Edit Profile (opens in new tab) John, Volker Compute Distance To: Compute Author ID: john.volker Published as: John, Volker; John, V. External Links: MGP Documents Indexed: 107 Publications since 1996, including 4 Books 2 Contributions as Editor Reviewing Activity: 38 Reviews Co-Authors: 77 Co-Authors with 93 Joint Publications 1,130 Co-Co-Authors all top 5 Co-Authors 16 single-authored 18 Knobloch, Petr 14 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-Mihov, Derk 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 Moreau, Baptiste 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. all top 5 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 5 Computers & Mathematics with Applications 5 Applied Mathematics Letters 4 IMA Journal of Numerical Analysis 4 Journal of Computational Physics 3 Applied Mathematics and Computation 3 Computing 3 Advances in Computational Mathematics 2 Numerische Mathematik 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 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 all top 5 Fields 77 Fluid mechanics (76-XX) 70 Numerical analysis (65-XX) 30 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 2,347 times in 1,188 Documents Cited by ▼ Year ▼ On the divergence constraint in mixed finite element methods for incompressible flows. Zbl 1426.76275John, Volker; Linke, Alexander; Merdon, Christian; Neilan, Michael; Rebholz, Leo G. 153 2017 On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review. Zbl 1173.76342John, Volker; Knobloch, Petr 108 2007 A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054John, Volker; Kaya, Songul 107 2005 Stabilized finite element methods for the generalized Oseen problem. Zbl 1120.76322Braack, M.; Burman, E.; John, V.; Lube, G. 102 2007 Finite element methods for incompressible flow problems. Zbl 1358.76003John, Volker 102 2016 Reference values for drag and lift of a two-dimensional time-dependent flow around a cylinder. Zbl 1085.76510John, Volker 100 2004 Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1228.76088John, Volker; Schmeyer, Ellen 97 2008 MooNMD – a program package based on mapped finite element methods. Zbl 1061.65124John, Volker; Matthies, Gunnar 78 2004 On the parameter choice in grad-div stabilization for the Stokes equations. Zbl 1426.76272Jenkins, Eleanor W.; John, Volker; Linke, Alexander; Rebholz, Leo G. 59 2014 A two-level variational multiscale method for convection-dominated convection-diffusion equations. Zbl 1124.76028John, Volker; Kaya, Songul; Layton, William 57 2006 A numerical investigation of velocity-pressure reduced order models for incompressible flows. Zbl 1349.76050Caiazzo, Alfonso; Iliescu, Traian; John, Volker; Schyschlowa, Swetlana 52 2014 Higher-order finite element discretizations in a benchmark problem for incompressible flows. Zbl 1007.76040John, Volker; Matthies, Gunar 51 2001 Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Zbl 1035.76001John, Volker 51 2004 Error analysis of the SUPG finite element discretization of evolutionary convection-diffusion-reaction equations. Zbl 1233.65065John, Volker; Novo, Julia 48 2011 A numerical study of a posteriori error estimators for convection-diffusion equations. Zbl 0973.76049John, Volker 45 2000 Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier-Stokes equations. Zbl 1076.76544John, Volker 42 2002 Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030John, Volker; Kaya, Songul 41 2008 On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for \(P_{1}\) and \(Q_{1}\) finite elements. Zbl 1194.76122John, Volker; Knobloch, Petr 40 2008 A review of variational multiscale methods for the simulation of turbulent incompressible flows. Zbl 1360.76105Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele 39 2017 An assessment of discretizations for convection-dominated convection-diffusion equations. Zbl 1230.76021Augustin, Matthias; Caiazzo, Alfonso; Fiebach, André; Fuhrmann, Jürgen; John, Volker; Linke, Alexander; Umla, Rudolf 37 2011 Numerical studies of finite element variational multiscale methods for turbulent flow simulations. Zbl 1406.76029John, Volker; Kindl, Adela 34 2010 Analysis of algebraic flux correction schemes. Zbl 1346.65048Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr 34 2016 Adaptive time step control for the incompressible Navier-Stokes equations. Zbl 1227.76048John, Volker; Rang, Joachim 33 2010 Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems. Zbl 