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Publications

Monographs
V. John, "Finite Element Methods for Incompressible Flow Problems" Springer Series in Computational Mathematics, Vol. 51, XIII + 812 p., Springer, 2016
V. John, "Large Eddy Simulation of Turbulent Incompressible Flows. Analytical and Numerical Results for a Class of LES Models" Lecture Notes in Computational Science and Engineering 34, Springer-Verlag Berlin, Heidelberg, New York, 2004
Book chapters
V. John, P. Knobloch, U. Wilbrandt, Finite Element Pressure Stabilizations for Incompressible Flow Problems, in G.P. Galdi, T. Bodnar, S. Necasova (Eds.), Fluids under Pressure, in press 2019
A. Dunca, V. John, W.J. Layton, "The Commutation Error of the Space Averaged Navier-Stokes Equations on a Bounded Domain", in G.P. Galdi, J.G. Heywood, R. Rannacher (Eds.), Contributions to Current Challenges in Mathematical Fluid Mechanics, Advances in Mathematical Fluid Mechanics 3, Birkhäuser Verlag Basel, 53 - 78, 2004
2019
Philipp W. Schroeder, Volker John, Philip L. Lederer, Christoph Lehrenfeld, Gert Lube, Joachim Schöberl On reference solutions and the sensitivity of the 2d Kelvin-Helmholtz instability problem, Computers and Mathematics with Applications 77, 1010 - 1028, 2019
Najib Alia, Volker John, Seppo Ollila Revisiting the single-phase flow model for liquid steel ladle stirred by gas, Applied Mathematical Modelling 67, 549 - 556, 2019
Clemens Bartsch, Volker John, Robert Patterson Simulations of an ASA Flow Crystallizer with a Coupled Stochastic-Deterministic Approach, Comp. & Chem. Engrg. 124, 350-363, 2019
Najib Alia, Mika Pylvänäinen, Ville-Valtteri Visuri, Volker John, Seppo Ollila Vibrations of a laboratory-scale gas-stirred ladle with two eccentric nozzles and multiple sensors, Journal of Iron and Steel Research International, in press, 2019
Clemens Bartsch, Viktoria Wiedmeyer, Zahra Lakdawala, Robert I.A. Patterson, Andreas Voigt, Kai Sundmacher, Volker John Stochastic-Deterministic Population Balance Modeling and Simulation of a Fluidized Bed Crystallizer Experiment, Chemical Engineering Science, in press, 2019
Abhinav Jha, Volker John A Study of Solvers for Nonlinear AFC Discretizations of Convection-Diffusion Equations, Computers and Mathematics with Applications, in press, 2019
Abhinav Jha, Volker John On Basic Iteration Schemes for Nonlinear AFC Discretizations, Proceedings of BAIL 2018, in press, 2019
2018
Gabriel R. Barrenechea, Volker John, Petr Knobloch, Richard Rankin A unified analysis of Algebraic Flux Correction schemes for convection-diffusion equations, SeMA Journal 75, 655 - 685, 2018
              Best Paper Award 2018
Naveed Ahmed, Clemens Bartsch, Volker John, Ulrich Wilbrandt An Assessment of Some Solvers for Saddle Point Problems Emerging from the Incompressible Navier-Stokes Equations, Comput. Methods Appl. Mech. Engrg. 331, 492 - 513, 2018
Javier de Frutos, Bosco Garcia-Archilla, Volker John, Julia Novo Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements, Adv. Comput. Math. 44, 195 - 225, 2018
Naveed Ahmed, Volker John, Gunar Matthies, Julia Novo A Local Projection Stabilization/Continuous Galerkin-Petrov Method for Incompressible Flow Problems, Appl. Math. Comp. 333, 304 - 324, 2018
Volker John, Julia Novo, Songul Kaya Finite Element Error Analysis of a Mantle Convection Model, Int. J. Num. Anal. Model. 15, 677 - 698, 2018
Volker John, Petr Knobloch, Julia Novo Finite Elements for Scalar Convection-Dominated Equations and Incompressible Flow Problems: a Never Ending Story?, Comput. Visual. Sci. 19, 47 - 63, 2018
