equations. Zbl 1422.65368
Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr; Rankin, Richard
2018
An assessment of some solvers for saddle point problems emerging from the incompressible Navier-Stokes equations. Zbl 1439.76040
Ahmed, Naveed; Bartsch, Clemens; John, Volker; Wilbrandt, Ulrich
2018
On the divergence constraint in mixed finite element methods for incompressible flows. Zbl 1426.76275
John, Volker; Linke, Alexander; Merdon, Christian; Neilan, Michael; Rebholz, Leo G.
2017
A review of variational multiscale methods for the simulation of turbulent incompressible flows. Zbl 1360.76105
Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele
2017
An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes. Zbl 1360.65275
Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr
2017
Analysis of a full space-time discretization of the Navier-Stokes equations by a local projection stabilization method. Zbl 1407.76059
Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele
2017
ParMooN – a modernized program package based on mapped finite elements. Zbl 1375.65158
Wilbrandt, Ulrich; Bartsch, Clemens; Ahmed, Naveed; Alia, Najib; Anker, Felix; Blank, Laura; Caiazzo, Alfonso; Ganesan, Sashikumaar; Giere, Swetlana; Matthies, Gunar; Meesala, Raviteja; Shamim, Abdus; Venkatesan, Jagannath; John, Volker
2017
Isogeometric analysis for flows around a cylinder. Zbl 1346.76025
Bulling, Jannis; John, Volker; Knobloch, Petr
2017
Finite element methods for incompressible flow problems. Zbl 1358.76003
John, Volker
2016
Analysis of algebraic flux correction schemes. Zbl 1346.65048
Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr
2016
Grad-div stabilization for the evolutionary Oseen problem with inf-sup stable finite elements. Zbl 1462.65138
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia
2016
Projection methods for incompressible flow problems with WENO finite difference schemes. Zbl 1351.76200
de Frutos, Javier; John, Volker; Novo, Julia
2016
SUPG reduced order models for convection-dominated convection-diffusion-reaction equations. Zbl 1425.65111
Giere, Swetlana; Iliescu, Traian; John, Volker; Wells, David
2015
Some analytical results for an algebraic flux correction scheme for a steady convection-diffusion equation in one dimension. Zbl 1332.65105
Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr
2015
Analysis of the pressure stabilized Petrov-Galerkin method for the evolutionary Stokes equations avoiding time step restrictions. Zbl 1312.65162
John, Volker; Novo, Julia
2015
Adaptive time step control for higher order variational time discretizations applied to convection-diffusion-reaction equations. Zbl 1425.65106
Ahmed, Naveed; John, Volker
2015
On the parameter choice in grad-div stabilization for the Stokes equations. Zbl 1426.76272
Jenkins, Eleanor W.; John, Volker; Linke, Alexander; Rebholz, Leo G.
2014
A numerical investigation of velocity-pressure reduced order models for incompressible flows. Zbl 1349.76050
Caiazzo, Alfonso; Iliescu, Traian; John, Volker; Schyschlowa, Swetlana
2014
On classical iterative subdomain methods for the Stokes-Darcy problem. Zbl 1392.76074
Caiazzo, Alfonso; John, Volker; Wilbrandt, Ulrich
2014
An adaptive SUPG method for evolutionary convection-diffusion equations. Zbl 1296.76090
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia
2014
A study of isogeometric analysis for scalar convection-diffusion equations. Zbl 1311.65146
John, Volker; Schumacher, Liesel
2014
A robust SUPG norm a posteriori error estimator for stationary convection-diffusion equations. Zbl 1297.65157
John, Volker; Novo, Julia
2013
A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations. Zbl 1303.65082
Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr
2013
A nonlinear local projection stabilization for convection-diffusion-reaction equations. Zbl 1267.65174
Barrenechea, G. R.; John, Volker; Knobloch, Petr
2013
Adaptive computation of parameters in stabilized methods for convection-diffusion problems. Zbl 1267.65181
John, Volker; Knobloch, Petr
2013
On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. Zbl 1242.65164
John, Volker; Novo, Julia
2012
A numerical method for the simulation of an aggregation-driven population balance system. Zbl 1253.76024
Hackbusch, Wolfgang; John, Volker; Khachatryan, Aram; Suciu, Carina
2012
Error analysis of the SUPG finite element discretization of evolutionary convection-diffusion-reaction equations. Zbl 1233.65065
John, Volker; Novo, Julia
2011
An assessment of discretizations for convection-dominated convection-diffusion equations. Zbl 1230.76021
Augustin, Matthias; Caiazzo, Alfonso; Fiebach, André; Fuhrmann, Jürgen; John, Volker; Linke, Alexander; Umla, Rudolf
2011
A posteriori optimization of parameters in stabilized methods for convection-diffusion problems.I. Zbl 1230.76026
John, Volker; Knobloch, Petr; Savescu, Simona B.
