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: 105 Publications since 1996, including 4 Books 2 Contributions as Editor Reviewing Activity: 38 Reviews Co-Authors: 76 Co-Authors with 91 Joint Publications 1,090 Co-Co-Authors all top 5 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-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 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 Applied Mathematics Letters 4 Computers & Mathematics with Applications 4 IMA Journal of Numerical Analysis 4 Journal of Computational Physics 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 all top 5 Fields 75 Fluid mechanics (76-XX) 68 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 2,129 times in 1,069 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. 120 2017 On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review. Zbl 1173.76342John, Volker; Knobloch, Petr 104 2007 A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054John, Volker; Kaya, Songul 103 2005 Stabilized finite element methods for the generalized Oseen problem. Zbl 1120.76322Braack, M.; Burman, E.; John, V.; Lube, G. 98 2007 Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1228.76088John, Volker; Schmeyer, Ellen 90 2008 Reference values for drag and lift of a two-dimensional time-dependent flow around a cylinder. Zbl 1085.76510John, Volker 88 2004 Finite element methods for incompressible flow problems. Zbl 1358.76003John, Volker 81 2016 MooNMD – a program package based on mapped finite element methods. Zbl 1061.65124John, Volker; Matthies, Gunnar 76 2004 A two-level variational multiscale method for convection-dominated convection-diffusion equations. Zbl 1124.76028John, Volker; Kaya, Songul; Layton, William 55 2006 On the parameter choice in grad-div stabilization for the Stokes equations. Zbl 1426.76272Jenkins, Eleanor W.; John, Volker; Linke, Alexander; Rebholz, Leo G. 49 2014 Higher-order finite element discretizations in a benchmark problem for incompressible flows. Zbl 1007.76040John, Volker; Matthies, Gunar 49 2001 Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Zbl 1035.76001John, Volker 48 2004 A numerical study of a posteriori error estimators for convection-diffusion equations. Zbl 0973.76049John, Volker 45 2000 A numerical investigation of velocity-pressure reduced order models for incompressible flows. Zbl 1349.76050Caiazzo, Alfonso; Iliescu, Traian; John, Volker; Schyschlowa, Swetlana 42 2014 Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier-Stokes equations. Zbl 1076.76544John, Volker 41 2002 Error analysis of the SUPG finite element discretization of evolutionary convection-diffusion-reaction equations. Zbl 1233.65065John, Volker; Novo, Julia 41 2011 Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030John, Volker; Kaya, Songul 40 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 38 2008 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 34 2011 Numerical studies of finite element variational multiscale methods for turbulent flow simulations. Zbl 1406.76029John, Volker; Kindl, Adela 33 2010 A review of variational multiscale methods for the simulation of turbulent incompressible flows. Zbl 1360.76105Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele 31 2017 Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems. Zbl 0898.65068John, V.; Maubach, J. M.; Tobiska, L. 31 1997 Adaptive time step control for the incompressible Navier-Stokes equations. Zbl 1227.76048John, Volker; Rang, Joachim 31 2010 Analysis of algebraic flux correction schemes. Zbl 1346.65048Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr 29 2016 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 25 2006 A comparison of time-discretization/linearization approaches for the incompressible Navier-Stokes equations. Zbl 1124.76041John, Volker; Matthies, Gunar; Rang, Joachim 25 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 24 2002 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 24 2018 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 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 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 23 2016 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 Numerical performance of smoothers in coupled multigrid methods for the parallel solution of the incompressible Navier-Stokes equations. Zbl 0979.76047John, Volker; Tobiska, Lutz 21 2000 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 19 2017 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 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 unified analysis of algebraic flux correction schemes for convection-diffusion equations. Zbl 1422.65368Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr; Rankin, Richard 16 2018 Non-nested multi-level solvers for finite element discretisations of mixed problems. Zbl 1006.65137John, V.; Knobloch, P.; Matthies, G.; Tobiska, L. 15 2002 A posteriori optimization of parameters in stabilized methods for convection-diffusion problems.I. Zbl 1230.76026John, Volker; Knobloch, Petr; Savescu, Simona B. 15 2011 Residual a posteriori error estimates for two-level finite element methods for the Navier-Stokes equations. Zbl 0987.76053John, Volker 15 2001 On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows. Zbl 1164.76348John, Volker 15 2006 On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. Zbl 1242.65164John, Volker; Novo, Julia 15 2012 A variational multiscale method for turbulent flow simulation with adaptive large scale space. Zbl 1375.76087John, Volker; Kindl, Adela 13 2010 Variants of projection-based finite element variational multiscale methods for the simulation of turbulent flows. Zbl 1161.76028John, Volker; Kindl, Adela 13 2008 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 13 2017 SUPG reduced order models for convection-dominated convection-diffusion-reaction equations. Zbl 1425.65111Giere, Swetlana; Iliescu, Traian; John, Volker; Wells, David 13 2015 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 12 2017 An assessment of two models for the subgrid scale tensor in the rational LES model. Zbl 1107.76040John, Volker 12 2005 Finite element error analysis of space averaged flow fields defined by a differential filter. Zbl 1177.76193Dunca, Adrian; John, Volker 11 2004 On classical iterative subdomain methods for the Stokes-Darcy problem. Zbl 1392.76074Caiazzo, Alfonso; John, Volker; Wilbrandt, Ulrich 11 2014 A comparison of parallel solvers for the incompressible Navier-Stokes equations. Zbl 1015.76072John, V. 10 1999 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 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 9 2015 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 9 2013 Derivation and analysis of near wall models for channel and recirculating flows. Zbl 1059.76030John, V.; Layton, W.; Sahin, N. 9 2004 On finite element methods for 3D time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1180.35050John, Volker; Schmeyer, Ellen 9 2009 Convergence of finite element approximations of large eddy motion. Zbl 1021.76019Iliescu, Traian; John, Volker; Layton, William J. 8 2002 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 An adaptive SUPG method for evolutionary convection-diffusion equations. Zbl 1296.76090de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 8 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 8 2019 Analysis of the pressure stabilized Petrov-Galerkin method for the evolutionary Stokes equations avoiding time step restrictions. Zbl 1312.65162John, Volker; Novo, Julia 7 2015 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 Error analysis of non inf-sup stable discretizations of the time-dependent Navier-Stokes equations with local projection stabilization. Zbl 07130807de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 7 2019 Adaptive time step control for higher order variational time discretizations applied to convection-diffusion-reaction equations. Zbl 1425.65106Ahmed, Naveed; John, Volker 7 2015 Projection methods for incompressible flow problems with WENO finite difference schemes. Zbl 1351.76200de Frutos, Javier; John, Volker; Novo, Julia 6 2016 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 Parallel finite element methods for the incompressible Navier-Stokes equations. Zbl 0876.76039Dorok, O.; John, V.; Risch, U.; Schieweck, F.; Tobiska, L. 5 1996 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 discontinuity-capturing methods for convection-diffusion equations. Zbl 1119.65410John, Volker; Knobloch, Petr 5 2006 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 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 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 A study of solvers for nonlinear AFC discretizations of convection-diffusion equations. Zbl 1443.65343Jha, Abhinav; John, Volker 3 2019 Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Zbl 1138.76003John, Volker 2 2002 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 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 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 convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows. Zbl 07415678García-Archilla, Bosco; John, Volker; Novo, Julia 1 2021 On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection-diffusion equations. Zbl 1468.65188Frerichs, Derk; John, Volker 1 2021 Isogeometric analysis for flows around a cylinder. Zbl 1346.76025Bulling, Jannis; John, Volker; Knobloch, Petr 1 2017 On the parallel performance of coupled multigrid methods for the solution of the incompressible Navier-Stokes equations. Zbl 0923.76123John, Volker 1 1998 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 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 Finite element LES and VMS methods on tetrahedral meshes. Zbl 1252.76042John, Volker; Kindl, Adela; Suciu, Carina 1 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 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 07415678García-Archilla, Bosco; John, Volker; Novo, Julia 1 2021 On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection-diffusion equations. Zbl 1468.65188Frerichs, Derk; John, Volker 1 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 8 2019 Error analysis of non inf-sup stable discretizations of the time-dependent Navier-Stokes equations with local projection stabilization. Zbl 07130807de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 7 2019 A study of solvers for nonlinear AFC discretizations of convection-diffusion equations. Zbl 1443.65343Jha, Abhinav; John, Volker 3 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 24 2018 A unified analysis of algebraic flux correction schemes for convection-diffusion equations. Zbl 1422.65368Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr; Rankin, Richard 16 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. 120 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 31 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 19 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 13 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 12 2017 Isogeometric analysis for flows around a cylinder. Zbl 1346.76025Bulling, Jannis; John, Volker; Knobloch, Petr 1 2017 Finite element methods for incompressible flow problems. Zbl 1358.76003John, Volker 81 2016 Analysis of algebraic flux correction schemes. Zbl 1346.65048Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr 29 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 23 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 13 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 9 2015 Analysis of the pressure stabilized Petrov-Galerkin method for the evolutionary Stokes equations avoiding time step restrictions. Zbl 1312.65162John, Volker; Novo, Julia 7 2015 Adaptive time step control for higher order variational time discretizations applied to convection-diffusion-reaction equations. Zbl 1425.65106Ahmed, Naveed; John, Volker 7 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. 49 2014 A numerical investigation of velocity-pressure reduced order models for incompressible flows. Zbl 1349.76050Caiazzo, Alfonso; Iliescu, Traian; John, Volker; Schyschlowa, Swetlana 42 2014 On classical iterative subdomain methods for the Stokes-Darcy problem. Zbl 1392.76074Caiazzo, Alfonso; John, Volker; Wilbrandt, Ulrich 11 2014 An adaptive SUPG method for evolutionary convection-diffusion equations. Zbl 1296.76090de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 8 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 9 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 41 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 34 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 33 2010 Adaptive time step control for the incompressible Navier-Stokes equations. Zbl 1227.76048John, Volker; Rang, Joachim 31 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 9 2009 Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1228.76088John, Volker; Schmeyer, Ellen 90 2008 Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030John, Volker; Kaya, Songul 40 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 38 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 104 2007 Stabilized finite element methods for the generalized Oseen problem. Zbl 1120.76322Braack, M.; Burman, E.; John, V.; Lube, G. 98 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 55 2006 Time-dependent flow across a step: the slip with friction boundary condition. Zbl 1086.76040John, Volker; Liakos, Anastasios 25 2006 A comparison of time-discretization/linearization approaches for the incompressible Navier-Stokes equations. Zbl 1124.76041John, Volker; Matthies, Gunar; Rang, Joachim 25 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 15 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 103 2005 An assessment of two models for the subgrid scale tensor in the rational LES model. Zbl 1107.76040John, Volker 12 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 88 2004 MooNMD – a program package based on mapped finite element methods. Zbl 1061.65124John, Volker; Matthies, Gunnar 76 2004 Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Zbl 1035.76001John, Volker 48 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 41 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 24 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 49 2001 Residual a posteriori error estimates for two-level finite element methods for the Navier-Stokes equations. Zbl 0987.76053John, Volker 15 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 21 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. 31 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 1,423 Authors 69 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. 20 Rozza, Gianluigi 19 Gravemeier, Volker 19 Shang, Yueqiang 19 Tobiska, Lutz 18 Iliescu, Traian 17 Ahmed, Naveed 17 Kaya, Songul 16 Ganesan, Sashikumaar 16 He, Yinnian 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 Çibik, Aytekin Bayram 8 Rhebergen, Sander 7 Beirão da Veiga, Lourenço 7 Berselli, Luigi Carlo 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 Ballarin, Francesco 6 Chen, Gang 6 Codina, Ramon 6 Coutinho, Alvaro L. G. A. 6 Gunzburger, Max D. 6 Huang, Pengzhan 6 Schneier, Michael 6 Schöberl, Joachim 6 Vacca, Giuseppe 5 Akbas, Mine 5 Caiazzo, Alfonso 5 Chen, Shaochun 5 Dassi, Franco 5 DeCaria, Victor P. 5 Doweidar, Mohamed Hamdy 5 Eroglu, Fatma G. 5 Fuhrmann, Jürgen 5 Guzmán, Johnny 5 Heister, Timo 5 Kindl, Adela 5 Kronbichler, Martin 5 Mei, Liquan 5 Natesan, Srinivasan 5 Poza, Abner H. 5 Rodrigo, Carmen 5 Saavedra, Laura 5 Shadid, John N. 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 De Luna, Manuel Quezada 4 Ern, Alexandre 4 Fu, Guosheng 4 Gaspar, Francisco José 4 Hoffman, Johan ...and 1,323 more Authors all top 5 Cited in 130 Serials 178 Computer Methods in Applied Mechanics and Engineering 80 Journal of Computational Physics 57 Journal of Scientific Computing 55 Computers & Mathematics with Applications 52 Journal of Computational and Applied Mathematics 43 Computers and Fluids 39 Applied Numerical Mathematics 38 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 Mathematics Letters 9 Applied Mathematical Modelling 9 International Journal of Computer Mathematics 9 Journal of Numerical Mathematics 8 Calcolo 8 Numerical Algorithms 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 Journal of Applied Mathematics and Computing 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 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 Filomat 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Difference Equations and Applications 1 Journal of Mathematical Chemistry ...and 30 more Serials all top 5 Cited in 28 Fields 794 Numerical analysis (65-XX) 781 Fluid mechanics (76-XX) 321 Partial differential equations (35-XX) 55 Mechanics of deformable solids (74-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 22 Biology and other natural sciences (92-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 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-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) Citations by Year