Javier de Frutos, Bosco Garcia-Archilla, Volker John, Julia Novo Error Analysis of Non Inf-sup Stable Discretizations of the time-dependent Navier-Stokes Equations with Local Projection Stabilization, IMA J. Numer. Anal., in press, 2018
2017
Volker John, Alexander Linke, Christian Merdon, Michael Neilan, Leo R. Rebholz On the divergence constraint in mixed finite element methods for incompressible flows, SIAM Review 59, 492 - 544, 2017
Gabriel R. Barrenechea, Volker John, Petr Knobloch A linearity preserving algebraic flux correction scheme satisfying the discrete maximum principle on general meshes, Mathematical Models and Methods in Applied Sciences (M3AS) 27, 525 - 548, 2017
Naveed Ahmed, Tomas Chacon Rebollo, Volker John, Samuele Rubino A Review of Variational Multiscale Methods for the Simulation of Turbulent Incompressible Flows, Arch. Comput. Methods Engrg. 24, 115 - 164, 2017
Naveed Ahmed, Tomas Chacon Rebollo, Volker John, Samuele Rubino Analysis of Local Projection Stabilization Methods for the Fully Discrete Evolutionary Navier-Stokes Equations, IMA J. Numer. Anal. 37, 1437 - 1467 2017
Ulrich Wilbrandt, Clemens Bartsch, Naveed Ahmed, Najib Alia, Felix Anker, Laura Blank, Alfonso Caiazzo Sashikumaar Ganesan, Swetlana Giere, Gunar Matthies, Raviteja Meesala, Abdus Shamim, Jagannath Venkatesan, Volker John ParMooN - a modernized program package based on mapped finite elements, Computers and Mathematics with Applications 74, 74 - 88, 2017
Jannis Bulling, Volker John, Petr Knobloch Isogeometric analysis for flows around a cylinder, Appl. Math. Lett. 63, 65 - 70, 2017
Viktoria, Wiedmeyer, Felix Anker, Clemens Bartsch, Andreas Voigt, Volker John, Kai Sundmacher Continuous Crystallization in a Helically-Coiled Flow Tube: Analysis of Flow Field, Residence Time Behavior and Crystal Growth, Ind. Eng. Chem. Res. 56, 3699 - 3712, 2017
Swetlana Giere, Volker John Towards Physically Admissible Reduced-Order Solutions for Convection-Diffusion Problems, Appl. Math. Lett. 73, 78 - 83, 2017
2016
Gabriel R. Barrenechea, Volker John, Petr Knobloch Analysis of algebraic flux correction schemes, SIAM J. Numer. Analysis 54, 2427 - 2451, 2016
Javier de Frutos, Bosco Garcia-Archilla, Volker John, Julia Novo Grad-div stabilization for the evolutionary Oseen problem with inf-sup stable finite elements, J. Sci. Comp. 66, 991 - 1024, 2016
Volker John, Kristine Kaiser, Julia Novo Finite Element Methods for the Incompressible Stokes Equations with Variable Viscosity, ZAMM 96, 205 - 216, 2016
Javier de Frutos, Volker John, Julia Novo Projection Methods for Incompressible Flow Problems with WENO Finite Difference Schemes, J. Comput. Phys. 309, 368 - 386, 2016
Sashikumaar Ganesan, Volker John, Gunar Matthies, Raviteja Meesala, Abdus Shamim, Ulrich Wilbrandt An object oriented parallel finite element scheme for computations of PDEs: Design and implementation, IEEE 23rd International Conference on High Performance Computing Workshops Hyderabad, 106 - 115, 2016
2015
Volker John, Julia Novo Analysis of the PSPG Stabilization for the Evolutionary Stokes Equations Avoiding Time-Step Restrictions, SIAM J. Numer. Anal. 53, 1005 - 1031, 2015
Swetlana Giere, Traian Iliescu, Volker John, David Wells SUPG Reduced Order Models for Convection-Dominated Convection-Diffusion-Reaction Equations, Comput. Methods Appl. Mech. Engrg. 289, 454 - 474, 2015
Naveed Ahmed, Volker John Adaptive Time Step Control for Higher Order Variational Time Discretizations Applied to Convection-Diffusion-Reaction Equations, Comput. Methods Appl. Mech. Engrg. 285, 83 - 101, 2015