2011
Numerical studies of finite element variational multiscale methods for turbulent flow simulations. Zbl 1406.76029
2010
Adaptive time step control for the incompressible Navier-Stokes equations. Zbl 1227.76048
John, Volker; Rang, Joachim
2010
A variational multiscale method for turbulent flow simulation with adaptive large scale space. Zbl 1375.76087
2010
On the impact of the scheme for solving the higher dimensional equation in coupled population balance systems. Zbl 1188.76236
John, Volker; Roland, Michael
2010
Finite element LES and VMS methods on tetrahedral meshes. Zbl 1252.76042
John, Volker; Kindl, Adela; Suciu, Carina
2010
On finite element methods for 3D time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1180.35050
John, Volker; Schmeyer, Ellen
2009
Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1228.76088
John, Volker; Schmeyer, Ellen
2008
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030
John, Volker; Kaya, Songul
2008
On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for $$P_{1}$$ and $$Q_{1}$$ finite elements. Zbl 1194.76122
John, Volker; Knobloch, Petr
2008
Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity. Zbl 1154.76032
John, V.; Kaya, S.; Kindl, A.
2008
Variants of projection-based finite element variational multiscale methods for the simulation of turbulent flows. Zbl 1161.76028
2008
Convergence of time-averaged statistics of finite element approximations of the Navier-Stokes equations. Zbl 1157.74029
John, V.; Layton, W.; Manica, C. C.
2008
On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review. Zbl 1173.76342
John, Volker; Knobloch, Petr
2007
Stabilized finite element methods for the generalized Oseen problem. Zbl 1120.76322
Braack, M.; Burman, E.; John, V.; Lube, G.
2007
Simulations of the turbulent channel flow at $$Re_{\tau}=180$$ with projections-based finite element variational multiscale methods. Zbl 1127.76026
John, Volker; Roland, Michael
2007
On the performance of SOLD methods for convection-diffusion problems with interior layers. Zbl 1185.65212
John, V.; Knobloch, P.
