Edit Profile John, Volker Compute Distance To: Compute Author ID: john.volker Published as: John; John, V.; John, Volker External Links: MGP Documents Indexed: 104 Publications since 1996, including 4 Books Reviewing Activity: 38 Reviews all top 5 Co-Authors 16 single-authored 17 Knobloch, Petr 11 Novo, Julia 10 Matthies, Gunar 9 Layton, William J. 9 Tobiska, Lutz 7 Ahmed, Naveed 6 Barrenechea, Gabriel R. 5 de Frutos, Javier 5 Kaya, Songul 5 Kindl, Adela 4 Caiazzo, Alfonso 4 García-Archilla, Bosco 4 Iliescu, Traian 3 Chacón Rebollo, Tomás 3 Dunca, Adrian 3 Giere, Swetlana 3 Linke, Alexander 3 Lube, Gert 3 Roland, Michael 3 Wilbrandt, Ulrich 2 Alia, Najib 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 Şahin, Neslihan 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 18 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 Journal of Computational Physics 4 Applied Mathematics Letters 3 IMA Journal of Numerical Analysis 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 all top 5 Fields 72 Fluid mechanics (76-XX) 63 Numerical analysis (65-XX) 26 Partial differential equations (35-XX) 3 General and overarching topics; collections (00-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 1,855 times in 917 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. 96 2017 A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054John, Volker; Kaya, Songul 95 2005 On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review. Zbl 1173.76342John, Volker; Knobloch, Petr 92 2007 Stabilized finite element methods for the generalized Oseen problem. Zbl 1120.76322Braack, M.; Burman, E.; John, V.; Lube, G. 84 2007 Reference values for drag and lift of a two-dimensional time-dependent flow around a cylinder. Zbl 1085.76510John, Volker 77 2004 Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1228.76088John, Volker; Schmeyer, Ellen 76 2008 MooNMD – a program package based on mapped finite element methods. Zbl 1061.65124John, Volker; Matthies, Gunnar 72 2004 Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Zbl 1035.76001John, Volker 58 2004 A two-level variational multiscale method for convection-dominated convection-diffusion equations. Zbl 1124.76028John, Volker; Kaya, Songul; Layton, William 52 2006 Finite element methods for incompressible flow problems. Zbl 1358.76003John, Volker 48 2016 On the parameter choice in grad-div stabilization for the Stokes equations. Zbl 1426.76272Jenkins, Eleanor W.; John, Volker; Linke, Alexander; Rebholz, Leo G. 47 2014 Higher-order finite element discretizations in a benchmark problem for incompressible flows. Zbl 1007.76040John, Volker; Matthies, Gunar 47 2001 A numerical study of a posteriori error estimators for convection-diffusion equations. Zbl 0973.76049John, Volker 42 2000 A numerical investigation of velocity-pressure reduced order models for incompressible flows. Zbl 1349.76050Caiazzo, Alfonso; Iliescu, Traian; John, Volker; Schyschlowa, Swetlana 38 2014 Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier-Stokes equations. Zbl 1076.76544John, Volker 37 2002 On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for \(P_{1}\) and \(Q_{1}\) finite elements. Zbl 1194.76122John, Volker; Knobloch, Petr 35 2008 Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030John, Volker; Kaya, Songul 34 2008 Numerical studies of finite element variational multiscale methods for turbulent flow simulations. Zbl 1406.76029John, Volker; Kindl, Adela 33 2010 Error analysis of the SUPG finite element discretization of evolutionary convection-diffusion-reaction equations. Zbl 1233.65065John, Volker; Novo, Julia 31 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 30 2011 Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems. Zbl 0898.65068John, V.; Maubach, J. M.; Tobiska, L. 30 1997 Adaptive time step control for the incompressible Navier-Stokes equations. Zbl 1227.76048John, Volker; Rang, Joachim 25 2010 The commutation error of the space averaged Navier-Stokes equations on a bounded domain. Zbl 1096.35101Dunca, A.; John, V.; Layton, W. J. 25 2004 A comparison of time-discretization/linearization approaches for the incompressible Navier-Stokes equations. Zbl 1124.76041John, Volker; Matthies, Gunar; Rang, Joachim 24 2006 Analysis of numerical errors in large eddy simulation. Zbl 1026.76028John, V.; Layton, W. J. 24 2002 A review of variational multiscale methods for the simulation of turbulent incompressible flows. Zbl 1360.76105Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele 22 2017 Analysis of algebraic flux correction schemes. Zbl 