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Prof. Tobiska

Prof. Dr. rer. nat. habil. Lutz Tobiska

Fakultät für Mathematik
Institut für Analysis und Numerik (IAN)
Gebäude 02, Universitätsplatz 2, 39106, Magdeburg, Gebäude 02, Raum 15b
Tel.: +49 391 67 18650
Fax: +49 391 67 18073

Prof. Dr. rer. nat. habil. Lutz Tobiska

Fakultät für Mathematik
Institut für Analysis und Numerik (IAN)
Gebäude 02, Universitätsplatz 2, 39106, Magdeburg, Gebäude 02, Raum 15b
Tel.: +49 391 67 18650
Fax: +49 391 67 18073
Projekte
Publikationen

2016

Begutachteter Zeitschriftenartikel
Lavrova, O.;  Polevikov, V.;  Tobiska, Lutz 

Modelling and simulation of magnetic particle diffusion in a ferrofluid layer
In: Magnetohydrodynamics. - Salaspils : Inst. of Physics, Univ. of Latvia, Bd. 52.2016, 4, S. 439-452

2015

Begutachteter Zeitschriftenartikel
Matthies, Gunnar;  Tobiska, Lutz 

Local projection type stabilization applied to inf-sup stable discretizations of the Oseen problem
In: IMA journal of numerical analysis. - Oxford : Oxford Univ. Press, Bd. 35.2015, 1, S. 239-269

Tobiska, Lutz;  Verfürth, R. 

Robust a posteriori error estimates for stabilized finite element methods
In: IMA journal of numerical analysis : IMAJNA. - Oxford : Oxford Univ. Press, S. 1652 - 1671, 2015

Linke, Alexander;  Matthies, Gunar;  Tobiska, Lutz 

Robust arbitrary order mixed finite element methods for the incompressible Stokes equations with pressure independent velocity errors
In: Mathematical modelling and numerical analysis : an international journal on applied mathematics. - Les Ulis : EDP Sciences, 2015

Gille, M.;  Gorbacheva, Yu;  Hahn, Andreas;  Polevikov, Viktor;  Tobiska, Lutz 

Simulation of a pending drop at a capillary tip
In: Communications in nonlinear science and numerical simulation. - Amsterdam [u.a.] : Elsevier, Bd. 26.2015, 1/3, S. 137-151

2014

Begutachteter Zeitschriftenartikel
Tobiska, Lutz 

A two-level higher order local projection stabilization on hexahedral meshes
In: Applied numerical mathematics. - Amsterdam [u.a.] : Elsevier, Bd. 86.2014, S. 74-80

Ganesan, Sashikumaar;  Rajasekaran, Sangeetha;  Tobiska, Lutz 

Numerical modeling of the non-isothermal liquid droplet impact on a hot solid substrate
In: International journal of heat and mass transfer. - Amsterdam [u.a.] : Elsevier, Bd. 78.2014, S. 670-687

Buchbeitrag
Ganesan, Sashikumaar;  Rajasekaran, Sangeetha;  Tobiska, Lutz 

An ALE-based finite element method for the simulation of an impinging droplet on a hot surface
In: Sundar, S.: : Advances in PDE modeling and computation. - Ane Books, S. 35-53, 2014

2013

Begutachteter Zeitschriftenartikel
Knobloch, Petr;  Tobiska, Lutz 

Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem
In: Numerical methods for partial differential equations. - New York, NY [u.a.] : Wiley, Bd. 29.2013, 1, S. 206-225

Ganesan, Sashikumaar;  Tobiska, Lutz 

Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems
In: Applied mathematics and computation. - New York, NY : Elsevier, Bd. 219.2013, 11, S. 6182-6196

Ahmed, Naveed;  Matthies, Gunar;  Tobiska, Lutz 

Stabilized finite element discretization applied to an operator-splitting method of population balance equations
In: Applied numerical mathematics. - Amsterdam [u.a.] : Elsevier, Bd. 70.2013, S. 58-79

2012

Abstrakt
Ganesan, Sashikumar;  Hahn, Andreas;  Held, Kristin;  Tobiska, Lutz 

An accurate numerical method for computation of two-phase flows with surfactants
In: ECCOMAS 2012. - Vienna, insges. 1 S.