2007
Analysis of commutation errors for functions with low regularity. Zbl 1125.76032
Berselli, Luigi C.; Grisanti, Carlo R.; John, Volker
2007
An inf-sup stable and residual-free bubble element for the Oseen equations. Zbl 1153.76040
Franca, Leopoldo P.; John, Volker; Matthies, Gunar; Tobiska, Lutz
2007
A two-level variational multiscale method for convection-dominated convection-diffusion equations. Zbl 1124.76028
John, Volker; Kaya, Songul; Layton, William
2006
A comparison of time-discretization/linearization approaches for the incompressible Navier-Stokes equations. Zbl 1124.76041
John, Volker; Matthies, Gunar; Rang, Joachim
2006
Time-dependent flow across a step: the slip with friction boundary condition. Zbl 1086.76040
John, Volker; Liakos, Anastasios
2006
On the efficiency of linearization schemes and coupled multigrid methods in the simulation of a 3D flow around a cylinder. Zbl 1086.76039
John, Volker
2006
On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows. Zbl 1164.76348
John, Volker
2006
Asymptotic behaviour of commutation errors and the divergence of the Reynolds stress tensor near the wall in the turbulent channel flow. Zbl 1370.76065
Berselli, Luigi C.; John, Volker
2006
On discontinuity-capturing methods for convection-diffusion equations. Zbl 1119.65410
John, Volker; Knobloch, Petr
2006
A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054
John, Volker; Kaya, Songul
2005
An assessment of two models for the subgrid scale tensor in the rational LES model. Zbl 1107.76040
John, Volker
2005
Pressure separation – a technique for improving the velocity error in finite element discretisations of the Navier-Stokes equations. Zbl 1125.76039
Ganesan, Sashikumaar; John, Volker
2005
Reference values for drag and lift of a two-dimensional time-dependent flow around a cylinder. Zbl 1085.76510
John, Volker
2004
MooNMD – a program package based on mapped finite element methods. Zbl 1061.65124
John, Volker; Matthies, Gunnar
2004
Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Zbl 1035.76001
John, Volker
2004
The commutation error of the space averaged Navier-Stokes equations on a bounded domain. Zbl 1096.35101
Dunca, A.; John, V.; Layton, W. J.
2004
Finite element error analysis of space averaged flow fields defined by a differential filter. Zbl 1177.76193
2004
Derivation and analysis of near wall models for channel and recirculating flows. Zbl 1059.76030
John, V.; Layton, W.; Sahin, N.
2004
Approximating local averages of fluid velocities: the equilibrium Navier-Stokes equations. Zbl 1146.76605
Dunca, Adrian; John, Volker; Layton, William
2004
A numerical study of a class of LES models. Zbl 1148.76327
Iliescu, T.; John, V.; Layton, W. J.; Matthies, G.; Tobiska, L.
2003
Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier-Stokes equations. Zbl 1076.76544
John, Volker
2002
Analysis of numerical errors in large eddy simulation. Zbl 1026.76028
John, V.; Layton, W. J.
2002
Slip with friction and penetration with resistance boundary conditions for the Navier-Stokes equations – numerical tests and aspects of the implementation. Zbl 1021.76028
John, Volker
2002
Non-nested multi-level solvers for finite element discretisations of mixed problems. Zbl 1006.65137
John, V.; Knobloch, P.; Matthies, G.; Tobiska, L.
2002
Convergence of finite element approximations of large eddy motion. Zbl 1021.76019
Iliescu, Traian; John, Volker; Layton, William J.
2002
Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Zbl 1138.76003
John, Volker
2002
Higher-order finite element discretizations in a benchmark problem for incompressible flows. Zbl 1007.76040
John, Volker; Matthies, Gunar
2001
Residual a posteriori error estimates for two-level finite element methods for the Navier-Stokes equations. Zbl 0987.76053
John, Volker
2001
Approximating local averages of fluid velocities: The Stokes problem. Zbl 0991.76043
John, V.; Layton, W. J.
2001
A numerical study of a posteriori error estimators for convection-diffusion equations. Zbl 0973.76049
John, Volker
2000
Numerical performance of smoothers in coupled multigrid methods for the parallel solution of the incompressible Navier-Stokes equations. Zbl 0979.76047
John, Volker; Tobiska, Lutz
2000
A coupled multigrid method for nonconforming finite element discretizations of the 2D-Stokes equation. Zbl 0963.65126
John, V.; Tobiska, L.
2000
A comparison of three solvers for the incompressible Navier-Stokes equations. Zbl 0985.76053
John, V.; Matthies, G.; Mitkova, T. I.; Tobiska, L.; Vassilevski, P. S.
2000
A comparison of parallel solvers for the incompressible Navier-Stokes equations. Zbl 1015.76072
John, V.
1999
A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems. Zbl 0942.76041
John, V.; Matthies, G.; Schieweck, F.; Tobiska, L.