Felix Anker, Sashikumaar Ganesan, Volker John, Ellen Schmeyer A Comparative Study of a Direct Discretization and an Operator-Splitting Solver for Population Balance Systems, Comp. & Chem. Engrg. 75, 95 - 104, 2015
Gabriel R. Barrenechea, Volker John, Petr Knobloch Some analytical results for an algebraic flux correction scheme for a steady convection--diffusion equation in 1D, IMA J. Numer. Anal. 35, 1729 - 1756, 2015
2014
Alfonso Caiazzo, Volker John, Ulrich Wilbrandt On Classical Iterative Subdomain Methods for the Stokes-Darcy Problem, Comput. Geosci. 18, 711 - 728, 2014
E.W. Jenkins, V. John, A. Linke, L.G. Rebholz On the parameter choice in grad-div stabilization for the Stokes equations, Adv. Comput. Math. 40, 491 - 516, 2014
Javier de Frutos, Bosco Garcia-Archilla, Volker John, Julia Novo An adaptive SUPG method for evolutionary convection-diffusion equations, Comput. Methods Appl. Mech. Engrg. 273, 219 - 237, 2014
Alfonso Caiazzo, Traian Iliescu, Volker John, Swetlana Schyschlowa A Numerical Investigation of Velocity-Pressure Reduced Order Models for Incompressible Flows, J. Comput. Phys. 259, 598 - 616 , 2014
Volker John, Carina Suciu Direct Discretizations of Bi-Variate Population Balance Systems with Finite Difference Schemes of Different Order, Chemical Engineering Science 106, 39 - 52, 2014
Volker John, Liesel Schumacher A Study of Isogeometric Analysis for Scalar Convection-Diffusion Equations, Appl. Math. Lett. 27, 43 - 48, 2014
Ellen Schmeyer, Robert Bordas, Dominique Thevenin, Volker John Numerical Simulations and Measurements of a Droplet Size Distribution in a Turbulent Vortex Street, Meteorologische Zeitschrift 23(4), 387 - 396, 2014
2013
Gabriel R. Barrenechea, Volker John, Petr Knobloch A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations , ESAIM M2AN 47, 1335 - 1366, 2013
Robert Bordas, Volker John, Ellen Schmeyer, Dominique Thevenin Numerical Methods for the Simulation of a Coalescence-Driven Droplet Size Distribution , Theor. Comp. Fluid Dyn. 27, 253 - 271, 2013
Volker John, Julia Novo A robust SUPG norm a posteriori error estimator for stationary convection-diffusion equations , Comput. Methods Appl. Mech. Engrg. 255, 289 - 305, 2013
Gabriel R. Barrenechea, Volker John, Petr Knobloch A nonlinear local projection stabilization for convection-diffusion-reaction equations , Numerical Mathematics and Advanced Applications 2011 - Proceedings of ENUMATH 2011, Springer, 237 - 245, 2013
Volker John, Petr Knobloch Adaptive computation of parameters in stabilized methods for convection-diffusion problems , Numerical Mathematics and Advanced Applications 2011 - Proceedings of ENUMATH 2011, Springer, 275 - 283, 2013
2012
Volker John, Julia Novo On (Essentially) Non-Oscillatory Discretizations of Evolutionary Convection-Diffusion Equations , J. Comput. Phys. 231, 1570 - 1586, 2012
Volker John, Ferdinand Thein On the Efficiency and Robustness of the Core Routine of the Quadrature Method of Moments (QMOM) , Chemical Engineering Science 75, 327 - 333, 2012
Wolfgang Hackbusch, Volker John, Aram Khachatryan, Carina Suciu A Numerical Method for the Simulation of an Aggregation-Driven Population Balance System , Int. J. Numer. Meth. Fluids 69, 1646 - 1660, 2012
Robert Bordas, Volker John, Ellen Schmeyer, Dominique Thevenin Measurement and Simulation of a Droplet Population in a Turbulent Flow Field , Computers and Fluids 66, 52 - 62, 2012
2011
Volker John, Julia Novo Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations , SIAM J. Numer. Analysis 49, 1149 - 1176, 2011
Volker John, Petr Knobloch, Simona B. Savescu A posteriori optimization of parameters in stabilized methods for convection-diffusion problems - Part I , Comput. Meth. Appl. Mech. Engrg. 200, 2916 - 2929, 2011
Matthias Augustin, Alfonso Caiazzo, Andre Fiebach, Jürgen Fuhrmann, Volker John, Alexander Linke, Rudolf Umla An assessment of discretizations for convection-dominated convection-diffusion equations , Comput. Meth. Appl. Mech. Engrg. 200, 3395 - 3409, 2011
2010
Volker John, Adela Kindl A Variational Multiscale Method for Turbulent Flow Simulation with Adaptive Large Scale Space , J. Comput. Phys. 229, 301 - 312, 2010
Volker John, Michael Roland On the impact of the scheme for solving the higher-dimensional equation in coupled population balance systems , Internat. J. Numer. Methods Engrg. 82, 1450 - 1474, 2010
L.G.M. de Souza, G. Janiga, V. John and D. Thevenin Reconstruction of a distribution from a finite number of moments with an adaptive spline-based algorithm , Chemical Engineering Science 65, 2741 - 2750, 2010
Volker John, Adela Kindl Numerical Studies of Finite Element Variational Multiscale Methods for Turbulent Flow Simulations , Comput. Meth. Appl. Mech. Engrg. 199, 841 - 852, 2010
Volker John, Joachim Rang Adaptive time step control for the incompressible Navier-Stokes equations , Comput. Meth. Appl. Mech. Engrg. 199, 514 - 524, 2010
Volker John, Adela Kindl, Carina Suciu Finite Element LES and VMS Methods on Tetrahedral Meshes , J. Comp. Appl. Math. 233, 3095 - 3102, 2010
Volker John, Michael Roland Simulations of 3D/4D Precipitation Processes in a Turbulent Flow Field , in Numerical Mathematics and Advanced Applications 2009, G. Kreiss et al. (eds.), Springer, 479 - 487, 2010
2009
Volker John, Michael Roland, Teodora Mitkova, Kai Sundmacher, Lutz Tobiska, Andreas Voigt, Simulations of population balance systems with one internal coordinate using finite element methods , Chemical Engineering Science 64, 733 - 741, 2009
movie of a simulation
Volker John, Ellen Schmeyer On finite element methods for 3D time-dependent convection-diffusion-reaction equations with small diffusion , BAIL 2008 - Boundary and Interior Layers, Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008 Series: Lecture Notes in Computational Science and Engineering 69, Hegarty, A.; Kopteva, N.; O' Riordan, E.; Stynes, M. (Eds.), 173 - 181, 2009
2008
Volker John, Ellen Schmeyer Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion , Comput. Meth. Appl. Mech. Engrg., 198, 475 - 494, 2008
V.John and P.Knobloch "On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations: Part II - analysis for P1 and Q1 finite elements", Comput. Meth. Appl. Mech. Engrg. 197, 1997 - 2014, 2008
Volker John and Adela Kindl, Variants of Projection-Based Finite Element Variational Multiscale Methods for the Simulation of Turbulent Flows , Int. J. Numer. Meth. Fluids 56, 1321 - 1328, 2008
V.John and S.Kaya "Finite Element Error Analysis of a Variational Multiscale Method for the Navier-Stokes Equations" Adv. Comput. Math. 28, 43 - 61, 2008
V.John, S.Kaya and A. Kindl "Finite Element Error Analysis for a Projection-Based Variational Multiscale Method with Nonlinear Eddy Viscosity " J. Math. Anal. Appl. 344, 627 - 641, 2008
Volker John, Petr Knobloch, "On the Choice of Parameters in Stabilization Methods for Convection-Diffusion Equations" , in Numerical Mathematics and Advanced Applications, ENUMATH 2007, 297 - 304, Springer-Verlag Berlin Heidelberg 2008
2007
Volker John, William Layton and Carolina Manica, Convergence of time averaged statistics of finite element approximations of the Navier-Stokes equations , SIAM J. Numer. Anal. 46, 151 - 179, 2007
Leopoldo P. Franca, Volker John, Gunar Matthies and Lutz Tobiska, An inf-sup stable and residual-free bubble element for the Oseen equations , SIAM J. Numer. Anal. 45, 2392 - 2407, 2007
M.Braack, E.Burman, V.John and G.Lube "Stabilized finite element methods for the generalized Oseen problem", Comput. Meth. Appl. Mech. Engrg. 196, 853 - 866, 2007
V.John and P.Knobloch "On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations: Part I - a review", Comput. Meth. Appl. Mech. Engrg. 196, 2197 - 2215, 2007
Luigi C. Berselli, Carlo R. Grisanti, Volker John, Analysis of commutation errors for functions with low regularity , J. Comp. Appl. Math. 206, 1027 - 1045, 2007
Volker John and Michael Roland, Simulations of the Turbulent Channel Flow at $Re_{\tau} = 180$ with Projection-Based Finite Element Variational Multiscale Methods , Int. J. Numer. Meth. Fluids 55, 407 - 429, 2007
V. John, I. Angelov, A.A. Öncül and D. Thevenin Techiques for the Reconstruction of a Distribution from a Finite Number of its Moments , Chemical Engineering Science 62, 2890 - 2904, 2007
V.John and P.Knobloch "On the performance of SOLD methods for convection-diffusion problems with interior layers", Int. J. Comp. in Science and Mathematics 1, 245 - 258, 2007
2006
Luigi C. Berselli, Volker John, Asymptotic behavior of commutation errors and the divergence of the Reynolds stress tensor near the wall in the turbulent channel flow , Math. Methods Appl. Sci. 29, 1709 - 1719, 2006
Volker John, On Large Eddy Simulation and Variational Multiscale Methods in the Numerical Simulation of Turbulent Incompressible Flows , Applications of Mathematics 51, 321 - 353, 2006
Volker John, Gunar Matthies, Joachim Rang, A comparison of time-discretization/linearization approaches for the time-dependent incompressible Navier-Stokes equations, Comput. Meth. Appl. Mech. Engrg. 195, 5995 - 6010, 2006
V. John, S. Kaya, W. Layton, "A Two-Level Variational Multiscale Method for Convection-Diffusion Equations", Comput. Meth. Appl. Mech. Engrg. 195, 4594 - 4603, 2006
Volker John, Anastasios Liakos, "Time dependent flow across a step: the slip with friction boundary condition" , Int. J. Numer. Meth. Fluids 50, 713 - 731, 2006
V. John, "On the Efficiency of Linearization Schemes and Coupled Multigrid Methods in the Simulation of a 3D Flow Around a Cylinder", Int. J. Numer. Meth. Fluids 50, 845 - 862, 2006
Volker John and Adela Tambulea, On finite element variational multiscale methods for incompressible turbulent flows , Proceedings of ECCOMAS CFD, ISBN 90-9020970-0, 2006
Volker John, Petr Knobloch, On discontinuity-capturing methods for convection-diffusion equations" , in Numerical Mathematics and Advanced Applications, ENUMATH 2005, 336 - 344, Springer-Verlag Berlin Heidelberg 2006
Volker John, Petr Knobloch, A computational comparison of methods diminishing spurious oscillations in finite element solutions of convection-diffusion equations" , in the Proceedings of the International Conference on Programs and Algorithms of Numerical Mathematics 13, J. Chleboun, K. Segeth, T. Vejchodsky (eds.), 122 - 136, Academy of Science of the Czech Republic, 2006
2005
V.John and S.Kaya "A Finite Element Variational Multiscale Method for the Navier-Stokes Equations", SIAM J. Sci. Comp. 26, 1485 - 1503, 2005
S.Ganesan, V.John "Pressure Separation - a Technique for Improving the Velocity Error in Finite Element Discretisations of the Navier-Stokes Equations", Appl. Math. Comp. 165, 275 - 290, 2005
V. John, "An assessment of two models for the subgrid scale tensor in the rational LES model", J. Comp. Appl. Math. 173, 57 - 80, 2005