Begutachteter Zeitschriftenartikel
Kavaliou, Klim;  Tobiska, Lutz 

A finite element method for a noncoercive elliptic problem with Neumann boundary conditions
In: Computational methods in applied mathematics. - Berlin : De Gruyter, Bd. 12.2012, 2, S. 168-183

Matthies, Gunar;  Tobiska, Lutz 

A two-level local projection stabilisation on uniformly refined triangular meshes
In: Numerical algorithms. - Bussum : Baltzer, Bd. 61.2012, 3, S. 465-478

Ganesan, Sashikumaar;  Tobiska, Lutz 

Arbitrary LagrangianEulerian finite-element method for computation of two-phase flows with soluble surfactants
In: Journal of computational physics. - Orlando, Fla : Academic Press, Bd. 231.2012, 9, S. 3685-3702

Originalartikel in begutachteter internationaler Zeitschrift
Juhnke, Dominique;  Tobiska, Lutz 

A local projection type stabilization with exponential enrichments applied to one-dimensional advectiondiffusion equations
In: Computer methods in applied mechanics and engineering. - Amsterdam [u.a.] : Elsevier, Bd. 201/204.2012, S. 179-190

Ganesan, Sashikumaar;  Tobiska, Lutz 

An operator-splitting finite element method for the efficient parallel solution of multidimensional population balance systems
In: Chemical engineering science. - Amsterdam : Elsevier, Bd. 69.2012, 1, S. 59-68

Krasnyk, Mykhaylo;  Mangold, Michael;  Ganesan, Sashikumaar;  Tobiska, Lutz 

Numerical reduction of a crystallizer model with internal and external coordinates by proper orthogonal decomposition
In: Chemical engineering science. - Amsterdam : Elsevier, Bd. 70.2012, S. 77-86

He, Lianhua;  Tobiska, Lutz 

The two-level local projection stabilization as an enriched one-level approach
In: Advances in computational mathematics. - Bussum : Baltzer Science Publ, Bd. 36.2012, 4, S. 503-523

2011

Originalartikel in begutachteter internationaler Zeitschrift
Polevikov, Viktor;  Tobiska, Lutz 

ADI approach to the particle diffusion problem in magnetic fluids
In: Mathematical modelling and analysis. - Vilnius : Technika, Bd. 16.2011, 1, S. 62-71

Ahmed, Naveed;  Matthies, Gunar;  Tobiska, Lutz;  Xie, H. 

Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems
In: Computer methods in applied mechanics and engineering. - Amsterdam [u.a.] : Elsevier, Bd. 200.2011, 21/22, S. 1747-1756

Ahmed, Naveed;  Matthies, Gunar;  Tobiska, Lutz 

Finite elements methods of an operator splitting applied to population balance equations
In: Journal of computational and applied mathematics. - Amsterdam [u.a.] : North-Holland, Bd. 236.2011, 6, S. 1604-1621

Polevikkov, Viktor;  Tobiska, Lutz 

Influence of diffusion of magnetic particles on stability of a static magnetic fluid seal under the action of external pressure drop
In: Communications in nonlinear science & numerical simulation. - Amsterdam [u.a.] : Elsevier, Bd. 16.2011, 10, S. 4021-4027

Krasnyk, Mykhaylo;  Mangold, Michael;  Ganesan, Sashikumaar;  Tobiska, Lutz 

Numerical reduction of a crystallizer model with internal and external coordinates by proper orthogonal decomposition
In: Chemical engineering science. - Amsterdam [u.a.] : Elsevier Science, 2011

Knobloch, Petr;  Tobiska, Lutz 

On the stability of finite-element discretizations of convection-diffusion-reaction equations
In: IMA journal of numerical analysis. - Oxford : Oxford Univ. Press, Bd. 31.2011, 1, S. 147-164

Eichel, Hagen;  Tobiska, Lutz;  Xie, Hehu 

Supercloseness and superconvergence of stabilized low-order finite element discretizations of the stokes problem
In: Mathematics of computation. - Providence, RI : Soc, Bd. 80.2011, 274, S. 697-722

2010

Artikel in Kongressband
Krasnyk, Mykhaylo Jurijowitsch;  Mangold, Michael;  Ganesan, S.;  Tobiska, Lutz 

Reduction of a crystallizer model with internal and external coordinates by proper orthogonal decomposition
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. 301-317 ; Kongress: PBM 2010; 4 (Berlin) : 2010.09.15-17