0898.65068John, V.; Maubach, J. M.; Tobiska, L. 32 1997 A comparison of time-discretization/linearization approaches for the incompressible Navier-Stokes equations. Zbl 1124.76041John, Volker; Matthies, Gunar; Rang, Joachim 30 2006 Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements. Zbl 1404.65188de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 30 2018 Analysis of numerical errors in large eddy simulation. Zbl 1026.76028John, V.; Layton, W. J. 28 2002 Time-dependent flow across a step: the slip with friction boundary condition. Zbl 1086.76040John, Volker; Liakos, Anastasios 27 2006 Slip with friction and penetration with resistance boundary conditions for the Navier-Stokes equations – numerical tests and aspects of the implementation. Zbl 1021.76028John, Volker 26 2002 Numerical performance of smoothers in coupled multigrid methods for the parallel solution of the incompressible Navier-Stokes equations. Zbl 0979.76047John, Volker; Tobiska, Lutz 24 2000 Grad-div stabilization for the evolutionary Oseen problem with inf-sup stable finite elements. Zbl 1462.65138de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 24 2016 Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity. Zbl 1154.76032John, V.; Kaya, S.; Kindl, A. 24 2008 A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems. Zbl 0942.76041John, V.; Matthies, G.; Schieweck, F.; Tobiska, L. 24 1998 The commutation error of the space averaged Navier-Stokes equations on a bounded domain. Zbl 1096.35101Dunca, A.; John, V.; Layton, W. J. 22 2004 SUPG reduced order models for convection-dominated convection-diffusion-reaction equations. Zbl 1425.65111Giere, Swetlana; Iliescu, Traian; John, Volker; Wells, David 22 2015 An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes. Zbl 1360.65275Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr 21 2017 A unified analysis of algebraic flux correction schemes for convection-diffusion equations. Zbl 1422.65368Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr; Rankin, Richard 20 2018 On the efficiency of linearization schemes and coupled multigrid methods in the simulation of a 3D flow around a cylinder. Zbl 1086.76039John, Volker 19 2006 A robust SUPG norm a posteriori error estimator for stationary convection-diffusion equations. Zbl 1297.65157John, Volker; Novo, Julia 19 2013 Simulations of the turbulent channel flow at \(Re_{\tau}=180\) with projections-based finite element variational multiscale methods. Zbl 1127.76026John, Volker; Roland, Michael 18 2007 Analysis of a full space-time discretization of the Navier-Stokes equations by a local projection stabilization method. Zbl 1407.76059Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele 18 2017 Residual a posteriori error estimates for two-level finite element methods for the Navier-Stokes equations. Zbl 0987.76053John, Volker 16 2001 On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows. Zbl 1164.76348John, Volker 16 2006 A numerical study of a class of LES models. Zbl 1148.76327Iliescu, T.; John, V.; Layton, W. J.; Matthies, G.; Tobiska, L. 16 2003 On the performance of SOLD methods for convection-diffusion problems with interior layers. Zbl 1185.65212John, V.; Knobloch, P. 16 2007 A posteriori optimization of parameters in stabilized methods for convection-diffusion problems.I. Zbl 1230.76026John, Volker; Knobloch, Petr; Savescu, Simona B. 15 2011 Non-nested multi-level solvers for finite element discretisations of mixed problems. Zbl 1006.65137John, V.; Knobloch, P.; Matthies, G.; Tobiska, L. 15 2002 On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. Zbl 1242.65164John, Volker; Novo, Julia 15 2012 ParMooN – a modernized program package based on mapped finite elements. Zbl 1375.65158Wilbrandt, 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 13 2017 Variants of projection-based finite element variational multiscale methods for the simulation of turbulent flows. Zbl 1161.76028John, Volker; Kindl, Adela 13 2008 An assessment of two models for the subgrid scale tensor in the rational LES model. Zbl 1107.76040John, Volker 13 2005 A variational multiscale method for turbulent flow simulation with adaptive large scale space. Zbl 1375.76087John, Volker; Kindl, Adela 13 2010 On classical iterative subdomain methods for the Stokes-Darcy problem. Zbl 1392.76074Caiazzo, Alfonso; John, Volker; Wilbrandt, Ulrich 12 2014 On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem. Zbl 1442.76050Schroeder, Philipp