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

Publikationslink

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]

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)

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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., graph. Darst.

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

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

Publikationslink

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

Publikationslink

Finite element simulation of an impinging liquid droplet on a hot solid substrate

Rajasekaran, Sangeetha; Tobiska, Lutz; Schmidt, Jürgen

In: Zugl.: Magdeburg, Univ., Fak. für Mathematik, Diss., 2014: Barleben: Docupoint-Verl., VIII, 94 S., graph. Darst., 21 cm - (Micro-macro transactions; 11)

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

Publikationslink

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

Publikationslink

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

Publikationslink

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.

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

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

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

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

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

Publikationslink

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

Publikationslink

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

Publikationslink

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

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)

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

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

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

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)

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

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

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

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

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

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

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)