1998
A posteriori $$L^2$$-error estimates for the nonconforming $$P_1/P_0$$-finite element discretization of the Stokes equations. Zbl 0930.65123
John, Volker
1998
On the parallel performance of coupled multigrid methods for the solution of the incompressible Navier-Stokes equations. Zbl 0923.76123
John, Volker
1998
Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems. Zbl 0898.65068
John, V.; Maubach, J. M.; Tobiska, L.
1997
Parallel solution of the incompressible Navier-Stokes equations on adaptively refined grids. (Parallel Lösung der inkompressiblen Navier-Stokes Gleichungen auf adaptiv verfeinerten Gittern.) Zbl 0908.76054
John, Volker
1997
Parallel finite element methods for the incompressible Navier-Stokes equations. Zbl 0876.76039
Dorok, O.; John, V.; Risch, U.; Schieweck, F.; Tobiska, L.
1996
all top 5

### Cited by 1,403 Authors

 68 John, Volker 52 Rebholz, Leo G. 30 Linke, Alexander 27 Matthies, Gunar 26 Kuzmin, Dmitri 23 Knobloch, Petr 22 Layton, William J. 22 Novo, Julia 21 Wall, Wolfgang A. 19 Gravemeier, Volker 19 Rozza, Gianluigi 19 Tobiska, Lutz 18 Iliescu, Traian 18 Shang, Yueqiang 17 Ahmed, Naveed 16 Ganesan, Sashikumaar 16 He, Yinnian 16 Kaya, Songul 16 Neda, Monika 15 Merdon, Christian 14 Barrenechea, Gabriel R. 14 Burman, Erik 14 Lube, Gert 13 García-Archilla, Bosco 13 Hou, Yanren 13 Olshanskii, Maxim A. 12 Rubino, Samuele 11 Feng, Minfu 11 Stabile, Giovanni 10 Chacón Rebollo, Tomás 10 de Frutos, Javier 10 Dunca, Argus Adrian 10 Manica, Carolina Cardoso 10 Turek, Stefan 10 Zheng, Haibiao 9 Neilan, Michael 8 Araya, Rodolfo A. 8 Badia, Santiago 8 Rhebergen, Sander 7 Berselli, Luigi Carlo 7 Çibik, Aytekin Bayram 7 Feng, Xinlong 7 Gómez Mármol, Macarena 7 Hauke, Guillermo 7 Lederer, Philip Lukas 7 Lehrenfeld, Christoph 7 Rang, Joachim 7 Schieweck, Friedhelm 7 Schroeder, Philipp W. 7 Shi, Dongyang 6 Allendes, Alejandro 6 Beirão da Veiga, Lourenço 6 Chen, Gang 6 Codina, Ramon 6 Coutinho, Alvaro L. G. A. 6 Gunzburger, Max D. 6 Schneier, Michael 6 Schöberl, Joachim 6 Vacca, Giuseppe 5 Akbas, Mine 5 Ballarin, Francesco 5 Caiazzo, Alfonso 5 Chen, Shaochun 5 DeCaria, Victor P. 5 Doweidar, Mohamed Hamdy 5 Eroglu, Fatma G. 5 Fuhrmann, Jürgen 5 Guzmán, Johnny 5 Heister, Timo 5 Huang, Pengzhan 5 Kindl, Adela 5 Kronbichler, Martin 5 Mei, Liquan 5 Natesan, Srinivasan 5 Poza, Abner H. 5 Rodrigo, Carmen 5 Saavedra, Laura 5 Trenchea, Catalin 5 Valentin, Frédéric 5 Wang, Zhu 5 Wells, Garth N. 5 Wilbrandt, Ulrich 5 Xiao, Mengying 5 Zhang, Shangyou 4 Arndt, Daniel 4 Avijit, D. 4 Bause, Markus 4 Becker, Roland 4 Bermejo, Rodolfo 4 Bowers, Abigail L. 4 Braack, Malte 4 Camata, Jose J. 4 Colomés, Oriol 4 Dassi, Franco 4 De Luna, Manuel Quezada 4 Ern, Alexandre 4 Fu, Guosheng 4 Gaspar, Francisco José 4 Hoffman, Johan 4 Hong, Youngjoon ...and 1,303 more Authors
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### Cited in 127 Serials

 177 Computer Methods in Applied Mechanics and Engineering 79 Journal of Computational Physics 56 Journal of Scientific Computing 53 Computers & Mathematics with Applications 52 Journal of Computational and Applied Mathematics 43 Computers and Fluids 39 Applied Numerical Mathematics 37 Applied Mathematics and Computation 31 SIAM Journal on Numerical Analysis 30 SIAM Journal on Scientific Computing 24 International Journal for Numerical Methods in Fluids 24 Numerical Methods for Partial Differential Equations 18 Advances in Computational Mathematics 16 Journal of Mathematical Analysis and Applications 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Mathematics