W.; John, Volker; Lederer, Philip L.; Lehrenfeld, Christoph; Lube, Gert; Schöberl, Joachim 12 2019 Finite element error analysis of space averaged flow fields defined by a differential filter. Zbl 1177.76193Dunca, Adrian; John, Volker 11 2004 A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations. Zbl 1303.65082Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr 11 2013 A comparison of parallel solvers for the incompressible Navier-Stokes equations. Zbl 1015.76072John, V. 10 1999 Analysis of the pressure stabilized Petrov-Galerkin method for the evolutionary Stokes equations avoiding time step restrictions. Zbl 1312.65162John, Volker; Novo, Julia 10 2015 Some analytical results for an algebraic flux correction scheme for a steady convection-diffusion equation in one dimension. Zbl 1332.65105Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr 10 2015 On finite element methods for 3D time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1180.35050John, Volker; Schmeyer, Ellen 10 2009 Pressure separation – a technique for improving the velocity error in finite element discretisations of the Navier-Stokes equations. Zbl 1125.76039Ganesan, Sashikumaar; John, Volker 10 2005 Error analysis of non inf-sup stable discretizations of the time-dependent Navier-Stokes equations with local projection stabilization. Zbl 1496.65160de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 9 2019 Adaptive time step control for higher order variational time discretizations applied to convection-diffusion-reaction equations. Zbl 1425.65106Ahmed, Naveed; John, Volker 9 2015 Derivation and analysis of near wall models for channel and recirculating flows. Zbl 1059.76030John, V.; Layton, W.; Sahin, N. 9 2004 An adaptive SUPG method for evolutionary convection-diffusion equations. Zbl 1296.76090de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 9 2014 Analysis of commutation errors for functions with low regularity. Zbl 1125.76032Berselli, Luigi C.; Grisanti, Carlo R.; John, Volker 8 2007 Convergence of finite element approximations of large eddy motion. Zbl 1021.76019Iliescu, Traian; John, Volker; Layton, William J. 8 2002 An inf-sup stable and residual-free bubble element for the Oseen equations. Zbl 1153.76040Franca, Leopoldo P.; John, Volker; Matthies, Gunar; Tobiska, Lutz 8 2007 Asymptotic behaviour of commutation errors and the divergence of the Reynolds stress tensor near the wall in the turbulent channel flow. Zbl 1370.76065Berselli, Luigi C.; John, Volker 7 2006 Approximating local averages of fluid velocities: The Stokes problem. Zbl 0991.76043John, V.; Layton, W. J. 6 2001 Approximating local averages of fluid velocities: the equilibrium Navier-Stokes equations. Zbl 1146.76605Dunca, Adrian; John, Volker; Layton, William 6 2004 Projection methods for incompressible flow problems with WENO finite difference schemes. Zbl 1351.76200de Frutos, Javier; John, Volker; Novo, Julia 6 2016 Parallel finite element methods for the incompressible Navier-Stokes equations. Zbl 0876.76039Dorok, O.; John, V.; Risch, U.; Schieweck, F.; Tobiska, L. 5 1996 On discontinuity-capturing methods for convection-diffusion equations. Zbl 1119.65410John, Volker; Knobloch, Petr 5 2006 A posteriori \(L^2\)-error estimates for the nonconforming \(P_1/P_0\)-finite element discretization of the Stokes equations. Zbl 0930.65123John, Volker 5 1998 A study of solvers for nonlinear AFC discretizations of convection-diffusion equations. Zbl 1443.65343Jha, Abhinav; John, Volker 5 2019 On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows. Zbl 1502.65118García-Archilla, Bosco; John, Volker; Novo, Julia 5 2021 A coupled multigrid method for nonconforming finite element discretizations of the 2D-Stokes equation. Zbl 0963.65126John, V.; Tobiska, L. 4 2000 An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows. Zbl 1442.76034Ahmed, Naveed; John, Volker 4 2020 Symmetric pressure stabilization for equal-order finite element approximations to the time-dependent Navier-Stokes equations. Zbl 07528272García-Archilla, Bosco; John, Volker; Novo, Julia 4 2021 Convergence of time-averaged statistics of finite element approximations of the Navier-Stokes equations. Zbl 1157.74029John, V.; Layton, W.; Manica, C. C. 3 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 0908.76054John, Volker 3 1997 Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Zbl 1138.76003John, Volker 2 2002 An assessment of some