T. Mitkova, V. John, L. Tobiska, C. Steyer, A. Voigt, K. Sundmacher, "Simulationsmethoden für Partikel-Populationsbilanzen zur Analyse von Fällungsprozessen in Strömungsfeldern" , Chemie Ingenieur Technik 77, 1040, 2005
V. John, I. Angelov, A. A. Öncül, K. Sundmacher, D. Thevenin, "Towards the Optimal Reconstruction of a Distribution From its Moments" , Proceedings of the AIChE Annual Meeting, 2005
L.P. Franca, C. Harder, V. John, "An assessment of the LCD method for solving linear systems arising in SDFEM discretizations of convection-diffusion equations", Technical Report, University of Colorado at Denver, 2005
2004
A. Dunca, V. John "Finite element error analysis of space averaged flow fields defined by a differential filter", Math. Mod. Meth. Appl. Sci. (M3AS) 14, 603 - 618, 2004
A. Dunca, V. John and W. Layton, " Approximating local averages of fluid velocities: the equilibrium Navier--Stokes equations", Appl. Numer. Math 49, 187 - 205, 2004
V. John, G. Matthies, "MooNMD - a program package based on mapped finite element methods", Comput. Visual. Sci. 6, 163 - 170, 2004
V. John "Reference values for drag and lift of a two-dimensional time dependent flow around a cylinder", Int. J. Numer. Meth. Fluids 44, 777 - 788, 2004
U.Krewer, Y.Song., K.Sundmacher, V.John, R.Lübke, G. Matthies, L.Tobiska "Direct Methanol Fuel Cell (DMFC): Analysis of Residence Time Behaviour of Anodic Flow Bed", Chemical Engineering Science 59, 119 - 130, 2004
V. John, W.J. Layton, N. Sahin, "Derivation and Analysis of Near Wall Models for Channel and Recirculating Flows", Comput. Math. Appl. 48, 1135 - 1151, 2004
2003
T. Iliescu, V. John, W. J. Layton, G. Matthies and L. Tobiska, "A numerical study of a class of LES models", Int. J. Comput. Fluid Dyn. 17, 75 - 85, 2003
2002
V. John "Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier-Stokes equations", Int. J. Num. Meth. Fluids 40, 775 - 798, 2002
V. John and W. J. Layton , "Analysis of Numerical Errors in Large Eddy Simulation", SIAM J. Numer. Anal. 40, 995 - 1020, 2002
V. John, P. Knobloch, G. Matthies and L. Tobiska , "Non-nested multi-level solvers for finite element discretizations of mixed problems", Computing 68, 313 - 341, 2002
T. Iliescu, V. John and W. J. Layton, "Convergence of Finite Element Approximations of Large Eddy Motion", Num. Meth. Part. Diff. Equ. 18, 689 - 710, 2002
V. John, "Slip with friction and penetration with resistance boundary conditions for the Navier--Stokes equations - numerical tests and aspects of the implementation", J. Comp. Appl. Math. 147, 287 - 300, 2002
V. John, P. Knobloch, "On non-nested multi-level solvers for the Stokes and Navier-Stokes equations" , in M. Griebel, W. Hackbusch (eds.), Proceedings of the 18th GAMM Seminar on Multigrid and Related Methods for Optimisation Problems. ISBN 3-00-009258-7 (published electronically), 77 - 95, 2002
2001
V. John, W.J. Layton, "Approximating Local Averages of Fluid Velocities: The Stokes Problem", Computing 66, 269 - 287, 2001
V. John, "Residual A posteriori error estimates for two-level finite element methods for the Navier-Stokes equations", Applied Numerical Mathematics 37, 503 - 518, 2001
V. John, G. Matthies, "Higher Order Finite Element Discretizations in a Benchmark Problem for Incompressible Flows", Int. J. Num. Meth. Fluids 37, 885 - 903, 2001
V. John, "On smoothers in parallel coupled multigrid methods for incompressible Navier--Stokes equations", in: Peter Minev and Yaping Lin (ed.), Scientific Computing and Applications, Nova Science Publishers Inc. Huntington, 75 - 82, 2001