of Computation 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Computational Methods in Applied Mathematics 10 Numerische Mathematik 10 Advances in Applied Mathematics and Mechanics 9 Applied Mathematical Modelling 9 International Journal of Computer Mathematics 8 Calcolo 8 Applied Mathematics Letters 8 Numerical Algorithms 8 Journal of Numerical Mathematics 7 Mathematical Methods in the Applied Sciences 7 International Journal for Numerical Methods in Engineering 7 Engineering Analysis with Boundary Elements 7 Journal of Mathematical Fluid Mechanics 6 BIT 6 Applied Mathematics and Mechanics. (English Edition) 6 Computational Mechanics 6 Computational and Applied Mathematics 6 International Journal of Computational Methods 5 Mathematics and Computers in Simulation 5 Mathematical Problems in Engineering 5 International Journal of Computational Fluid Dynamics 5 Archives of Computational Methods in Engineering 4 Computing 4 Mathematical and Computer Modelling 4 Applications of Mathematics 4 Computational Geosciences 4 Discrete and Continuous Dynamical Systems. Series B 4 International Journal of Numerical Analysis and Modeling 4 International Journal of Advances in Engineering Sciences and Applied Mathematics 4 S$$\vec{\text{e}}$$MA Journal 3 Applicable Analysis 3 Journal of Engineering Mathematics 3 Journal of Fluid Mechanics 3 Numerical Linear Algebra with Applications 3 Computing and Visualization in Science 3 Abstract and Applied Analysis 3 European Journal of Mechanics. B. Fluids 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Applied Mathematics and Computing 3 Central European Journal of Mathematics 3 Communications in Computational Physics 3 Advances in Numerical Analysis 3 Journal of Mathematics in Industry 3 Communications in Applied and Industrial Mathematics 3 SMAI Journal of Computational Mathematics 2 International Journal of Heat and Mass Transfer 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Acta Applicandae Mathematicae 2 Cybernetics and Systems Analysis 2 Computational Optimization and Applications 2 Physics of Fluids 2 Vietnam Journal of Mathematics 2 Advances in Difference Equations 2 GEM - International Journal on Geomathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Results in Applied Mathematics 1 Communications on Pure and Applied Mathematics 1 Journal of Statistical Physics 1 Mathematische Semesterberichte 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Differential Equations 1 Meccanica 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 COMPEL 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Communications in Numerical Methods in Engineering 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Difference Equations and Applications 1 Journal of Mathematical Chemistry 1 Mathematics and Mechanics of Solids ...and 27 more Serials
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### Cited in 28 Fields

 781 Numerical analysis (65-XX) 769 Fluid mechanics (76-XX) 315 Partial differential equations (35-XX) 53 Mechanics of deformable solids (74-XX) 22 Biology and other natural sciences (92-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 Ordinary differential equations (34-XX) 11 Geophysics (86-XX) 7 Optics, electromagnetic theory (78-XX) 6 Approximations and expansions (41-XX) 6 Probability theory and stochastic processes (60-XX) 4 Real functions (26-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 3 Operations research, mathematical programming (90-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX)