Publikationen
2018
Begutachteter Zeitschriftenartikel
Construction of L 2-orthogonal elements of arbitrary order for Local Projection Stabilization
Schieweck, Friedhelm; Skrzypacz, P.; Tobiska, Lutz
In: Applied mathematics and computation - New York, NY: Elsevier, 1975, Bd. 337.2018, S. 87-101
2017
Dissertation
Higher order stabilized surface finite element methods for diffusion-convection-reaction equations on surfaces with and without boundary
Simon, Kristin; Tobiska, Lutz
In: docupoint Verlag, Barleben, 2017, Dissertation Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2017, xiv, 112 Seiten, Illustrationen, Diagramme, 21 cm - (Micro-macro transactions; Volume 28; Docupoint Wissenschaft), ISBN: 978-3-86912-133-8 [Literaturverzeichnis: Seite 107-112]
Nicht begutachteter Zeitschriftenartikel
Local projection stabilization for convection-diffusion-reaction equations on linear approximated surfaces
Simon, Kristin; Tobiska, Lutz
In: Magdeburg: Universität, Fakultät für Mathematik, 2017, 13 Seiten - (Preprint; Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2017,Nr.4)
2016
Begutachteter Zeitschriftenartikel
Modelling and simulation of magnetic particle diffusion in a ferrofluid layer
Lavrova, O.; Polevikov, V.; Tobiska, Lutz
In: Magnetohydrodynamics - Salaspils: Inst. of Physics, Univ. of Latvia, Bd. 52.2016, 4, S. 439-452
2015
Begutachteter Zeitschriftenartikel
Local projection type stabilization applied to inf-sup stable discretizations of the Oseen problem
Matthies, Gunnar; Tobiska, Lutz
In: IMA journal of numerical analysis: IMAJNA - Oxford: Oxford Univ. Press, Bd. 35.2015, 1, S. 239-269
Simulation of a pending drop at a capillary tip
Gille, M.; Gorbacheva, Yu; Hahn, Andreas; Polevikov, Viktor; Tobiska, Lutz
In: Communications in nonlinear science and numerical simulation. - Amsterdam [u.a.] : Elsevier, Bd. 26.2015, 1/3, S. 137-151
Robust arbitrary order mixed finite element methods for the incompressible Stokes equations with pressure independent velocity errors
Linke, Alexander; Matthies, Gunar; Tobiska, Lutz
In: Mathematical modelling and numerical analysis - Les Ulis : EDP Sciences, Bd. 50 (2016), Heft 1, S. 289-309
Robust a posteriori error estimates for stabilized finite element methods
Tobiska, Lutz; Verfürth, R.
In: IMA journal of numerical analysis: IMAJNA - Oxford: Oxford Univ. Press, S. 1652 - 1671, 2015
Dissertation
Wärmeübergang bei der Sprühkühlung mit intermittierenden Sprays im Film- und Übergangssiedebereich
Baer, Stephan; Schmidt, Jürgen; Specht, Eckehard; Tobiska, Lutz
In: Magdeburg Univ., Fak. für Verfahrens- und Systemtechnik, Diss., 2015, 148 S.
2014
Buchbeitrag
An ALE-based finite element method for the simulation of an impinging droplet on a hot surface
Ganesan, Sashikumaar; Rajasekaran, Sangeetha; Tobiska, Lutz
In: Sundar, S.: : Advances in PDE modeling and computation. - Ane Books, S. 35-53, 2014
Begutachteter Zeitschriftenartikel
A two-level higher order local projection stabilization on hexahedral meshes
Tobiska, Lutz
In: Applied numerical mathematics. - Amsterdam [u.a.] : Elsevier, Bd. 86.2014, S. 74-80
Numerical modeling of the non-isothermal liquid droplet impact on a hot solid substrate
Ganesan, Sashikumaar; Rajasekaran, Sangeetha; Tobiska, Lutz
In: International journal of heat and mass transfer. - Amsterdam [u.a.] : Elsevier, Bd. 78.2014, S. 670-687
Dissertation
Finite element simulation of an impinging liquid droplet on a hot solid substrate
Rajasekaran, Sangeetha; Tobiska, Lutz; Schmidt, Jürgen
In: Barleben: Docupoint-Verl., Zugl.: Magdeburg, Univ., Fak. für Mathematik, Diss., 2014, VIII, 94 S. - (Micro-macro transactions; 11), ISBN: 978-3-86912-110-9
2013
Begutachteter Zeitschriftenartikel
Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem
Knobloch, Petr; Tobiska, Lutz
In: Numerical methods for partial differential equations. - New York, NY [u.a.] : Wiley, Bd. 29.2013, 1, S. 206-225
Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems
Ganesan, Sashikumaar; Tobiska, Lutz
In: Applied mathematics and computation. - New York, NY : Elsevier, Bd. 219.2013, 11, S. 6182-6196
Stabilized finite element discretization applied to an operator-splitting method of population balance equations
Ahmed, Naveed; Matthies, Gunar; Tobiska, Lutz
In: Applied numerical mathematics. - Amsterdam [u.a.] : Elsevier, Bd. 70.2013, S. 58-79
2012
Abstract
An accurate numerical method for computation of two-phase flows with surfactants
Ganesan, Sashikumar; Hahn, Andreas; Held, Kristin; Tobiska, Lutz
In: ECCOMAS 2012. - Vienna, insges. 1 S.
Begutachteter Zeitschriftenartikel
A two-level local projection stabilisation on uniformly refined triangular meshes
Matthies, Gunar; Tobiska, Lutz
In: Numerical algorithms. - Bussum : Baltzer, Bd. 61.2012, 3, S. 465-478
A finite element method for a noncoercive elliptic problem with Neumann boundary conditions
Kavaliou, Klim; Tobiska, Lutz
In: Computational methods in applied mathematics. - Berlin : De Gruyter, Bd. 12.2012, 2, S. 168-183
Arbitrary LagrangianEulerian finite-element method for computation of two-phase flows with soluble surfactants
Ganesan, Sashikumaar; Tobiska, Lutz
In: Journal of computational physics. - Orlando, Fla : Academic Press, Bd. 231.2012, 9, S. 3685-3702
Originalartikel in begutachteter internationaler Zeitschrift
The two-level local projection stabilization as an enriched one-level approach
He, Lianhua; Tobiska, Lutz
In: Advances in computational mathematics. - Bussum : Baltzer Science Publ, Bd. 36.2012, 4, S. 503-523
A local projection type stabilization with exponential enrichments applied to one-dimensional advectiondiffusion equations
Juhnke, Dominique; Tobiska, Lutz
In: Computer methods in applied mechanics and engineering. - Amsterdam [u.a.] : Elsevier, Bd. 201/204.2012, S. 179-190
Numerical reduction of a crystallizer model with internal and external coordinates by proper orthogonal decomposition
Krasnyk, Mykhaylo; Mangold, Michael; Ganesan, Sashikumaar; Tobiska, Lutz
In: Chemical engineering science. - Amsterdam : Elsevier, Bd. 70.2012, S. 77-86
An operator-splitting finite element method for the efficient parallel solution of multidimensional population balance systems
Ganesan, Sashikumaar; Tobiska, Lutz
In: Chemical engineering science. - Amsterdam : Elsevier, Bd. 69.2012, 1, S. 59-68
2011
Originalartikel in begutachteter internationaler Zeitschrift
Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems
Ahmed, Naveed; Matthies, Gunar; Tobiska, Lutz; Xie, H.
In: Computer methods in applied mechanics and engineering. - Amsterdam [u.a.] : Elsevier, Bd. 200.2011, 21/22, S. 1747-1756
Supercloseness and superconvergence of stabilized low-order finite element discretizations of the stokes problem
Eichel, Hagen; Tobiska, Lutz; Xie, Hehu
In: Mathematics of computation. - Providence, RI : Soc, Bd. 80.2011, 274, S. 697-722
Finite elements methods of an operator splitting applied to population balance equations
Ahmed, Naveed; Matthies, Gunar; Tobiska, Lutz
In: Journal of computational and applied mathematics. - Amsterdam [u.a.] : North-Holland, Bd. 236.2011, 6, S. 1604-1621
On the stability of finite-element discretizations of convection-diffusion-reaction equations
Knobloch, Petr; Tobiska, Lutz
In: IMA journal of numerical analysis. - Oxford : Oxford Univ. Press, Bd. 31.2011, 1, S. 147-164
ADI approach to the particle diffusion problem in magnetic fluids
Polevikov, Viktor; Tobiska, Lutz
In: Mathematical modelling and analysis. - Vilnius : Technika, Bd. 16.2011, 1, S. 62-71
Numerical reduction of a crystallizer model with internal and external coordinates by proper orthogonal decomposition
Krasnyk, Mykhaylo; Mangold, Michael; Ganesan, Sashikumaar; Tobiska, Lutz
In: Chemical engineering science. - Amsterdam [u.a.] : Elsevier Science, 2011
Influence of diffusion of magnetic particles on stability of a static magnetic fluid seal under the action of external pressure drop
Polevikkov, Viktor; Tobiska, Lutz
In: Communications in nonlinear science & numerical simulation. - Amsterdam [u.a.] : Elsevier, Bd. 16.2011, 10, S. 4021-4027
2010
Buchbeitrag
Modeling of membrane reactors
Mangold, Michael; Schmidt, Jürgen; Tobiska, Lutz; Tsotsas, Evangelos
In: Membrane reactors. - Weinheim : Wiley-VCH, S. 29-62, 2010
Transport phenomena in porous membranes and membrane reactors
Georgieva-Angelova, Katya; Edreva, Velislava; Hussain, Arshad; Skrzypacz, Piotr; Tobiska, Lutz; Seidel-Morgenstern, Andreas; Tsotsas, Evangelos; Schmidt, Jürgen
In: Membrane reactors: distributing reactants to improve selectivity and yield - Weinheim: Wiley-VCH, S. 85-132, 2010
Dissertation
Finite element analysis for flows in chemical reactors
Skrzypacz, Piotr; Tobiska, Lutz
In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2010, II, 123 S., graph. Darst., 30 cm
Artikel in Kongressband
Reduction of a crystallizer model with internal and external coordinates by proper orthogonal decomposition
Krasnyk, Mykhaylo Jurijowitsch; Mangold, Michael; Ganesan, S.; Tobiska, Lutz
In: International Conference on Population Balance Modelling <4, 2010, Berlin> : 4th International Conference on Population Balance Modelling . - Berlin : Max-Planck-Institut für Dynamik komplexer technischer Systeme, S. 301-317Kongress: PBM 2010; 4 (Berlin) : 2010.09.15-17
Originalartikel in begutachteter internationaler Zeitschrift
Numerical study of the Rosensweig instability in a magnetic fluid subject to diffusion of magnetic particles
Lavrova, Olga; Polevikov, Viktor; Tobiska, Lutz
In: Mathematical modelling and analysis . - Vilnius : Technika, Bd. 15.2010, 2, S. 223-233
Stabilization by local projection for convection-diffusion and incompressible flow problems
Ganesan, Sashikumaar; Tobiska, Lutz
In: Journal of scientific computing . - New York, NY [u.a.] : Plenum Press, Bd. 43.2010, 3, S. 326-342
2009
Originalartikel in begutachteter internationaler Zeitschrift
Numerical study of the influence of diffusion of magnetic particles on equilibrium shapes of a free magnetic fluid surface
Beresnev, Sergey; Polevikov, Viktor; Tobiska, Lutz
In: Communications in nonlinear science & numerical simulation. - Amsterdam [u.a.] : Elsevier, Bd. 14.2009, 4, S. 1403-1409
A coupled arbitrary Lagrangian-Eulerian and Lagrangian method for computation of free surface flows with insoluble surfactants
Ganesan, Sashikumaar; Tobiska, Lutz
In: Journal of computational physics . - Amsterdam : Elsevier, Bd. 228.2009, 8, S. 2859-2873
A new approach to recovery of discontinuous galerkin
Franz, Sebastian; Tobiska, Lutz; Zarin, Helena
In: Journal of computational mathematics . - Beijing : Chinese Acad. of Mathematics and System Sciences, Bd. 27.2009, 6, S. 697-712
Quantitative benchmark computations of two-dimensional bubble dynamics
Hysing, S.; Turek, S.; Kuzmin, D.; Parolini, N.; Burman, E.; Ganesan, S.; Tobiska, Lutz
In: International journal for numerical methods in fluids . - Chichester : Wiley, Bd. 60.2009, 11, S. 1259-1288
Simulations of population balance systems with one internal coordinate using finite element methods
John, Volker; Mitkova, Teodora; Roland, Michael; Sundmacher, Kai; Tobiska, Lutz; Voigt, Andreas
In: Chemical engineering science. - Amsterdam : Elsevier, Bd. 64.2009, 4, S. 733-741
On the relationship of local projection stabilization to other stabilized methods for one-dimensional advectiondiffusion equations
Tobiska, Lutz
In: Computer methods in applied mechanics and engineering . - Amsterdam [u.a.] : Elsevier, Bd. 198.2009, 5/8, S. 831-837
Modelling and simulation of moving contact line problems with wetting effects
Ganesan, Sashikumaar; Tobiska, Lutz
In: Computing and visualization in science. - Berlin : Springer, Bd. 12.2009, 7, S. 329-336
Originalartikel in begutachteter zeitschriftenartiger Reihe
Recent results on local projection stabilization for convection-diffusion and flow problems
Tobiska, Lutz
In: BAIL 2008 - boundary and interior layers . - Berlin [u.a.] : Springer, ISBN 978-3-642-00604-3, S. 55-75; Lecture notes in computational science and engineering; 69Kongress: BAIL 2008; 11 (Limerick) : 2008.07.28-08.01
2008
Buchbeitrag
A finite element method for the simulation of a liquid droplet impinging on a solid surface
Ganesan, S.; Tobiska, Lutz
In: Recent advances in computational sciences . - Singapore [u.a.] : World Scientific, ISBN 981-270700-X, S. 65-79, 2008Kongress: International Workshop on Computational Sciences and its Education; (Beijing, China) : 2005.08.29-31
Finite element simulation of an impinging liquid droplet
Ganesan, Sashikumaar; Tobiska, Lutz
In: Micro-macro-interactions . - Berlin [u.a.] : Springer, ISBN 978-3-540-85714-3, S. 173-185
Numerical study of the influence of diffusion of magnetic particles on equilibrium shapes of a free magnetic fluid surface
Beresnev, Sergey; Polevikov, Viktor; Tobiska, Lutz
In: Micro-macro-interactions . - Berlin [u.a.] : Springer, ISBN 978-3-540-85714-3, S. 277-284
Originalartikel in begutachteter internationaler Zeitschrift
Local projection stabilization of equal order interpolation applied to the stokes problem
Ganesan, Sashikumaar; Matthies, Gunar; Tobiska, Lutz
In: Mathematics of computation . - Providence, RI : Soc., Bd. 77.2008, 264, S. 2039-2060
Non-nested multi-grid solvers for mixed divergence-free scott-vogelius discretizations
Linke, Alexander; Matthies, Gunar; Tobiska, Lutz
In: Computing . - Wien [u.a.] : Springer, Bd. 83.2008, 2/3, S. 87-107; Abstract
Modelling and simulation of moving contact line problems with wetting effects
Ganesan, Sashikumaar; Tobiska, Lutz
In: Computing and visualization in science . - Berlin : Springer, insges. 8 S.; Abstract
On the solution of the steady-state diffusion problem for ferromagnetic particles in a magnetic fluid
Polevikov, Viktor; Tobiska, Lutz
In: Mathematical modelling and analysis . - Vilnius : Technika, Bd. 13.2008, 2, S. 233-240
Quantitative benchmark computations of two-dimensional bubble dynamics
Hysing, S.; Turek, S.; Kuzmin, D.; Parolini, N.; Burman, E.; Ganesan, S.; Tobiska, Lutz
In: International journal for numerical methods in fluids . - Chichester : Wiley, insges. 30 S.; Abstract
Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
In: Electronic transactions on numerical analysis . - Kent, Ohio : Kent State Univ., Bd. 32.2008, S. 90-105
Numerical study of the influence of diffusion of magnetic particles on equilibrium shapes of a free magnetic fluid surface
Beresnev, Sergey; Polevikov, Viktor; Tobiska, Lutz
In: Communications in nonlinear science and numerical simulation . - Amsterdam [u.a.] : Elsevier, Abstract
Using rectangular Q p elements in the SDFEM for a convection-diffusion problem with a boundary layer
Stynes, Martin; Tobiska, Lutz
In: Applied numerical mathematics : transactions of IMACS - Amsterdam [u.a.] : North-Holland Publ. Co., Bd. 58.2008, 12, S. 1789-1802
Numerical study of soliton-like surface configurations on a magnetic fluid layer in the Rosensweig instability
Lavrova, Olga; Matthies, Gunar; Tobiska, Lutz
In: Communications in nonlinear science & numerical simulation . - Amsterdam [u.a.] : Elsevier, Bd. 13.2008, 7, S. 1302-1310
An accurate finite element scheme with moving meshes for computing 3D-axisymmetric interface flows
Ganesan, Sashikumaar; Tobiska, Lutz
In: International journal for numerical methods in fluids . - Chichester : Wiley, Bd. 57.2007, 2, S. 119-138
2007
Artikel in Kongressband
On the influence of finite element discretisations on spurious velocities in two-phase flows
Ganesan, Sashikumaar; Tobiska, Lutz
In: Proceedings of the ICMF 2007, 6th International Conference on Multiphase Flow/ International Conference on Multiphase Flow - Leipzig . - 2007, insges. 8 S.Kongress: ICMF 2007 6 (Leipzig : 2007.07.09-07.13)
Non-isothermal spreading of a liquid droplet with dynamic contact angels on a horizontal surface
Ganesan, Sashikumaar; Tobiska, Lutz
In: International Conference on Multiphase Flow <6, 2007, Leipzig> : Proceedings of the ICMF 2007, 6th International Conference on Multiphase Flow . - Leipzig, ISBN 978-3-86010-913-7, insges. 7 S.Kongress: ICMF 2007; 6 (Leipzig) : 2007.07.09-07.13
Originalartikel in begutachteter internationaler Zeitschrift
Numerical method for accelerated calculation of cyclic steady state of ModiConSMB-processes
Lübke, Robert; Seidel-Morgenstern, Andreas; Tobiska, Lutz
In: Computers & chemical engineering: CACE ; an international journal - Amsterdam [u.a.]: Elsevier, Bd. 31 (2007), 4, S. 258-267
The surface topography of a magnetic fluid - a quantitative comparison between experiment and numerical simulation
Gollwitzer, Christian; Matthies, Gunnar; Richter, Reinhard; Rehberg, Ingo; Tobiska, Lutz
In: Journal of fluid mechanics . - Cambridge [u.a.] : Cambridge Univ. Press, Bd. 571.2007, S. 455-474
On spurious velocities in incompressible flow problems with interfaces
Ganesan, Sashikumaar; Matthies, Gunar; Tobiska, Lutz
In: Computer methods in applied mechanics and engineering - Amsterdam [u.a.]: Elsevier Science, Bd. 196 (2007), 7, S. 1193-1202
Mass conservation of finite element methods for coupled flow-transport problems
Matthies, Gunar; Tobiska, Lutz
In: International journal of computing science and mathematics - Genève: Inderscience Enterprise Ltd., Bd. 1 (2007), 2/3/4, S. 293-307
An inf-sup stable and residual-free bubble element for the Oseen equations
Franca, Leopoldo P.; John, Volker; Matthies, Gunnar; Tobiska, Lutz
In: SIAM journal on numerical analysis: a publication of the Society for Industrial and Applied Mathematics/ Society for Industrial and Applied Mathematics - Philadelphia, Pa.: SIAM, Bd. 45 (2007), 6, S. 2392-2407
A unified convergence analysis for local projection stabilisations applied to the Oseen problem
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
In: Mathematical modelling and numerical analysis - Les Ulis: EDP Sciences, Bd. 41 (2007), 4, S. 713-742
Originalartikel in begutachteter nationaler Zeitschrift
Linear and nonlinear approach to the Rosensweig instability
Lange, Adian; Richter, Reinhard; Tobiska, Lutz
In: GAMM-Mitteilungen/ Gesellschaft für Angewandte Mathematik und Mechanik - Weinheim: Wiley-VCH, Bd. 30 (2007), 1, S. 171-184
2006
Originalartikel in begutachteter internationaler Zeitschrift
Numerical treatment of free surface problems in ferrohydrodynamics
Lavrova, Olga; Matthies, G.; Mitkova, Teodora; Polevikov, V.; Tobiska, Lutz
In: Journal of physics . - Bristol : IOP Publ., Bd. 18.2006, 38, S. 2657-2669; Abstract
Analysis of a new stabilized higher order finite element method for advection-diffusion equations
Tobiska, Lutz
In: Computer methods in applied mechanics and engineering . - Amsterdam [u.a.] : Elsevier Science, Bd. 196.2006, 1/3, S. 538-550; Abstract
Comparison of possible arrangements of five identical columns in preparative chromatography
Ziomek, G.; Antos, D.; Tobiska, Lutz; Seidel-Morgenstern, Andreas
In: Journal of chromatography / A: including electrophoresis, mass spectrometry and other separation and detection methods - New York, NY [u.a.]: Science Direct, Bd. 1116.2006, 1/2, S. 179-188
2005
Originalartikel in begutachteter internationaler Zeitschrift
Numerical simulation of normal-field instability in the static and dynamic case.
Matthies, Gunar; Tobiska, Lutz
In: Journal of magnetism and magnetic materials : MMM [Amsterdam] 289(2005), S. 346 - 349
Convergence analysis of a multiscale finite element method for singulaly pertured problems.
Franca, Leopold P.; Madureira, Alexandre L.; Tobiska, Lutz; Valentin, Frederic
In: Multiscale modeling & simulation [Philadelphia, Pa] 4(2005), Nr. 3, S. 839 - 866
Inf-sup stable non-conforming finite elements of arbitrary order on triangles.
Matthies, Gunar; Tobiska, Lutz
In: Numerische Mathematik [Berlin](2005), Nr. 10, [Elektronische Ressource]
Superconvergence of a 3D finite element method for stationary stokes and navier-stokes problems.
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
In: Numerical methods for partial differential equations [New York, NY] 21(2005), S. 701 - 725
On Korn's first inequality for quadrilateral nonconforming finite elements of first order approximation properties.
Knobloch, Petr; Tobiska, Lutz
In: International journal of numerical analysis and modelling [Edmont] 2(2005), Nr. 4, S. 439 358
Superconvergence and extrapolation of non-conforming low order finite elements applied to the poisson equation.
Lin, Qun; Tobiska, Lutz; Zhou, Aihui
In: IMA journal of numerical analysis [Oxford] 25(2005), Nr. 1, S. 160 - 181
Flow and engergy dissipation in a magnetic fluid drop around a permanent magnet.
Bashtovoi, V.; Lavrova, Olga; Mitkova, Teodora; Polevikov, Viktor; Tobiska, Lutz
In: Journal of magnetism and magnetic materials : MMM [Amsterdam] 289(2005), S. 207 - 210
Instability of magnetic fluid in a narrow gap between plates.
Polevikov, Viktor; Tobiska, Lutz
In: Journal of magnetism and magnetic materials : MMM [Amsterdam] 289(2005), S. 379 - 381
Originalartikel in begutachteter zeitschriftenartiger Reihe
Finite element simulation of a droplet impinging a horizontal surface.
Ganesan, Sashikumaar; Tobiska, Lutz
In: Handlovicova, Angela (Hrsg.) ; ... (Hrsg.): ALGORITMY 2000 (17th conference on scientific computing, Vysoke Tatry-Podbanske, Slovakia March 13 - 18, 2005). - proceedings of contributed papers and posters. Bratislava : Vyd. STU, 2005, S. 1 - 10 (Algoritmy 2005)
2004
Originalartikel in begutachteter internationaler Zeitschrift
Direct methanol fuel cell (DMFC): analysis of residence time behaviour of anodic flow bed.
Krewer, U.; Song, Y.; Sundmacher, Kai; John, Volker; Luebke, Robert; Matthies, Gunar; Tobiska, Lutz
In: Chemical engineering science [Amsterdam] 59(2004), S. 119 - 130
2003
Buchbeitrag
Numerical simulation of annular chromatography.
Tobiska, Lutz; Thiele, Angela
In: Jäger, Willi (Hrsg.) ; Krebs, Hans-Joachim (Hrsg.): Mathematics : key technology for the future ; joint projects between universities and industries. Berlin : Springer, 2003, S. 194 - 203
Originalartikel in begutachteter internationaler Zeitschrift
A numerical study of a class of LES models.
Iliescu, T.; John, Volker; Layton, W.J.; Matthies, Gunar; Tobiska, Lutz
In: International journal of computational fluid dynamics [Reading] 17(2003), Nr. 1, S. 75 - 85
The SDFEM for a convection-diffusion problem with a boundary layer : optimal error analysis and enchancement of accuracy.
Stynes, Martin; Tobiska, Lutz
In: SIAM journal on numerical analysis [Philadelphia, Pa] 41(2003), Nr. 5, S. 1620 - 1642
Numerical simulation of the flow in magnetic liquids with free surfaces.
Mitkova, Teodora; Tobiska, Lutz
In: Magneto-hydrodynamics : the faraday press cover-to-cover translation = Magnitnaya gidrodinamika [New York, NY] 39(2003), Nr. 1, S. 21 - 26
The P1(mod) element : a new nonconforming finite element for convection-diffusion problems.
Petr Knobloch,; Tobiska, Lutz
In: SIAM journal on numerical analysis [Philadelphia, Pa] 41(2003), Nr. 2, S. 436 - 456
Originalartikel in begutachteter zeitschriftenartiger Reihe
Finite element methods for coupled problems in ferrohydrodynamics.
Lavrova, Olga; Matthies, Gunar; Mitkova, Teodora; Polevikov, Viktor; Tobiska, Lutz
In: Bänsch, Eberhard (Hrsg.): Challenges in scientific computing, CISC 2002 (Conference Berlin, October 2-5, 2002). - proceedings. Berlin : Springer, 2003, S. 160 - 183 (Lecture notes in computational science and engineering 35)
2002
Originalartikel in begutachteter internationaler Zeitschrift
Stability of the residual free bubble method for bilinear finite elements on rectangular grids.
Franca, Leopold P.; Tobiska, Lutz
In: IMA journal of numerical analysis [Oxford] 22(2002), S. 73 - 87
Computer modeling of the instability of a horizontal magnetic-fluid layer in a uniform magnetic field.
Bashtovoi, V.G.; Lavrova, Olga; Polevikov, V.K.; Tobiska, Lutz
In: Journal of magnetism and magnetic materials : MMM [Amsterdam] 252(2002), S. 299 - 301
The inf-sup condition for the mapped Qk-P(disc)k-1 element in arbitrary space dimensions.
Matthies, Gunar; Tobiska, Lutz
In: Computing [Wien] 69(2002), S. 119 - 139
2001
Buchbeitrag
On higher oder finite element discretizations for the incompressible Navier-Stokes equations in three dimensions.
John, Volker; Matthies, Gunar; Tobiska, Lutz
In: Institute of Mathematic and its Applications (Veranst.): Computational fluid dynamics conference, ECCOMAS CFD 2001 (Conference Swansea 4-7 September 2001). - proceedings. Southend on Sea, Essex : Institute of Mathematic and its Applications, 2001. - Beitrag auf CD-ROM
Originalartikel in begutachteter internationaler Zeitschrift
The streamline-diffusion method for conforming and nonconforming finite-elements of lowest order applied to convection-diffusion problems.
Matthies, Gunar; Tobiska, Lutz
In: Computing [Wien] 66(2001), S. 343 - 364
Prediction of elution profiles in annular chromatography.