Buchbeitrag
Mangold, Michael;  Schmidt, Jürgen;  Tobiska, Lutz;  Tsotsas, Evangelos 

Modeling of membrane reactors
In: Membrane reactors. - Weinheim : Wiley-VCH, S. 29-62, 2010

Georgieva-Angelova, Katya;  Edreva, Velislava;  Hussain, Arshad;  Skrzypacz, Piotr;  Tobiska, Lutz;  Seidel-Morgenstern, Andreas;  Tsotsas, Evangelos;  Schmidt, Jürgen 

Transport phenomena in porous membranes and membrane reactors
In: Membrane reactors: distributing reactants to improve selectivity and yield - Weinheim: Wiley-VCH, S. 85-132, 2010

Originalartikel in begutachteter internationaler Zeitschrift
Lavrova, Olga;  Polevikov, Viktor;  Tobiska, Lutz 

Numerical study of the Rosensweig instability in a magnetic fluid subject to diffusion of magnetic particles
In: Mathematical modelling and analysis . - Vilnius : Technika, Bd. 15.2010, 2, S. 223-233

Ganesan, Sashikumaar;  Tobiska, Lutz 

Stabilization by local projection for convection-diffusion and incompressible flow problems
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
Ganesan, Sashikumaar;  Tobiska, Lutz 

A coupled arbitrary Lagrangian-Eulerian and Lagrangian method for computation of free surface flows with insoluble surfactants
In: Journal of computational physics . - Amsterdam : Elsevier, Bd. 228.2009, 8, S. 2859-2873

Franz, Sebastian;  Tobiska, Lutz;  Zarin, Helena 

A new approach to recovery of discontinuous galerkin
In: Journal of computational mathematics . - Beijing : Chinese Acad. of Mathematics and System Sciences, Bd. 27.2009, 6, S. 697-712

Ganesan, Sashikumaar;  Tobiska, Lutz 

Modelling and simulation of moving contact line problems with wetting effects
In: Computing and visualization in science. - Berlin : Springer, Bd. 12.2009, 7, S. 329-336

Beresnev, Sergey;  Polevikov, Viktor;  Tobiska, Lutz 

Numerical study of the influence of diffusion of magnetic particles on equilibrium shapes of a free magnetic fluid surface
In: Communications in nonlinear science &amp;amp;amp;amp;amp;amp; numerical simulation. - Amsterdam [u.a.] : Elsevier, Bd. 14.2009, 4, S. 1403-1409

Tobiska, Lutz 

On the relationship of local projection stabilization to other stabilized methods for one-dimensional advectiondiffusion equations
In: Computer methods in applied mechanics and engineering . - Amsterdam [u.a.] : Elsevier, Bd. 198.2009, 5/8, S. 831-837

Hysing, S.;  Turek, S.;  Kuzmin, D.;  Parolini, N.;  Burman, E.;  Ganesan, S.;  Tobiska, Lutz 

Quantitative benchmark computations of two-dimensional bubble dynamics
In: International journal for numerical methods in fluids . - Chichester : Wiley, Bd. 60.2009, 11, S. 1259-1288

John, Volker;  Mitkova, Teodora;  Roland, Michael;  Sundmacher, Kai;  Tobiska, Lutz;  Voigt, Andreas 

Simulations of population balance systems with one internal coordinate using finite element methods
In: Chemical engineering science. - Amsterdam : Elsevier, Bd. 64.2009, 4, S. 733-741

Originalartikel in begutachteter zeitschriftenartiger Reihe
Tobiska, Lutz 

Recent results on local projection stabilization for convection-diffusion and flow problems
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; 69

2008

Buchbeitrag
Ganesan, S.;  Tobiska, Lutz 

A finite element method for the simulation of a liquid droplet impinging on a solid surface
In: Recent advances in computational sciences . - Singapore [u.a.] : World Scientific, ISBN 981-270700-X, S. 65-79, 2008 ; Kongress: International Workshop on Computational Sciences and its Education; (Beijing, China) : 2005.08.29-31

Ganesan, Sashikumaar;  Tobiska, Lutz 

Finite element simulation of an impinging liquid droplet
In: Micro-macro-interactions . - Berlin [u.a.] : Springer, ISBN 978-3-540-85714-3, S. 173-185

Beresnev, Sergey;  Polevikov, Viktor;  Tobiska, Lutz 

Numerical study of the influence of diffusion of magnetic particles on equilibrium shapes of a free magnetic fluid surface
In: Micro-macro-interactions . - Berlin [u.a.] : Springer, ISBN 978-3-540-85714-3, S. 277-284

Originalartikel in begutachteter internationaler Zeitschrift
Ganesan, Sashikumaar;  Tobiska, Lutz 

An accurate finite element scheme with moving meshes for computing 3D-axisymmetric interface flows
In: International journal for numerical methods in fluids . - Chichester : Wiley, Bd. 57.2007, 2, S. 119-138

Ganesan, Sashikumaar;  Matthies, Gunar;  Tobiska, Lutz 

Local projection stabilization of equal order interpolation applied to the stokes problem
In: Mathematics of computation . - Providence, RI : Soc., Bd. 77.2008, 264, S. 2039-2060

Ganesan, Sashikumaar;  Tobiska, Lutz 

Modelling and simulation of moving contact line problems with wetting effects
In: Computing and visualization in science . - Berlin : Springer, insges. 8 S.; Abstract unter URL: http://dx.doi.org/10.1007/s00791-008-0111-3, 2008

Linke, Alexander;  Matthies, Gunar;  Tobiska, Lutz 

Non-nested multi-grid solvers for mixed divergence-free scott-vogelius discretizations
In: Computing . - Wien [u.a.] : Springer, Bd. 83.2008, 2/3, S. 87-107; Abstract unter URL: http://dx.doi.org/10.1007/s00607-008-0016-5

Lavrova, Olga;  Matthies, Gunar;  Tobiska, Lutz 

Numerical study of soliton-like surface configurations on a magnetic fluid layer in the Rosensweig instability
In: Communications in nonlinear science &amp;amp;amp;amp;amp;amp; numerical simulation . - Amsterdam [u.a.] : Elsevier, Bd. 13.2008, 7, S. 1302-1310

Beresnev, Sergey;  Polevikov, Viktor;  Tobiska, Lutz 

Numerical study of the influence of diffusion of magnetic particles on equilibrium shapes of a free magnetic fluid surface
In: Communications in nonlinear science and numerical simulation . - Amsterdam [u.a.] : Elsevier, Abstract unter URL: http://dx.doi.org/10.1016/j.cnsns.2008.04.005

Polevikov, Viktor;  Tobiska, Lutz 

On the solution of the steady-state diffusion problem for ferromagnetic particles in a magnetic fluid
In: Mathematical modelling and analysis . - Vilnius : Technika, Bd. 13.2008, 2, S. 233-240

Hysing, S.;  Turek, S.;  Kuzmin, D.;  Parolini, N.;  Burman, E.;  Ganesan, S.;  Tobiska, Lutz 

Quantitative benchmark computations of two-dimensional bubble dynamics
In: International journal for numerical methods in fluids . - Chichester : Wiley, insges. 30 S.; Abstract unter URL: http://dx.doi.org/10.1002/fld.1934, 2008

Matthies, Gunar;  Skrzypacz, Piotr;  Tobiska, Lutz 

Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions
In: Electronic transactions on numerical analysis . - Kent, Ohio : Kent State Univ., Bd. 32.2008, S. 90-105

Stynes, Martin;  Tobiska, Lutz 

Using rectangular Q p elements in the SDFEM for a convection-diffusion problem with a boundary layer
In: Applied numerical mathematics . - Amsterdam [u.a.] : North-Holland Publ. Co., Bd. 58.2008, 12, S. 1789-1802

2007

Artikel in Kongressband
Ganesan, Sashikumaar;  Tobiska, Lutz 

Non-isothermal spreading of a liquid droplet with dynamic contact angels on a horizontal surface
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

Ganesan, Sashikumaar;  Tobiska, Lutz 

On the influence of finite element discretisations on spurious velocities in two-phase flows
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. 8 S. ; Kongress: ICMF 2007; 6 (Leipzig) : 2007.07.09-07.13

Originalartikel in begutachteter internationaler Zeitschrift
Matthies, Gunar;  Skrzypacz, Piotr;  Tobiska, Lutz 

A unified convergence analysis for local projection stabilisations applied to the Oseen problem
In: Mathematical modelling and numerical analysis . - Les Ulis : EDP Sciences, Bd. 41.2007, 4, S. 713-742

Franca, Leopoldo P.;  John, Volker;  Matthies, Gunnar;  Tobiska, Lutz 

An inf-sup stable and residual-free bubble element for the Oseen equations
In: Society for Industrial and Applied Mathematics : SIAM journal on numerical analysis . - Philadelphia, Pa. : SIAM, Bd. 45.2007, 6, S. 2392-2407

Matthies, Gunar;  Tobiska, Lutz 

Mass conservation of finite element methods for coupled flow-transport problems
In: International journal of computing science and mathematics . - Genève : Inderscience Enterprise Ltd., Bd. 1.2007, 2/3/4, S. 293-307

Lübke, Robert;  Seidel-Morgenstern, Andreas;  Tobiska, Lutz 

Numerical method for accelerated calculation of cyclic steady state of ModiConSMB-processes
In: Computers &amp;amp;amp;amp;amp;amp; chemical engineering . - Amsterdam [u.a.] : Elsevier, Bd. 31.2007, 4, S. 258-267

Ganesan, Sashikumaar;  Matthies, Gunar;  Tobiska, Lutz 

On spurious velocities in incompressible flow problems with interfaces
In: Computer methods in applied mechanics and engineering . - Amsterdam [u.a.] : Elsevier Science, Bd. 196.2007, 7, S. 1193-1202; Abstract unter URL: http://dx.doi.org/10.1016/j.cma.2006.08.018

Gollwitzer, Christian;  Matthies, Gunnar;  Richter, Reinhard;  Rehberg, Ingo;  Tobiska, Lutz 

The surface topography of a magnetic fluid - a quantitative comparison between experiment and numerical simulation
In: Journal of fluid mechanics . - Cambridge [u.a.] : Cambridge Univ. Press, Bd. 571.2007, S. 455-474

Originalartikel in begutachteter nationaler Zeitschrift
Lange, Adian;  Richter, Reinhard;  Tobiska, Lutz 

Linear and nonlinear approach to the Rosensweig instability
In: Gesellschaft für Angewandte Mathematik und Mechanik : GAMM-Mitteilungen . - Weinheim : Wiley-VCH, Bd. 30.2007, 1, S. 171-184

2006

Originalartikel in begutachteter internationaler Zeitschrift
Tobiska, Lutz 

Analysis of a new stabilized higher order finite element method for advection-diffusion equations
In: Computer methods in applied mechanics and engineering . - Amsterdam [u.a.] : Elsevier Science, Bd. 196.2006, 1/3, S. 538-550; Abstract unter URL: http://han.med.uni-magdeburg.de/han/3392/www.sciencedirect.com/science?_ob=ArticleURL&amp;amp;amp;amp;amp;amp;_udi=B6V29-4KKFP4V-2&amp;amp;amp;amp;amp;amp;_user=1908396&amp;amp;amp;amp;amp;amp;_handle=V-WA-A-W-CZ-MsSWYWW-UUA-U-AAZBDZWYCC-AAZABVBZCC-WUEDZVZUA-CZ-U&amp;amp;amp;amp;amp;amp;_fmt=summary&amp;amp;amp;amp;amp;amp;_coverDate=12%2F01%2F2006&amp;amp;amp;amp;amp;amp;_rdoc=41&amp;amp;amp;amp;amp;amp;_orig=browse&amp;amp;amp;amp;amp;amp;_srch=%23toc%235697%232006%23998039998%23635535!&amp;amp;amp;amp;amp;amp;_cdi=5697&amp;amp;amp;amp;amp;amp;_acct=C000052693&amp;amp;amp;amp;amp;amp;_version=1&amp;amp;amp;amp;amp;amp;_urlVersion=0&amp;amp;amp;amp;amp;amp;_userid=1908396&amp;amp;amp;amp;amp;amp;md5=f17f303905adc1113e5847b5f61cfe9d

Ziomek, G.;  Antos, D.;  Tobiska, Lutz;  Seidel-Morgenstern, Andreas 

Comparison of possible arrangements of five identical columns in preparative chromatography
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; http://www.sciencedirect.com/science?_ob=ArticleURL&amp;amp;amp;amp;amp;amp;_udi=B6TG8-4JRVB84-6&amp;amp;amp;amp;amp;amp;_user=1908389&amp;amp;amp;amp;amp;amp;_handle=V-WA-A-W-VU-MsSAYZW-UUW-U-AACZUZACUY-AACBZVWBUY-ACDZUWBE-VU-U&amp;amp;amp;amp;amp;amp;_fmt=summary&amp;amp;amp;amp;amp;amp;_coverDate=05/26/2006&amp;amp;amp;amp;amp;amp;_rdoc=25&amp;amp;amp;amp;amp;amp;_orig=browse&amp;amp;amp;amp;amp;amp;_srch=#toc#5248#2006#988839998#622229!&amp;amp;amp;amp;amp;amp;_cdi=5248&amp;amp;amp;amp;amp;amp;view=c&amp;amp;amp;amp;amp;amp;_acct=C000052693&amp;amp;amp;amp;amp;amp;_version=1&amp;amp;amp;amp;amp;amp;_urlVersion=0&amp;amp;amp;amp;amp;amp;_userid=1908389&amp;amp;amp;amp;amp;amp;md5=78fedef62b83461608b7956d569dcf66

Lavrova, Olga;  Matthies, G.;  Mitkova, Teodora;  Polevikov, V.;  Tobiska, Lutz 

Numerical treatment of free surface problems in ferrohydrodynamics
In: Journal of physics . - Bristol : IOP Publ., Bd. 18.2006, 38, S. 2657-2669; Abstract unter URL: http://www.iop.org/EJ/abstract/0953-8984/18/38/S09

2005

Originalartikel in begutachteter internationaler Zeitschrift
Franca, Leopold P. (ext.);  Madureira, Alexandre L. (ext.);  Tobiska, Lutz;  Valentin, Frederic (ext.) 

Convergence analysis of a multiscale finite element method for singulaly pertured problems.
In: Multiscale modeling &amp;amp;amp;amp;amp;amp; simulation [Philadelphia, Pa] 4(2005), Nr. 3, S. 839 - 866

Bashtovoi, V. (ext.);  Lavrova, Olga;  Mitkova, Teodora;  Polevikov, Viktor (ext.);  Tobiska, Lutz 

Flow and engergy dissipation in a magnetic fluid drop around a permanent magnet.
In: Journal of magnetism and magnetic materials : MMM [Amsterdam] 289(2005), S. 207 - 210

Matthies, Gunar;  Tobiska, Lutz 

Inf-sup stable non-conforming finite elements of arbitrary order on triangles.
In: Numerische Mathematik [Berlin](2005), Nr. 10, [Elektronische Ressource]

Polevikov, Viktor (ext.);  Tobiska, Lutz 

Instability of magnetic fluid in a narrow gap between plates.
In: Journal of magnetism and magnetic materials : MMM [Amsterdam] 289(2005), S. 379 - 381

Matthies, Gunar;  Tobiska, Lutz 

Numerical simulation of normal-field instability in the static and dynamic case.
In: Journal of magnetism and magnetic materials : MMM [Amsterdam] 289(2005), S. 346 - 349

Knobloch, Petr (ext.);  Tobiska, Lutz 

On Korn's first inequality for quadrilateral nonconforming finite elements of first order approximation properties.
In: International journal of numerical analysis and modelling [Edmont] 2(2005), Nr. 4, S. 439 358

Lin, Qun (ext.);  Tobiska, Lutz;  Zhou, Aihui (ext.) 

Superconvergence and extrapolation of non-conforming low order finite elements applied to the poisson equation.
In: IMA journal of numerical analysis [Oxford] 25(2005), Nr. 1, S. 160 - 181

Matthies, Gunar;  Skrzypacz, Piotr;  Tobiska, Lutz 

Superconvergence of a 3D finite element method for stationary stokes and navier-stokes problems.
In: Numerical methods for partial differential equations [New York, NY] 21(2005), S. 701 - 725

Originalartikel in begutachteter zeitschriftenartiger Reihe
Ganesan, Sashikumaar;  Tobiska, Lutz 

Finite element simulation of a droplet impinging a horizontal surface.
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
Krewer, U. (ext.);  Song, Y. (ext.);  Sundmacher, Kai;  John, Volker;  Luebke, Robert;  Matthies, Gunar;  Tobiska, Lutz 

Direct methanol fuel cell (DMFC): analysis of residence time behaviour of anodic flow bed.
In: Chemical engineering science [Amsterdam] 59(2004), S. 119 - 130

2003

Buchbeitrag
Tobiska, Lutz;  Thiele, Angela (ext.) 

Numerical simulation of annular chromatography.
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
Iliescu, T. (ext.);  John, Volker;  Layton, W.J. (ext.);  Matthies, Gunar;  Tobiska, Lutz 

A numerical study of a class of LES models.
In: International journal of computational fluid dynamics [Reading] 17(2003), Nr. 1, S. 75 - 85

Mitkova, Teodora;  Tobiska, Lutz 

Numerical simulation of the flow in magnetic liquids with free surfaces.
In: Magneto-hydrodynamics : the faraday press cover-to-cover translation = Magnitnaya gidrodinamika [New York, NY] 39(2003), Nr. 1, S. 21 - 26

Petr Knobloch, (ext.);  Tobiska, Lutz 

The P1(mod) element : a new nonconforming finite element for convection-diffusion problems.
In: SIAM journal on numerical analysis [Philadelphia, Pa] 41(2003), Nr. 2, S. 436 - 456

Stynes, Martin (ext.);  Tobiska, Lutz 

The SDFEM for a convection-diffusion problem with a boundary layer : optimal error analysis and enchancement of accuracy.
In: SIAM journal on numerical analysis [Philadelphia, Pa] 41(2003), Nr. 5, S. 1620 - 1642

Originalartikel in begutachteter zeitschriftenartiger Reihe
Lavrova, Olga;  Matthies, Gunar;  Mitkova, Teodora;  Polevikov, Viktor;  Tobiska, Lutz 

Finite element methods for coupled problems in ferrohydrodynamics.
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
Bashtovoi, V.G. (ext.);  Lavrova, Olga;  Polevikov, V.K. (ext.);  Tobiska, Lutz 

Computer modeling of the instability of a horizontal magnetic-fluid layer in a uniform magnetic field.
In: Journal of magnetism and magnetic materials : MMM [Amsterdam] 252(2002), S. 299 - 301

John, Volker;  Knobloch, P. (ext.);  Matthies, Gunar;  Tobiska, Lutz 

Non-nested multi-level solvers for finite element discretisations of mixed problems.
In: Computing [Wien] 68(2002), S. 313 - 341

Franca, Leopold P. (ext.);  Tobiska, Lutz 

Stability of the residual free bubble method for bilinear finite elements on rectangular grids.
In: IMA journal of numerical analysis [Oxford] 22(2002), S. 73 - 87

Matthies, Gunar;  Tobiska, Lutz 

The inf-sup condition for the mapped Qk-P(disc)k-1 element in arbitrary space dimensions.
In: Computing [Wien] 69(2002), S. 119 - 139

2001

Buchbeitrag
John, Volker;  Matthies, Gunar;  Tobiska, Lutz 

On higher oder finite element discretizations for the incompressible Navier-Stokes equations in three dimensions.
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
Stynes, M. (ext.);  Tobiska, Lutz 

Analysis of the streamline-diffusion finite element method on a piecewise uniform mesh for a convection-diffusion problem with exponential layers.
In: East-west journal of numerical mathematics [Zeist] 9(2001), Nr. 1, S. 59 - 76

Angermann, Lutz;  Tobiska, Lutz 

Numerical methods for transport-dominated and related problems.
In: Computing [Wien] 66(2001), Nr. 2, S. 97

Thiele, Angela;  Falk, Thomas;  Tobiska, Lutz;  Seidel Morgenstern, Andreas 

Prediction of elution profiles in annular chromatography.
In: Computers and chemical engineering [Amsterdam] 25(2001), S. 1089 - 1101

Matthies, Gunar;  Tobiska, Lutz 

The streamline-diffusion method for conforming and nonconforming finite-elements of lowest order applied to convection-diffusion problems.
In: Computing [Wien] 66(2001), S. 343 - 364

Stynes, Martin (ext.);  Tobiska, Lutz 

The streamline-diffusion method for nonconforming Q1ROT elements on rectangular tensor- product meshes.
In: IMA journal of numerical analysis [Oxford] 21(2001), S. 123 - 142

Originalartikel in begutachteter nationaler Zeitschrift
Polevikov, V.K. (ext.);  Tobiska, Lutz 

Modelirovanie dinamiceskogo magnitozidkostnogo uplotnenija pri nalicii perepada davlenija.
In: Izvestija Akademii Nauk : mechanika zidkosti i gaza [Moskva](2001), Nr. 6, S. 42 - 51

2000

Buchbeitrag
Tobiska, Lutz;  Matthies, Gunar 

Convergence properties of the streamline-diffusion finite elemente method on a Shishkin mesh for singularly perturbed elliptic eaquations with exponential layers.
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

Tobiska, Lutz;  Matthies, Gunar;  Stynes, M. (ext.) 

Streamline-diffusion finite element method on a Shishkin mesh for singularly perturbed elliptic ecquations with exponential layers.
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

Originalartikel in begutachteter internationaler Zeitschrift
John, Volker;  Tobiska, Lutz 

A coupled multigrid method for nonconforming finite element discretizations of the 2D-stokes equations.
In: Computing [Wien] 64(2000), Nr. 4, S. 307 - 321

John, Volker;  Tobiska, Lutz 

Numerical performance of smoothers in coupled multigrid methods for the parallel solution of the incompressible Navier-Stokes equations.
In: International journal for numerical methods in fluids [Chichester] 33(2000), S. 453 - 473

Knobloch, Petr (ext.);  Tobiska, Lutz 

Stabilization methods of bubble type for the Q1/Q2-Element applied to the incompressible navier-stokes equations.
In: Mathematical modelling and numerical analysis [Paris] 34(2000), Nr. 1, S. 85 - 107

Originalartikel in begutachteter zeitschriftenartiger Reihe
John, Volker;  Matthies, Gunar;  Mitkova, Teodora;  Tobiska, Lutz;  Vassilevski, P.S. (ext.) 

A comparison of three solvers for the incompressible navier-stokes equations.
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)

Matthies, Gunar;  Tobiska, Lutz 

Simulation of free surfaces of magnetic liquids.
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)

Kooperationen
Profile
Analysis

Arbeitsgebiet und Schwerpunkte:
  • Diskretisierungsverfahren für nichtlineare partielle Differentialgleichungen mit Anwendungen auf die numerische Strömungsmechanik.
Service
Kooperationen zu Fragen der numerischen Simulation mit finiten Elementen

  • Angepasste Diskretisierungen für Konvektions-Diffusions-Reaktionsgleichungen
  • Superkonvergenz von finite elemente Verfahren
  • Mehrgittermethoden für diskrete finite Elemente Systteme
  • Numerische Simulation magnetischer Finite mit freien Rändern
Vita
Ausbildung
1969-1973Mathematikstudium an der TH Magdeburg
Spezialisierung: Differentialgleichungen
Hauptprüfungen: Analysis, Mathematische Modelle, Algebra, Operationsforschung
1973Diplomarbeit: Die Methode von Vasiljeva zur Lösung von Anfangsrandwertaufgaben (Betreuer: Prof. Dr. H. Goering)
1977Promotion: Die asymptotische Lösung von Wärmeleitproblemen (Betreuer: Prof. Dr. H. Goering)
1981Erteilung der Lehrbefugnis
1984Habilitation: Die asymptotische Lösung singulär gestörter elliptischer Randwertprobleme
Berufliche Tätigkeit
1973-1976Wiss. Assist. (befr.) am Institut für Analysis der TH Magdeburg
1977-1984Wiss. Assist. am Institut für Analysis der TH Magdeburg
1984-1987Oberassistent am Institut für Analysis der TH Magdeburg
Forschungsaufenthalt (6 Monate) an der Universität Kiew
1987-1990Hochschuldozent für Analysis an der TU Magdeburg
1990-1992Ordentlicher Professor für Analysis an der TU Magdeburg
seit 1992Universitätsprofessor für Analysis, Forschungsaufenthalte an den Universitäten in Zürich, Cork, Pittsburgh, College Station, Peking und Denver
1992-2002Sprecher des Graduiertenkollegs "Modellierung, Berechnung und Identifikation mechanischer Systeme"
1997-2003DFG-Forschergruppe 301 "Grenzflächendynamik bei Strukturbildungsprozessen" (Mitantragsteller)
2001-2007DFG-Forschergruppe 447 "Membranunterstützte Reaktionsführung" (Mitantragsteller)
2002-2008DFG-Forschergruppe 468 "Methods from Discrete Mathematics for the Synthesis and Control of Chemical Processes" (Mitantragsteller)
seit 2002Mitglied im Graduiertenkolleg 828 "Mikro-Makro-Wechselwirkungen in strukturierten Medien und Partikelsystemen"
seit 2004Mitherausgeber des Journals "Computational Methods in Applied Mathematics"
2004-2012
Sprecher des Fachkollegium Mathematik der DFG
presse

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