A. Dunca, V. John, W.J. Layton, N. Sahin, "Numerical Analysis of Large Eddy Simulation", DNS/LES - Progress and Challenges (Proceedings of Third AFOSR International Conference on DNS and LES), ed. by C. Liu, L. Sakell and T. Beutner, Greyden Press Columbus, 359 - 364, 2001
V. John, G. Matthies, L. Tobiska, "On higher order finite element discretizations for the incompressible Navier-Stokes equations in three dimensions", Proceedings of ECCOMAS 2001, on CD-Rom, ISBN 0 905 091 12 4, 2001
2000
V. John, "A Numerical Study of A Posteriori Error Estimators for Convection--Diffusion Equations", Comput. Methods Appl. Mech. Engrg., 190, 757 - 781, 2000
V. John, L. Tobiska, "Numerical Performance of Smoothers in Coupled Multigrid Methods for the Parallel Solution of the Incompressible Navier--Stokes Equations", Int. J. Num. Meth. Fluids 33, 453 - 473, 2000
V. John, L. Tobiska, "A Coupled Multigrid Method for Nonconforming Finite Element Discretizations of the 2d-Stokes Equation", Computing 64, 307 - 321, 2000
V. John, G. Matthies, T.I. Mitkova, L. Tobiska, P.S. Vassilevski, "A Comparison of Three Solvers for the Incompressible Navier-Stokes Equations", in: Large-Scle Scientific Computations of Engineering and Environmental Problems II, ed. by M. Griebel et al., Notes on Numerical Fluid Mechanics. v. 73, 215 - 222, Vieweg-Verlag, 2000
V. John, "On the Performance of Smoothers in Coupled Multigrid Methods for the Solution of the Incompressible Navier-Stokes equations on Parallel Computers", in: Advances in Fluid Mechanics III, ed. by M. Rahman and C.A. Brebbia, series: Advances in Fluid Mechanics 26, WIT Press, 181 - 190, 2000
1999
V. John, "A Comparison of Parallel Solvers for the Incompressible Navier-Stokes Equations", Comput. Visual. Sci. 1 (4), 193 - 200, 1999
1998
V. John, "A Posteriori L²-Error Estimates for the Nonconforming P1/P0-Finite Element Discretization of the Stokes Equations", J. Comp. Appl. Math. 96 (2): 99 - 116, 1998
V. John, G. Matthies, F. Schieweck, L. Tobiska, "A Streamline-Diffusion Method for Nonconforming Finite Element Approximations Applied to Convection-Diffusion Problems", Comput. Methods Appl. Mech. Engrg. 166: 85 - 97, 1998
V. John, "On the Parallel Performance of Coupled Multigrid Methods for the Solution of the Incompressible Navier-Stokes Equations", in: Large Scale Scientific Computations of Engineering and Environmental Problems, ed. by M. Griebel et al. Notes on Numerical Fluid Mechanics. v. 62, 269-280, Vieweg-Verlag, 1998
V. John, M. Tabata, L. Tobiska, "Error Estimates for Nonconforming Finite Element Approximations of the Drag and Lift Forces in Channel Flows", Preprint 3/98, Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg
1997
V. John, J.M. Maubach, L. Tobiska, "Nonconforming Streamline-Diffusion-Finite-Element-Methods for Convection-Diffusion Problems", Numerische Mathematik 78(2): 165-188, 1997
V. John, "A Posteriori Error Estimators for the Nonconforming P1-Finite Element Discretization of Convection-Diffusion Equations", Preprint 10/97, Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg
1996
O. Dorok, V. John, U. Risch, F. Schieweck, L. Tobiska, "Parallel Finite Element Methods for Solving the Incompressible Navier-Stokes Equations", in: E.H. Hirschel, Editor, "Flow Simulation with High-Performance Computers II", Band 52 der Notes on Numerical Fluid Mechanics, S. 20-33, Vieweg 1996
1994
V. John, "A Comparison of Some Error Estimators for Convection-Diffusion Problems on a Parallel Computer", Preprint 12/1994, Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik