Prof. Tobiska

Prof. Dr. Lutz Tobiska
Institut für Analysis und Numerik (IAN)
Abgeschlossene Projekte
- ALE-FEM für Zweiphasenströmungen mit Surfactants
Laufzeit: 01.11.2012 - 30.09.2017 - GRK 1554 Mikro-Makro-Wechselwirkungen in strukturierten Medien- und Partikelsystemen "Discretization of coupled pdes for surfacant influenced interfaces"
Laufzeit: 01.03.2012 - 28.02.2017 - Diffusion of magnetic particles in magnetic fluid seals
Laufzeit: 01.06.2011 - 31.05.2013 - FEM für die Navier-Stokes-Gleichungen in zeitabhängigen Gebieten
Laufzeit: 01.05.2009 - 31.12.2011 - Gekoppelte Simulation von Partikelpopulationen in turbulenten Strömungen
Laufzeit: 01.07.2007 - 30.06.2010 - Numerical simulation of the interactions between a ferrofluid and an immersed permanent magnet
Laufzeit: 01.04.2007 - 31.05.2010 - Hochauflösende numerische Verfahren für dynamische Zweiphasensysteme mit Surfactants
Laufzeit: 01.08.2006 - 28.02.2010 - Analysis und Numerik von SMB-Prozessen
Laufzeit: 01.02.2004 - 31.10.2008 - Modellierung und FEM-Analysis in Membranreaktoren
Laufzeit: 01.09.2005 - 31.08.2007 - FEM zur numerischen Simulation von Ferrofluiden
Laufzeit: 01.01.2005 - 31.07.2006 - Numerische Methoden für Mehrskalenprobleme
Laufzeit: 01.01.2004 - 31.12.2005 - Modellierung und FEM-Analysis in Membranreaktoren
Laufzeit: 01.09.2002 - 31.08.2005 - Graduierten Kolleg `Modellierung, Berechnung und Identifikation mechanischer Systeme`
Laufzeit: 01.03.1997 - 28.02.2001
2018
Begutachteter Zeitschriftenartikel
Construction of L 2-orthogonal elements of arbitrary order for Local Projection Stabilization
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
In: Barleben, docupoint Verlag, 2017, xiv, 112 Seiten, Illustrationen, Diagramme, 21 cm - (Docupoint Wissenschaft; Micro-macro transactions; Volume 28), 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
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
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
In: IMA journal of numerical analysis: IMAJNA - Oxford: Oxford Univ. Press, Bd. 35.2015, 1, S. 239-269
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
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
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
Dissertation
Wärmeübergang bei der Sprühkühlung mit intermittierenden Sprays im Film- und Übergangssiedebereich
In: Magdeburg Univ., Fak. für Verfahrens- und Systemtechnik, Diss., 2015, 148 S., graph. Darst.
2014
Begutachteter Zeitschriftenartikel
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
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
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
Dissertation
Finite element simulation of an impinging liquid droplet on a hot solid substrate
In: Zugl.: Magdeburg, Univ., Fak. für Mathematik, Diss., 2014: Barleben: Docupoint-Verl., VIII, 94 S., graph. Darst., 21 cm - (Micro-macro transactions; 11)
2013
Begutachteter Zeitschriftenartikel
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
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
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
Abstract
An accurate numerical method for computation of two-phase flows with surfactants
In: ECCOMAS 2012. - Vienna, insges. 1 S.
Begutachteter Zeitschriftenartikel
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
A two-level local projection stabilisation on uniformly refined triangular meshes
In: Numerical algorithms. - Bussum : Baltzer, Bd. 61.2012, 3, S. 465-478
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
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
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
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
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
ADI approach to the particle diffusion problem in magnetic fluids
In: Mathematical modelling and analysis. - Vilnius : Technika, Bd. 16.2011, 1, S. 62-71
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
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
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
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
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
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
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
Modeling of membrane reactors
In: Membrane reactors. - Weinheim : Wiley-VCH, S. 29-62, 2010
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
Dissertation
Finite element analysis for flows in chemical reactors
In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2010, II, 123 S., graph. Darst., 30 cm
Originalartikel in begutachteter internationaler Zeitschrift
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
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
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
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
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
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; numerical simulation. - Amsterdam [u.a.] : Elsevier, Bd. 14.2009, 4, S. 1403-1409
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
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
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
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
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
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
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
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
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
Modelling and simulation of moving contact line problems with wetting effects
In: Computing and visualization in science . - Berlin : Springer, insges. 8 S.
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
Numerical study of soliton-like surface configurations on a magnetic fluid layer in the Rosensweig instability
In: Communications in nonlinear science &amp; numerical simulation . - Amsterdam [u.a.] : Elsevier, Bd. 13.2008, 7, S. 1302-1310
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
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
Quantitative benchmark computations of two-dimensional bubble dynamics
In: International journal for numerical methods in fluids . - Chichester : Wiley, insges. 30 S.
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
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
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
On the influence of finite element discretisations on spurious velocities in two-phase flows
In: Proceedings of the ICMF 2007, 6th International Conference on Multiphase Flow: Leipzig, July 9. - 13. 2007 - Leipzig, insges. 8 S. ; Kongress: ICMF 2007 6 (Leipzig : 2007.07.09-07.13) ; [Beitrag auf DVD, S1 Fri A 63]
Originalartikel in begutachteter internationaler Zeitschrift
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
An inf-sup stable and residual-free bubble element for the Oseen equations
In: SIAM journal on numerical analysis: a publication of the Society for Industrial and Applied Mathematics - Philadelphia, Pa: SIAM, Bd. 45.2007, 6, S. 2392-2407
Mass conservation of finite element methods for coupled flow-transport problems
In: International journal of computing science and mathematics: IJCSM - Genève: Inderscience Enterprise Ltd., Bd. 1.2007, 2/3/4, S. 293-307
Numerical method for accelerated calculation of cyclic steady state of ModiConSMB-processes
In: Computers &amp; chemical engineering: CACE ; an international journal - Amsterdam [u.a.]: Elsevier, 1977, Bd. 31.2007, 4, S. 258-267
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
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
Linear and nonlinear approach to the Rosensweig instability
In: GAMM-Mitteilungen - Weinheim: Wiley-VCH, Bd. 30.2007, 1, S. 171-184
2006
Originalartikel in begutachteter internationaler Zeitschrift
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
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
Numerical treatment of free surface problems in ferrohydrodynamics
In: Journal of physics . - Bristol : IOP Publ., Bd. 18.2006, 38, S. 2657-2669
2005
Originalartikel in begutachteter internationaler Zeitschrift
Convergence analysis of a multiscale finite element method for singulaly pertured problems.
In: Multiscale modeling &amp; simulation [Philadelphia, Pa] 4(2005), Nr. 3, S. 839 - 866
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
Inf-sup stable non-conforming finite elements of arbitrary order on triangles.
In: Numerische Mathematik [Berlin](2005), Nr. 10, [Elektronische Ressource]
Instability of magnetic fluid in a narrow gap between plates.
In: Journal of magnetism and magnetic materials : MMM [Amsterdam] 289(2005), S. 379 - 381
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
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
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
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
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
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
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
A numerical study of a class of LES models.
In: International journal of computational fluid dynamics [Reading] 17(2003), Nr. 1, S. 75 - 85
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
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
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
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
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
Non-nested multi-level solvers for finite element discretisations of mixed problems.
In: Computing [Wien] 68(2002), S. 313 - 341
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
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
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
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
Numerical methods for transport-dominated and related problems.
In: Computing [Wien] 66(2001), Nr. 2, S. 97
Prediction of elution profiles in annular chromatography.
In: Computers and chemical engineering [Amsterdam] 25(2001), S. 1089 - 1101
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
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
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
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
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
A coupled multigrid method for nonconforming finite element discretizations of the 2D-stokes equations.
In: Computing [Wien] 64(2000), Nr. 4, S. 307 - 321
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
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
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)
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)
Arbeitsgebiet und Schwerpunkte:
- Diskretisierungsverfahren für nichtlineare partielle Differentialgleichungen mit Anwendungen auf die numerische Strömungsmechanik.
- Angepasste Diskretisierungen für Konvektions-Diffusions-Reaktionsgleichungen
- Superkonvergenz von finite elemente Verfahren
- Mehrgittermethoden für diskrete finite Elemente Systteme
- Numerische Simulation magnetischer Finite mit freien Rändern
Ausbildung | |
1969-1973 | Mathematikstudium an der TH Magdeburg Spezialisierung: Differentialgleichungen Hauptprüfungen: Analysis, Mathematische Modelle, Algebra, Operationsforschung |
1973 | Diplomarbeit: Die Methode von Vasiljeva zur Lösung von Anfangsrandwertaufgaben (Betreuer: Prof. Dr. H. Goering) |
1977 | Promotion: Die asymptotische Lösung von Wärmeleitproblemen (Betreuer: Prof. Dr. H. Goering) |
1981 | Erteilung der Lehrbefugnis |
1984 | Habilitation: Die asymptotische Lösung singulär gestörter elliptischer Randwertprobleme |
Berufliche Tätigkeit | |
1973-1976 | Wiss. Assist. (befr.) am Institut für Analysis der TH Magdeburg |
1977-1984 | Wiss. Assist. am Institut für Analysis der TH Magdeburg |
1984-1987 | Oberassistent am Institut für Analysis der TH Magdeburg Forschungsaufenthalt (6 Monate) an der Universität Kiew |
1987-1990 | Hochschuldozent für Analysis an der TU Magdeburg |
1990-1992 | Ordentlicher Professor für Analysis an der TU Magdeburg |
seit 1992 | Universitätsprofessor für Analysis, Forschungsaufenthalte an den Universitäten in Zürich, Cork, Pittsburgh, College Station, Peking und Denver |
1992-2002 | Sprecher des Graduiertenkollegs "Modellierung, Berechnung und Identifikation mechanischer Systeme" |
1997-2003 | DFG-Forschergruppe 301 "Grenzflächendynamik bei Strukturbildungsprozessen" (Mitantragsteller) |
2001-2007 | DFG-Forschergruppe 447 "Membranunterstützte Reaktionsführung" (Mitantragsteller) |
2002-2008 | DFG-Forschergruppe 468 "Methods from Discrete Mathematics for the Synthesis and Control of Chemical Processes" (Mitantragsteller) |
seit 2002 | Mitglied im Graduiertenkolleg 828 "Mikro-Makro-Wechselwirkungen in strukturierten Medien und Partikelsystemen" |
seit 2004 | Mitherausgeber des Journals "Computational Methods in Applied Mathematics" |
2004-2012 | Sprecher des Fachkollegium Mathematik der DFG |