Thiele, Angela; Falk, Thomas; Tobiska, Lutz; Seidel Morgenstern, Andreas
In: Computers and chemical engineering [Amsterdam] 25(2001), S. 1089 - 1101
Numerical methods for transport-dominated and related problems.
Angermann, Lutz; Tobiska, Lutz
In: Computing [Wien] 66(2001), Nr. 2, S. 97
The streamline-diffusion method for nonconforming Q1ROT elements on rectangular tensor- product meshes.
Stynes, Martin; Tobiska, Lutz
In: IMA journal of numerical analysis [Oxford] 21(2001), S. 123 - 142
Analysis of the streamline-diffusion finite element method on a piecewise uniform mesh for a convection-diffusion problem with exponential layers.
Stynes, M.; Tobiska, Lutz
In: East-west journal of numerical mathematics [Zeist] 9(2001), Nr. 1, S. 59 - 76
Originalartikel in begutachteter nationaler Zeitschrift
Modelirovanie dinamiceskogo magnitozidkostnogo uplotnenija pri nalicii perepada davlenija.
Polevikov, V.K.; Tobiska, Lutz
In: Izvestija Akademii Nauk : mechanika zidkosti i gaza [Moskva](2001), Nr. 6, S. 42 - 51
2000
Buchbeitrag
Streamline-diffusion finite element method on a Shishkin mesh for singularly perturbed elliptic ecquations with exponential layers.
Tobiska, Lutz; Matthies, Gunar; Stynes, M.
In: Vulkow, L. G. (Hrsg.) ; Miller, J. J. H. (Hrsg.) ; Shishkin, G. I. (Hrsg.): Analytical and numerical methods for convection-dominated and singularly perturbed problems. Huntington, NY : Nova Science Publ., 2000, chapter 13
Convergence properties of the streamline-diffusion finite elemente method on a Shishkin mesh for singularly perturbed elliptic eaquations with exponential layers.
Tobiska, Lutz; Matthies, Gunar
In: Vulkow, L. G. (Hrsg.) ; Miller, J. J. H. (Hrsg.) ; Shishkin, G. I. (Hrsg.): Analytical and numerical methods for convection-dominated and singularly perturbed problems. Huntington, NY : Nova Science Publ., 2000
Originalartikel in begutachteter internationaler Zeitschrift
Stabilization methods of bubble type for the Q1/Q2-Element applied to the incompressible navier-stokes equations.
Knobloch, Petr; Tobiska, Lutz
In: Mathematical modelling and numerical analysis [Paris] 34(2000), Nr. 1, S. 85 - 107
Numerical performance of smoothers in coupled multigrid methods for the parallel solution of the incompressible Navier-Stokes equations.
John, Volker; Tobiska, Lutz
In: International journal for numerical methods in fluids [Chichester] 33(2000), S. 453 - 473
A coupled multigrid method for nonconforming finite element discretizations of the 2D-stokes equations.
John, Volker; Tobiska, Lutz
In: Computing [Wien] 64(2000), Nr. 4, S. 307 - 321
Originalartikel in begutachteter zeitschriftenartiger Reihe
Simulation of free surfaces of magnetic liquids.
Matthies, Gunar; Tobiska, Lutz
In: Handlovicova, Angela (Hrsg.) ; ... (Hrsg.): ALGORITMY 2000 (15th conference on scientific computing, Vysoke Tatry-Podbanske, Slovakia September 10 - 15, 2000). - proceedings. Bratislava : Vyd. STU, 2000, S. 1 - 10 (Algoritmy 2000)
A comparison of three solvers for the incompressible navier-stokes equations.
John, Volker; Matthies, Gunar; Mitkova, Teodora; Tobiska, Lutz; Vassilevski, P.S.
In: Griebel, M. (Hrsg.): Large-scale scientific computations of engineering and environmental problems II (Second workshop on "Large-scale scientific computations" Sozopol, Bulgaria June 2-6, 1999). - proceedings. Braunschweig : Vieweg, 2000, S. 215 - 222 (Notes on numerical fluid mechanics 73)