1346.65048Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr 22 2016 Time-dependent flow across a step: the slip with friction boundary condition. Zbl 1086.76040John, Volker; Liakos, Anastasios 22 2006 Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity. Zbl 1154.76032John, V.; Kaya, S.; Kindl, A. 21 2008 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 21 2002 A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems. Zbl 0942.76041John, V.; Matthies, G.; Schieweck, F.; Tobiska, L. 21 1998 Grad-div stabilization for the evolutionary Oseen problem with inf-sup stable finite elements. Zbl 06760781de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 20 2016 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 18 2018 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 Numerical performance of smoothers in coupled multigrid methods for the parallel solution of the incompressible Navier-Stokes equations. Zbl 0979.76047John, Volker; Tobiska, Lutz 17 2000 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. 15 2007 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. 14 2011 On the efficiency of linearization schemes and coupled multigrid methods in the simulation of a 3D flow around a cylinder. Zbl 1086.76039John, Volker 14 2006 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 13 2017 A robust SUPG norm a posteriori error estimator for stationary convection-diffusion equations. Zbl 1297.65157John, Volker; Novo, Julia 13 2013 Variants of projection-based finite element variational multiscale methods for the simulation of turbulent flows. Zbl 1161.76028John, Volker; Kindl, Adela 13 2008 Residual a posteriori error estimates for two-level finite element methods for the Navier-Stokes equations. Zbl 0987.76053John, Volker 13 2001 On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. Zbl 1242.65164John, Volker; Novo, Julia 12 2012 A variational multiscale method for turbulent flow simulation with adaptive large scale space. Zbl 1375.76087John, Volker; Kindl, Adela 12 2010 An assessment of two models for the subgrid scale tensor in the rational LES model. Zbl 1107.76040John, Volker 12 2005 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 11 2017 On classical iterative subdomain methods for the Stokes-Darcy problem. Zbl 1392.76074Caiazzo, Alfonso; John, Volker; Wilbrandt, Ulrich 11 2014 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 Finite element error analysis of space averaged flow fields defined by a differential filter. Zbl 1177.76193Dunca, Adrian; John, Volker 10 2004 Derivation and analysis of near wall models for channel and recirculating flows. Zbl 1059.76030John, V.; Layton, W.; Sahin, N. 10 2004 A comparison of parallel solvers for the incompressible Navier-Stokes equations. Zbl 1015.76072John, V. 10 1999 A unified analysis of algebraic flux correction schemes for convection-diffusion equations. Zbl 1422.65368Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr; Rankin, Richard 9 2018 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 8 2017 SUPG reduced order models for convection-dominated convection-diffusion-reaction equations. Zbl 1425.65111Giere, Swetlana; Iliescu, Traian; John, Volker; Wells, David 8 2015 On finite element methods for 3D time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1180.35050John, Volker; Schmeyer, Ellen 8 2009 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 A posteriori \(L^2\)-error estimates for the nonconforming \(P_1/P_0\)-finite element discretization of the Stokes equations. Zbl 0930.65123John, Volker 8 1998 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 7 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 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 An adaptive SUPG method for evolutionary convection-diffusion equations. Zbl 1296.76090de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 6 2014 An inf-sup stable and residual-free bubble element for the Oseen equations. Zbl 1153.76040Franca, Leopoldo P.; John, Volker; Matthies, Gunar; Tobiska, Lutz 6 2007 Approximating local averages of fluid velocities: the equilibrium Navier-Stokes equations. Zbl 1146.76605Dunca, Adrian; John, Volker; Layton, William 6 2004 Approximating local averages of fluid velocities: The Stokes problem. Zbl 0991.76043John, V.; Layton, W. J. 6 2001 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 5 2019 Projection methods for incompressible flow problems with WENO finite difference schemes. Zbl 1351.76200de Frutos, Javier; John, Volker; Novo, Julia 5 2016 Adaptive time step control for higher order variational time discretizations applied to convection-diffusion-reaction equations. Zbl 1425.65106Ahmed, Naveed; John, Volker 5 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 5 2013 On discontinuity-capturing methods for convection-diffusion equations. Zbl 1119.65410John, Volker; Knobloch, Petr 5 2006 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 coupled multigrid method for nonconforming finite element discretizations of the 2D-Stokes equation. Zbl 0963.65126John, V.; Tobiska, L. 4 2000 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 3 2019 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. Zbl 0908.76054John, Volker 3 1997 Adaptive computation of parameters in stabilized methods for convection-diffusion problems. Zbl 1267.65181John, Volker; Knobloch, Petr 2 2013 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 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 two classes of variational multiscale methods for the simulation of incompressible turbulent flows. Zbl 1442.76034Ahmed, Naveed; John, Volker 1 2020 A study of solvers for nonlinear AFC discretizations of convection-diffusion equations. Zbl 1443.65343Jha, Abhinav; John, Volker 1 2019 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 1 2018 Isogeometric analysis for flows around a cylinder. Zbl 1346.76025Bulling, Jannis; John, Volker; Knobloch, Petr 1 2017 A study of isogeometric analysis for scalar convection-diffusion equations. Zbl 1311.65146John, Volker; Schumacher, Liesel 1 2014 A nonlinear local projection stabilization for convection-diffusion-reaction equations. Zbl 1267.65174Barrenechea, G. R.; John, Volker; Knobloch, Petr 1 2013 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 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 On the parallel performance of coupled multigrid methods for the solution of the incompressible Navier-Stokes equations. Zbl 0923.76123John, Volker 1 1998 An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows. Zbl 1442.76034Ahmed, Naveed; John, Volker 1 2020 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 5 2019 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 3 2019 A study of solvers for nonlinear AFC discretizations of convection-diffusion equations. Zbl 1443.65343Jha, Abhinav; John, Volker 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 18 2018 A unified analysis of algebraic flux correction schemes for convection-diffusion equations. Zbl 1422.65368Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr; Rankin, Richard 9 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 1 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. 96 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 22 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 13 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 11 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 8 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 48 2016 Analysis of algebraic flux correction schemes. Zbl 1346.65048Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr 22 2016 Grad-div stabilization for the evolutionary Oseen problem with inf-sup stable finite elements. Zbl 06760781de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 20 2016 Projection methods for incompressible flow problems with WENO finite difference schemes. Zbl 1351.76200de Frutos, Javier; John, Volker; Novo, Julia 5 2016 SUPG reduced order models for convection-dominated convection-diffusion-reaction equations. Zbl 1425.65111Giere, Swetlana; Iliescu, Traian; John, Volker; Wells, David 8 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 7 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 5 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. 47 2014 A numerical investigation of velocity-pressure reduced order models for incompressible flows. Zbl 1349.76050Caiazzo, Alfonso; Iliescu, Traian; John, Volker; Schyschlowa, Swetlana 38 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 6 2014 A study of isogeometric analysis for scalar convection-diffusion equations. Zbl 1311.65146John, Volker; Schumacher, Liesel 1 2014 A robust SUPG norm a posteriori error estimator for stationary convection-diffusion equations. Zbl 1297.65157John, Volker; Novo, Julia 13 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 5 2013 Adaptive computation of parameters in stabilized methods for convection-diffusion problems. Zbl 1267.65181John, Volker; Knobloch, Petr 2 2013 A nonlinear local projection stabilization for convection-diffusion-reaction equations. Zbl 1267.65174Barrenechea, G. R.; John, Volker; Knobloch, Petr 1 2013 On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. Zbl 1242.65164John, Volker; Novo, Julia 12 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 31 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 30 2011 A posteriori optimization of parameters in stabilized methods for convection-diffusion problems.I. Zbl 1230.76026John, Volker; Knobloch, Petr; Savescu, Simona B. 14 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 25 2010 A variational multiscale method for turbulent flow simulation with adaptive large scale space. Zbl 1375.76087John, Volker; Kindl, Adela 12 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 8 2009 Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion. Zbl 1228.76088John, Volker; Schmeyer, Ellen 76 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 35 2008 Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030John, Volker; Kaya, Songul 34 2008 Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity. Zbl 1154.76032John, V.; Kaya, S.; Kindl, A. 21 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 92 2007 Stabilized finite element methods for the generalized Oseen problem. Zbl 1120.76322Braack, M.; Burman, E.; John, V.; Lube, G. 84 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. 15 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 6 2007 A two-level variational multiscale method for convection-dominated convection-diffusion equations. Zbl 1124.76028John, Volker; Kaya, Songul; Layton, William 52 2006 A comparison of time-discretization/linearization approaches for the incompressible Navier-Stokes equations. Zbl 1124.76041John, Volker; Matthies, Gunar; Rang, Joachim 24 2006 Time-dependent flow across a step: the slip with friction boundary condition. Zbl 1086.76040John, Volker; Liakos, Anastasios 22 2006 On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows. Zbl 1164.76348John, Volker 16 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 14 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 95 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 77 2004 MooNMD – a program package based on mapped finite element methods. Zbl 1061.65124John, Volker; Matthies, Gunnar 72 2004 Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models. Zbl 1035.76001John, Volker 58 2004 The commutation error of the space averaged Navier-Stokes equations on a bounded domain. Zbl 1096.35101Dunca, A.; John, V.; Layton, W. J. 25 2004 Finite element error analysis of space averaged flow fields defined by a differential filter. Zbl 1177.76193Dunca, Adrian; John, Volker 10 2004 Derivation and analysis of near wall models for channel and recirculating flows. Zbl 1059.76030John, V.; Layton, W.; Sahin, N. 10 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 37 2002 Analysis of numerical errors in large eddy simulation. Zbl 1026.76028John, V.; Layton, W. J. 24 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 21 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 47 2001 Residual a posteriori error estimates for two-level finite element methods for the Navier-Stokes equations. Zbl 0987.76053John, Volker 13 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 42 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 17 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. 21 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 8 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. 30 1997 Parallel solution of the incompressible Navier-Stokes equations on adaptively refined grids. 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 1,274 Authors 68 John, Volker 52 Rebholz, Leo G. 29 Linke, Alexander 26 Matthies, Gunar 25 Layton, William J. 24 Kuzmin, Dmitri 22 Knobloch, Petr 20 Wall, Wolfgang A. 19 Gravemeier, Volker 19 Novo, Julia 19 Tobiska, Lutz 17 Iliescu, Traian 16 Ahmed, Naveed 16 Neda, Monika 16 Rozza, Gianluigi 15 Kaya, Songul 15 Lube, Gert 14 Ganesan, Sashikumaar 14 Merdon, Christian 14 Shang, Yueqiang 12 Barrenechea, Gabriel R. 12 Hou, Yanren 11 García-Archilla, Bosco 10 Burman, Erik 10 Chacón Rebollo, Tomás 10 de Frutos, Javier 10 He, Yinnian 10 Manica, Carolina Cardoso 10 Olshanskii, Maxim A. 10 Rubino, Samuele 9 Dunca, Argus Adrian 9 Stabile, Giovanni 9 Turek, Stefan 9 Zheng, Haibiao 8 Araya, Rodolfo A. 8 Badia, Santiago 8 Feng, Minfu 7 Gómez Mármol, Macarena 7 Hauke, Guillermo 7 Lederer, Philip Lukas 7 Lehrenfeld, Christoph 7 Neilan, Michael 7 Rang, Joachim 7 Schieweck, Friedhelm 7 Schroeder, Philipp W. 6 Akbas, Mine 6 Berselli, Luigi Carlo 6 Çibik, Aytekin Bayram 6 Codina, Ramon 6 Gunzburger, Max D. 6 Rhebergen, Sander 6 Schöberl, Joachim 6 Shi, Dongyang 5 Allendes, Alejandro 5 Ballarin, Francesco 5 Beirão da Veiga, Lourenço 5 Bowers, Abigail L. 5 Caiazzo, Alfonso 5 Chen, Gang 5 Chen, Shaochun 5 Coutinho, Alvaro L. G. A. 5 Doweidar, Mohamed Hamdy 5 Fuhrmann, Jürgen 5 Heister, Timo 5 Kindl, Adela 5 Kronbichler, Martin 5 Labovsky, Alexander E. 5 Mei, Liquan 5 Mohebujjaman, Muhammad 5 Poza, Abner H. 5 Rodrigo, Carmen 5 Saavedra, Laura 5 Shi, Feng 5 Trenchea, Catalin 5 Vacca, Giuseppe 5 Valentin, Frédéric 5 Xiao, Mengying 4 Arndt, Daniel 4 Becker, Roland 4 Bermejo, Rodolfo 4 Braack, Malte 4 Camata, Jose J. 4 Colomés, Oriol 4 Decaria, Victor 4 Ern, Alexandre 4 Eroglu, Fatma G. 4 Farrell, Patrick Emmet 4 Gaspar, Francisco José 4 Guzmán, Johnny 4 Hong, Youngjoon 4 Jenkins, Eleanor W. 4 Li, Jian 4 Lukáš, Petr 4 Oñate Ibáñez de Navarra, Eugenio 4 Otárola, Enrique 4 Ouazzi, Abderrahim 4 Quarteroni, Alfio M. 4 Rankin, Richard 4 Rasthofer, Ursula 4 Schneier, Michael ...and 1,174 more Authors all top 5 Cited in 116 Serials 158 Computer Methods in Applied Mechanics and Engineering 68 Journal of Computational Physics 51 Journal of Computational and Applied Mathematics 49 Journal of Scientific Computing 47 Computers & Mathematics with Applications 39 Computers and Fluids 35 Applied Mathematics and Computation 31 Applied Numerical Mathematics 27 SIAM Journal on Numerical Analysis 24 International Journal for Numerical Methods in Fluids 24 Numerical Methods for Partial Differential Equations 22 SIAM Journal on Scientific Computing 20 Journal of Mathematical Analysis and Applications 17 Advances in Computational Mathematics 11 Mathematics of Computation 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Numerische Mathematik 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Applied Mathematical Modelling 8 Applied Mathematics Letters 7 Mathematical Methods in the Applied Sciences 7 International Journal for Numerical Methods in Engineering 6 Calcolo 6 Applied Mathematics and Mechanics. (English Edition) 6 Journal of Mathematical Fluid Mechanics 6 Computational Methods in Applied Mathematics 6 Journal of Numerical Mathematics 5 BIT 5 Computational Mechanics 5 Mathematical and Computer Modelling 5 International Journal of Computer Mathematics 5 Computational and Applied Mathematics 5 Engineering Analysis with Boundary Elements 5 Mathematical Problems in Engineering 5 Archives of Computational Methods in Engineering 4 Computing 4 Applications of Mathematics 4 Numerical Algorithms 4 Communications in Nonlinear Science and Numerical Simulation 4 Computational Geosciences 4 International Journal of Computational Methods 4 International Journal of Advances in Engineering Sciences and Applied Mathematics 4 S\(\vec{\text{e}}\)MA Journal 3 Applicable Analysis 3 Journal of Fluid Mechanics 3 Mathematics and Computers in Simulation 3 Numerical Linear Algebra with Applications 3 Computing and Visualization in Science 3 International Journal of Computational Fluid Dynamics 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 Central European Journal of Mathematics 3 Advances in Numerical Analysis 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 Discrete and Continuous Dynamical Systems. Series B 2 Advances in Difference Equations 2 GEM - International Journal on Geomathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Communications on Pure and Applied Mathematics 1 Journal of Engineering 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 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 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 1 Vietnam Journal of Mathematics 1 Journal of Applied Mechanics and Technical Physics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Multiscale Modeling & Simulation ...and 16 more Serials all top 5 Cited in 29 Fields 676 Fluid mechanics (76-XX) 665 Numerical analysis (65-XX) 271 Partial differential equations (35-XX) 43 Mechanics of deformable solids (74-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 16 Biology and other natural sciences (92-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Geophysics (86-XX) 10 Ordinary differential equations (34-XX) 10 Classical thermodynamics, heat transfer (80-XX) 7 Probability theory and stochastic processes (60-XX) 5 Optics, electromagnetic theory (78-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Real functions (26-XX) 3 Approximations and expansions (41-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Computer science (68-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 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Citations by Year