solvers for saddle point problems emerging from the incompressible Navier-Stokes equations. Zbl 1439.76040Ahmed, Naveed; Bartsch, Clemens; John, Volker; Wilbrandt, Ulrich 2 2018 On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection-diffusion equations. Zbl 1468.65188Frerichs, Derk; John, Volker 2 2021 A nonlinear local projection stabilization for convection-diffusion-reaction equations. Zbl 1267.65174Barrenechea, G. R.; John, Volker; Knobloch, Petr 2 2013 Adaptive computation of parameters in stabilized methods for convection-diffusion problems. Zbl 1267.65181John, Volker; Knobloch, Petr 2 2013 Isogeometric analysis for flows around a cylinder. Zbl 1346.76025Bulling, Jannis; John, Volker; Knobloch, Petr 2 2017 A study of isogeometric analysis for scalar convection-diffusion equations. Zbl 1311.65146John, Volker; Schumacher, Liesel 2 2014 On the impact of the scheme for solving the higher dimensional equation in coupled population balance systems. Zbl 1188.76236John, Volker; Roland, Michael 2 2010 On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations. Zbl 1456.65115John, Volker; Knobloch, Petr; Korsmeier, Paul 1 2021 Revisiting the single-phase flow model for liquid steel ladle stirred by gas. Zbl 1481.76065Alia, Najib; John, Volker; Ollila, Seppo 1 2019 A comparison of three solvers for the incompressible Navier-Stokes equations. Zbl 0985.76053John, V.; Matthies, G.; Mitkova, T. I.; Tobiska, L.; Vassilevski, P. S. 1 2000 Towards physically admissible reduced-order solutions for convection-diffusion problems. Zbl 1377.65121Giere, Swetlana; John, Volker 1 2017 A numerical method for the simulation of an aggregation-driven population balance system. Zbl 1253.76024Hackbusch, Wolfgang; John, Volker; Khachatryan, Aram; Suciu, Carina 1 2012 Finite element LES and VMS methods on tetrahedral meshes. Zbl 1252.76042John, Volker; Kindl, Adela; Suciu, Carina 1 2010 On the parallel performance of coupled multigrid methods for the solution of the incompressible Navier-Stokes equations. Zbl 0923.76123John, Volker 1 1998 Optimal control of buoyancy-driven liquid steel stirring modeled with single-phase Navier-Stokes equations. Zbl 1485.49037Wilbrandt, Ulrich; Alia, Najib; John, Volker 1 2021 On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows. Zbl 1502.65118García-Archilla, Bosco; John, Volker; Novo, Julia 5 2021 Symmetric pressure stabilization for equal-order finite element approximations to the time-dependent Navier-Stokes equations. Zbl 07528272García-Archilla, Bosco; John, Volker; Novo, Julia 4 2021 On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection-diffusion equations. Zbl 1468.65188Frerichs, Derk; John, Volker 2 2021 On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations. Zbl 1456.65115John, Volker; Knobloch, Petr; Korsmeier, Paul 1 2021 Optimal control of buoyancy-driven liquid steel stirring modeled with single-phase Navier-Stokes equations. Zbl 1485.49037Wilbrandt, Ulrich; Alia, Najib; John, Volker 1 2021 An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows. Zbl 1442.76034Ahmed, Naveed; John, Volker 4 2020 On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem. Zbl 1442.76050Schroeder, Philipp W.; John, Volker; Lederer, Philip L.; Lehrenfeld, Christoph; Lube, Gert; Schöberl, Joachim 12 2019 Error analysis of non inf-sup stable discretizations of the time-dependent Navier-Stokes equations with local projection stabilization. Zbl 1496.65160de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 9 2019 A study of solvers for nonlinear AFC discretizations of convection-diffusion equations. Zbl 1443.65343Jha, Abhinav; John, Volker 5 2019 Revisiting the single-phase flow model for liquid steel ladle stirred by gas. Zbl 1481.76065Alia, Najib; John, Volker; Ollila, Seppo 1 2019 Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements. Zbl 1404.65188de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 30 2018 A unified analysis of algebraic flux correction schemes for convection-diffusion equations. Zbl 1422.65368Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr; Rankin, Richard 20 2018 An assessment of some solvers for saddle point problems emerging from the incompressible Navier-Stokes equations. Zbl 1439.76040Ahmed, Naveed; Bartsch, Clemens; John, Volker; Wilbrandt, Ulrich 2 2018 On the divergence constraint in mixed finite element methods for incompressible flows. Zbl 1426.76275John, Volker; Linke, Alexander; Merdon, Christian; Neilan, Michael; Rebholz, Leo G. 153 2017 A review of variational multiscale methods for the simulation of turbulent incompressible flows. Zbl 1360.76105Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele 39 2017 An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes. Zbl 1360.65275Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr 21 2017 Analysis of a full space-time discretization of the Navier-Stokes equations by a local projection stabilization method. Zbl 1407.76059Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele 18 2017 ParMooN – a modernized program package based on mapped finite elements. Zbl 1375.65158Wilbrandt, 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 13 2017 Isogeometric analysis for flows around a cylinder. Zbl 1346.76025Bulling, Jannis; John, Volker; Knobloch, Petr 2 2017 Towards physically admissible reduced-order solutions for convection-diffusion problems. Zbl 1377.65121Giere, Swetlana; John, Volker 1 2017 Finite element methods for incompressible flow problems. Zbl 1358.76003John, Volker 102 2016 Analysis of algebraic flux correction schemes. Zbl 1346.65048Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr 34 2016 Grad-div stabilization for the evolutionary Oseen problem with inf-sup stable finite elements. Zbl 1462.65138de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 24 2016 Projection methods for incompressible flow problems with WENO finite difference schemes. Zbl 1351.76200de Frutos, Javier; John, Volker; Novo, Julia 6 2016 SUPG reduced order models for convection-dominated convection-diffusion-reaction equations. Zbl 1425.65111Giere, Swetlana; Iliescu, Traian; John, Volker; Wells, David 22 2015 Analysis of the pressure stabilized Petrov-Galerkin method for the evolutionary Stokes equations avoiding time step restrictions. Zbl 1312.65162John, Volker; Novo, Julia 10 2015 Some analytical results for an algebraic flux correction scheme for a steady convection-diffusion equation in one dimension. Zbl 1332.65105Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr 10 2015 Adaptive time step control for higher order variational time discretizations applied to convection-diffusion-reaction equations. Zbl 1425.65106Ahmed, Naveed; John, Volker 9 2015 On the parameter choice in grad-div stabilization for the Stokes equations. Zbl 1426.76272Jenkins, Eleanor W.; John, Volker; Linke, Alexander; Rebholz, Leo G. 59 2014 A numerical investigation of velocity-pressure reduced order models for incompressible flows. Zbl 1349.76050Caiazzo, Alfonso; Iliescu, Traian; John, Volker; Schyschlowa, Swetlana 52 2014 On classical iterative subdomain methods for the Stokes-Darcy problem. Zbl 1392.76074Caiazzo, Alfonso; John, Volker; Wilbrandt, Ulrich 12 2014 An adaptive SUPG method for evolutionary convection-diffusion equations. Zbl 1296.76090de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 9 2014 A study of isogeometric analysis for scalar convection-diffusion equations. Zbl 1311.65146John, Volker; Schumacher, Liesel 2 2014 A robust SUPG norm a posteriori error estimator for stationary convection-diffusion equations. Zbl 1297.65157John, Volker; Novo, Julia 19 2013 A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations. Zbl 1303.65082Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr 11 2013 A nonlinear local projection stabilization for convection-diffusion-reaction equations. Zbl 1267.65174Barrenechea, G. R.; John, Volker; Knobloch, Petr 2 2013 Adaptive computation of parameters in stabilized methods for convection-diffusion problems. Zbl 1267.65181John, Volker; Knobloch, Petr 2 2013 On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. Zbl 1242.65164John, Volker; Novo, Julia 15 2012 A numerical method for the simulation of an aggregation-driven population balance system. Zbl 1253.76024Hackbusch, Wolfgang; John, Volker; Khachatryan, Aram; Suciu, Carina 1 2012 Error analysis of the SUPG finite element discretization of evolutionary convection-diffusion-reaction equations. Zbl 1233.65065John, Volker; Novo, Julia 48 2011 An assessment of discretizations for convection-dominated convection-diffusion equations. Zbl 1230.76021Augustin, Matthias; Caiazzo, Alfonso; Fiebach, André; Fuhrmann, Jürgen; John, Volker; Linke, Alexander; Umla, Rudolf 37 2011 A posteriori optimization of parameters in stabilized methods for convection-diffusion problems.I. Zbl 1230.76026John, Volker; Knobloch, Petr; Savescu, Simona B. 15 2011 Numerical studies of finite element variational multiscale methods for turbulent flow simulations. Zbl 1406.76029John, Volker; Kindl, Adela 34 2010 Adaptive time step control for the incompressible Navier-Stokes equations. Zbl 1227.76048John, Volker; Rang, Joachim 33 2010 A variational multiscale method for turbulent flow simulation with adaptive large scale space. Zbl 1375.76087John, Volker; Kindl, Adela 13 2010 On the impact of the scheme for solving the higher dimensional equation in coupled population balance systems. Zbl 1188.76236John, Volker; Roland, Michael 2 2010 Finite element LES and VMS methods on tetrahedral meshes. Zbl 1252.76042John, Volker; Kindl, Adela; Suciu, Carina 1 2010 On finite element methods for 3D time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1180.35050John, Volker; Schmeyer, Ellen 10 2009 Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1228.76088John, Volker; Schmeyer, Ellen 97 2008 Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030John, Volker; Kaya, Songul 41 2008 On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for \(P_{1}\) and \(Q_{1}\) finite elements. Zbl 1194.76122John, Volker; Knobloch, Petr 40 2008 Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity. Zbl 1154.76032John, V.; Kaya, S.; Kindl, A. 24 2008 Variants of projection-based finite element variational multiscale methods for the simulation of turbulent flows. Zbl 1161.76028John, Volker; Kindl, Adela 13 2008 Convergence of time-averaged statistics of finite element approximations of the Navier-Stokes equations. Zbl 1157.74029John, V.; Layton, W.; Manica, C. C. 3 2008 On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review. Zbl 1173.76342John, Volker; Knobloch, Petr 108 2007 Stabilized finite element methods for the generalized Oseen problem. Zbl 1120.76322Braack, M.; Burman, E.; John, V.; Lube, G. 102 2007 Simulations of the turbulent channel flow at \(Re_{\tau}=180\) with projections-based finite element variational multiscale methods. Zbl 1127.76026John, Volker; Roland, Michael 18 2007 On the performance of SOLD methods for convection-diffusion problems with interior layers. Zbl 1185.65212John, V.; Knobloch, P. 16 2007 Analysis of commutation errors for functions with low regularity. Zbl 1125.76032Berselli, Luigi C.; Grisanti, Carlo R.; John, Volker 8 2007 An inf-sup stable and residual-free bubble element for the Oseen equations. Zbl 1153.76040Franca, Leopoldo P.; John, Volker; Matthies, Gunar; Tobiska, Lutz 8 2007 A two-level variational multiscale method for convection-dominated convection-diffusion equations. Zbl 1124.76028John, Volker; Kaya, Songul; Layton, William 57 2006 A comparison of time-discretization/linearization approaches for the incompressible Navier-Stokes equations. Zbl 1124.76041John, Volker; Matthies, Gunar; Rang, Joachim 30 2006 Time-dependent flow across a step: the slip with friction boundary condition. Zbl 1086.76040John, Volker; Liakos, Anastasios 27 2006 On the efficiency of linearization schemes and coupled multigrid methods in the simulation of a 3D flow around a cylinder. Zbl 1086.76039John, Volker 19 2006 On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows. Zbl 1164.76348John, Volker 16 2006 Asymptotic behaviour of commutation errors and the divergence of the Reynolds stress tensor near the wall in the turbulent channel flow. Zbl 1370.76065Berselli, Luigi C.; John, Volker 7 2006 On discontinuity-capturing methods for convection-diffusion equations. Zbl 1119.65410John, Volker; Knobloch, Petr 5 2006 A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054John, Volker; Kaya, Songul 107 2005 An assessment of two models for the subgrid scale tensor in the rational LES model. Zbl 1107.76040John, Volker 13 2005 Pressure separation – a technique for improving the velocity error in finite element discretisations of the Navier-Stokes equations. Zbl 1125.76039Ganesan, Sashikumaar; John, Volker 10 2005 Reference values for drag and lift of a two-dimensional time-dependent flow around a cylinder. Zbl 1085.76510John, Volker 100 2004 MooNMD – a program package based on mapped finite element methods. Zbl 1061.65124John, Volker; Matthies, Gunnar 78 2004 Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Zbl 1035.76001John, Volker 51 2004 The commutation error of the space averaged Navier-Stokes equations on a bounded domain. Zbl 1096.35101Dunca, A.; John, V.; Layton, W. J. 22 2004 Finite element error analysis of space averaged flow fields defined by a differential filter. Zbl 1177.76193Dunca, Adrian; John, Volker 11 2004 Derivation and analysis of near wall models for channel and recirculating flows. Zbl 1059.76030John, V.; Layton, W.; Sahin, N. 9 2004 Approximating local averages of fluid velocities: the equilibrium Navier-Stokes equations. Zbl 1146.76605Dunca, Adrian; John, Volker; Layton, William 6 2004 A numerical study of a class of LES models. Zbl 1148.76327Iliescu, T.; John, V.; Layton, W. J.; Matthies, G.; Tobiska, L. 16 2003 Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier-Stokes equations. Zbl 1076.76544John, Volker 42 2002 Analysis of numerical errors in large eddy simulation. Zbl 1026.76028John, V.; Layton, W. J. 28 2002 Slip with friction and penetration with resistance boundary conditions for the Navier-Stokes equations – numerical tests and aspects of the implementation. Zbl 1021.76028John, Volker 26 2002 Non-nested multi-level solvers for finite element discretisations of mixed problems. Zbl 1006.65137John, V.; Knobloch, P.; Matthies, G.; Tobiska, L. 15 2002 Convergence of finite element approximations of large eddy motion. Zbl 1021.76019Iliescu, Traian; John, Volker; Layton, William J. 8 2002 Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Zbl 1138.76003John, Volker 2 2002 Higher-order finite element discretizations in a benchmark problem for incompressible flows. Zbl 1007.76040John, Volker; Matthies, Gunar 51 2001 Residual a posteriori error estimates for two-level finite element methods for the Navier-Stokes equations. Zbl 0987.76053John, Volker 16 2001 Approximating local averages of fluid velocities: The Stokes problem. Zbl 0991.76043John, V.; Layton, W. J. 6 2001 A numerical study of a posteriori error estimators for convection-diffusion equations. Zbl 0973.76049John, Volker 45 2000 Numerical performance of smoothers in coupled multigrid methods for the parallel solution of the incompressible Navier-Stokes equations. Zbl 0979.76047John, Volker; Tobiska, Lutz 24 2000 A coupled multigrid method for nonconforming finite element discretizations of the 2D-Stokes equation. Zbl 0963.65126John, V.; Tobiska, L. 4 2000 A comparison of three solvers for the incompressible Navier-Stokes equations. Zbl 0985.76053John, V.; Matthies, G.; Mitkova, T. I.; Tobiska, L.; Vassilevski, P. S. 1 2000 A comparison of parallel solvers for the incompressible Navier-Stokes equations. Zbl 1015.76072John, V. 10 1999 A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems. Zbl 0942.76041John, V.; Matthies, G.; Schieweck, F.; Tobiska, L. 24 1998 A posteriori \(L^2\)-error estimates for the nonconforming \(P_1/P_0\)-finite element discretization of the Stokes equations. Zbl 0930.65123John, Volker 5 1998 On the parallel performance of coupled multigrid methods for the solution of the incompressible Navier-Stokes equations. Zbl 0923.76123John, Volker 1 1998 Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems. Zbl 0898.65068John, V.; Maubach, J. M.; Tobiska, L. 32 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 0908.76054John, Volker 3 1997 Parallel finite element methods for the incompressible Navier-Stokes equations. Zbl 0876.76039Dorok, O.; John, V.; Risch, U.; Schieweck, F.; Tobiska, L. 5 1996 all cited Publications top 5 cited Publications all top 5 Cited by 1,616 Authors 71 John, Volker 54 Rebholz, Leo G. 30 Linke, Alexander 27 Kuzmin, Dmitri 27 Matthies, Gunar 24 Knobloch, Petr 24 Novo, Julia 23 Layton, William J. 22 Rozza, Gianluigi 22 Wall, Wolfgang A. 21 Iliescu, Traian 21 Shang, Yueqiang 20 Gravemeier, Volker 19 Tobiska, Lutz 18 Kaya, Songul 17 Ahmed, Naveed 16 Ganesan, Sashikumaar 16 He, Yinnian 16 Merdon, Christian 16 Neda, Monika 15 Rubino, Samuele 14 Barrenechea, Gabriel R. 14 Burman, Erik 14 Feng, Minfu 14 García-Archilla, Bosco 14 Hou, Yanren 14 Lube, Gert 13 Chacón Rebollo, Tomás 13 Olshanskii, Maxim A. 12 Rhebergen, Sander 12 Stabile, Giovanni 10 de Frutos, Javier 10 Dunca, Argus Adrian 10 Manica, Carolina Cardoso 10 Neilan, Michael 10 Turek, Stefan 10 Zheng, Haibiao 9 Çibik, Aytekin Bayram 8 Araya, Rodolfo A. 8 Badia, Santiago 8 Beirão da Veiga, Lourenço 8 Lederer, Philip Lukas 7 Berselli, Luigi Carlo 7 Coutinho, Alvaro L. G. A. 7 Feng, Xinlong 7 Gómez Mármol, Macarena 7 Hauke, Guillermo 7 Lehrenfeld, Christoph 7 Rang, Joachim 7 Schieweck, Friedhelm 7 Schroeder, Philipp W. 7 Shi, Dongyang 7 Vacca, Giuseppe 6 Allendes, Alejandro 6 Ballarin, Francesco 6 Braack, Malte 6 Caiazzo, Alfonso 6 Chen, Gang 6 Codina, Ramon 6 Gunzburger, Max D. 6 Guzmán, Johnny 6 Huang, Pengzhan 6 MacLachlan, Scott P. 6 Schneier, Michael 6 Schöberl, Joachim 6 Trenchea, Catalin 6 Wang, Zhu 6 Wells, Garth N. 6 Wilbrandt, Ulrich 6 Zhang, Tong 5 Adler, James H. 5 Akbas, Mine 5 Bause, Markus 5 Chen, Shaochun 5 Dassi, Franco 5 DeCaria, Victor P. 5 Doweidar, Mohamed Hamdy 5 Eroglu, Fatma G. 5 Fu, Guosheng 5 Fuhrmann, Jürgen 5 Heister, Timo 5 Jiang, Nan 5 Kindl, Adela 5 Kronbichler, Martin 5 Mei, Liquan 5 Poza, Abner H. 5 Rodrigo, Carmen 5 Saavedra, Laura 5 Scott, Larkin Ridgway 5 Shadid, John N. 5 Valentin, Frédéric 5 Xiao, Mengying 5 Zhang, Shangyou 4 Arndt, Daniel 4 Avijit, D. 4 Becker, Roland 4 Bermejo, Rodolfo 4 Bowers, Abigail L. 4 Camata, Jose J. 4 Chen, Xi ...and 1,516 more Authors all top 5 Cited in 142 Serials 190 Computer Methods in Applied Mechanics and Engineering 103 Journal of Computational Physics 67 Computers & Mathematics with Applications 67 Journal of Scientific Computing 57 Journal of Computational and Applied Mathematics 47 Computers and Fluids 39 Applied Mathematics and Computation 39 Applied Numerical Mathematics 34 SIAM Journal on Numerical Analysis 34 SIAM Journal on Scientific Computing 24 International Journal for Numerical Methods in Fluids 24 Numerical Methods for Partial Differential Equations 21 Advances in Computational Mathematics 18 Journal of Mathematical Analysis and Applications 18 Mathematics of Computation 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Numerische Mathematik 11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 Computational Methods in Applied Mathematics 11 Advances in Applied Mathematics and Mechanics 10 Applied Mathematical Modelling 10 International Journal of Computer Mathematics 10 Journal of Numerical Mathematics 9 Applied Mathematics Letters 9 Numerical Algorithms 8 BIT 8 Calcolo 8 Computational and Applied Mathematics 8 Engineering Analysis with Boundary Elements 8 Journal of Mathematical Fluid Mechanics 7 Mathematical Methods in the Applied Sciences 7 International Journal for Numerical Methods in Engineering 7 Computational Mechanics 6 Applied Mathematics and Mechanics. (English Edition) 6 International Journal of Computational Fluid Dynamics 6 International Journal of Computational Methods 5 Mathematics and Computers in Simulation 5 Mathematical Problems in Engineering 5 Computational Geosciences 5 Archives of Computational Methods in Engineering 5 International Journal of Numerical Analysis and Modeling 4 Computing 4 Mathematical and Computer Modelling 4 Applications of Mathematics 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Applied Mathematics and Computing 4 International Journal of Advances in Engineering Sciences and Applied Mathematics 4 S\(\vec{\text{e}}\)MA Journal 4 SMAI Journal of Computational Mathematics 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 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 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 Physica D 2 Cybernetics and Systems Analysis 2 Computational Optimization and Applications 2 Physics of Fluids 2 Vietnam Journal of Mathematics 2 Nonlinear Analysis. Real World Applications 2 Advances in Difference Equations 2 GEM - International Journal on Geomathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Electronic Research Archive 2 Results in Applied Mathematics 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Journal of Statistical Physics 1 Mathematische Semesterberichte 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 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 Mathematica Numerica Sinica 1 Journal of Computational Mathematics 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 ...and 42 more Serials all top 5 Cited in 32 Fields 900 Numerical analysis (65-XX) 884 Fluid mechanics (76-XX) 377 Partial differential equations (35-XX) 55 Mechanics of deformable solids (74-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 20 Biology and other natural sciences (92-XX) 17 Classical thermodynamics, heat transfer (80-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Geophysics (86-XX) 11 Ordinary differential equations (34-XX) 8 Optics, electromagnetic theory (78-XX) 7 Approximations and expansions (41-XX) 6 Probability theory and stochastic processes (60-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Computer science (68-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year