Research Interests
Numerical Anlysis. Computational Analysis. Partial Differential
Equations. Decomposition and Discretisation Methods for Hyperbolic and Parabolic Equations.
Optimisation. Scientific computing. Interface Analysis
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Humboldt-University of Berlin
Department of Mathematics
Postal Address :
Department of Mathematics
Humboldt-University of Berlin
Unter den Linden 6
D-10099 Berlin, Germany
Office:
Room 2.421 (house 2, 4th floor)
Rudower Chaussee 25
D-12489 Berlin, Germany
Phone : +49 30 2093-5451
Mobile : +49 177 407 3748
Fax: +49 30 2093-5859
e-mail : geiser@mathematik.hu-berlin.de
1993 - 1999
1999 - 2003
02.2004 - 05.2004
06.2004 - 08.2004
08.2004 - 01.2006
02.2006 - 01.2007
02.2007 - 12.2007
01.2008 -
Metalbip - Nano implanted, metallic bipolar plates for PEFC
2007-2010 : Humboldt Univerity of Berlin, Germany.
Simulation and Modelling of low-temperature low-pressure plasma modell of a CVD (chemical vapor deposition) process. In the last years, due to the research in producing high temperature films by depositing of low pressurs processes have increased. We use a model for low temperature and low pressure plasma, that can be used to implant or deposite thin layers of important materials. The applications are used in the production so called metallic bipolar plates.
Numerical Simulation and Control of Sublimation Growth of SiC Bulk Single
Crystals
2004-2005 : Weierstrass Institute, Berlin, Germany.
Simulation and Modelling of Sublimation growth of SiC bulk single crystals via physical vapor transport (PVT), also known as the modified Lely method. Design of solver and discretisation methods for the heat transport euations.
Development of a Software-package for a simulation of transport and reaction processes in porous media with an underlying groundwater-flow. The analysing for discretisation-methods for convection-dominant equations and the embedding of analytical methods for the reaction-equation are developped.
Application and theoretical results for multiple sources in the transport- and reaction-equations as a model-equation for radioactive waste-disposals. We compare different applications. The theory is an attempt to embed analytical test-functions in the discretisation methods.
J. Geiser: Iterative operator-splitting methods for unbounded operators: Error analysis and examples, arXiv:0904.0160v1 (http://arxiv.org/abs/0904.0160), April 2009.
J. Geiser: Discretisation Methods with embedded analytical solutions for convection dominated transport in porous media Proceeding of Numerical Analysis and Applications, Third international conference, Rousse, Bulgaria, 2004, Lect.Notes in Mathematics,vol.3401,(2005),Springer, [article_naa04.ps].
J. Geiser, O. Klein and P. Philip: WIAS-HiTNIHS: Software-tool for simulation in sublimation growth for SiC single crystal : Application and Methods. Proceeding of the International Congress of Nanotechnology and Nano, Oakland, San Francisco, USA, 2004.
J. Geiser: Weighted Iterative Operator-Splitting Methods: Stability-Theory Proceedings of the 6th International Conference, NMA 2006, Borovets, Bulgaria, August 20-24, 2006, published in : Lecture Notes in Computer Science, Volume 4310, 40--47, 2007, [http://www.springerlink.com/content/y226q8170x0151w7/].
J. Geiser, Chr. Kravvaritis: Weighted Iterative Operator-Splitting Methods and Applications Proceedings of the 6th International Conference, NMA 2006, Borovets, Bulgaria, August 20-24, 2006, published in : Lecture Notes in Computer Science, Volume 4310, 48--55, 2007, [http://www.springerlink.com/content/0110421l6018rlx4/].
J. Geiser: Domain-DecompositionMethods for Parabolic Problems in Multi- dimensions with error-estimates Special Issue: GAMM Annual Meeting 2006 - Berlin, Wiley Interscience, Pamm, Vol. 6, Iss. 1 , 739--740, published 2007.
J. Geiser, S. Sun: Multiscale Discontinuous Galerkin Methods for Modeling Flow and Transport in Porous Media Proceedings of the International Conference on Computational Sciences, Beijing, China, May 27-30, 2007, to appear in : Lecture Notes in Computer Science, Volume 4487, 890--897, 2007.
Ion Chryssoverghi, Juergen Geiser: Descent-Penalty Methods for Nonlinear Elliptic Relaxed Optimal Control Problems Proceedings of the 6th International Conference on Large-Scale Scientific Computations, Sozopol, Bulgaria, June 5-9, 2007.
J. Geiser: Discretisation Methods with embedded analytical solutions for convection dominated transport in porous media, Numerical Analysis and Applications, June 29 - July 3, Rousse, Bulgaria, 2004. [lecture_naa04.pdf].
J. Geiser: WIAS-HiTNIHS: Software-tool for simulation in crystal
growth for SiC single crystal : Application and Methods,
The International Congress of Nanotechnology and Nano, November 7-11,
San Francisco, USA, 2004.
[lecture_ianano04.pdf].
J. Geiser: Mixed Discretisation Methods for Convection-
Diffusion-Reaction-Equations with Analytical-Test-Functions,
SIAM Conference on Analysis of Partial Differential Equations
(PD04), December 6-8, Houston, USA, 2004.
[lecture_siam04.pdf].
J. Geiser, Mixed Discretisation Methods for Discontinuous Galerkin Methods with Analytical Test-functions, IMA, Minneapolis, USA, 2004. [mixed04.pdf]
J. Geiser, Overlapping Operator-Splitting Methods and Applications to Stiff Differential Equations, 6 th International Congress on Industrial and Applied Mathematics, 16 - 20 July, 2007, Zurich, Switzerland. [poster_1.pdf]
J. Geiser, P. Beckhaus. Es fliesst etwas, das ist sehr klein-Simulation der Nanobeschichtung metallischer Bipolarplatten, MIID 2008, 26.-28.10.08, Landschaftspark, Duisburg, Germany. [poster09.pdf]
Discretization Methods with Finite Volumes, Discontinuous Galerkin Methods and the Application in Porous Media. Third M.I.T Conference on Computational Fluid and Solid Mechanics, June 14-17, 2005 at the Massachusetts Institute of Technology, Cambridge, USA.
Own Lectures in this Minisymposium :
Modified Discretization methods with embedded analytical Solutions
based on Finite Volume and Discontinuous Galerkin Methods and
Applications in Porous Media, MIT, Boston, USA, 2005.
[discret_mit_05.pdf]
Operator Splitting Methods for Transport Equations
with Nonlinear Reactions, MIT, Boston, USA, 2005.
[operator_mit_05.pdf]
Discretisation Methods for Nonlinear Elliptic Optimal Control Problems,
MIT, Boston, USA, 2005.
[optim_mit_05.pdf]
Complex Models in Solid and Fluid Mechanics : Methods and Applications in Multi-physical and Multi-scaling Problems. US National Congress on Computational Mechanics, July 24-28, 2005, University of Texas at Austin, USA.
Own Lectures in this Minisymposium :
Discretisation and Solver Methods for
Hyperbolic- and Parabolic-Equations based on Operator-Splitting and
Finite-Volume-Methods : Theory and Applications in
Fluid and Gas-Mechanics, USNCCM8, Austin, USA, 2005.
[discret_aust05.pdf]
Discretization Methods for Nonlinear
Parabolic Optimal Control Problem, USNCCM8, Austin, USA, 2005.
[crystal_aust05.pdf]
Numerical Simulations of Sublimation Growth for SiC single Crystal :
Anisotropy Materials, Radiation and Transient Heat Transfer,
USNCCM8, Austin, USA, 2005.
[optim_aust05.pdf]
Minisymposium Proposal (NR . IC/MP/043/S/4) :
Extended Splitting methods for Partial Differential
Equations : Theory and Application.
Minisymposium Proposal (NR . IC/MP/025/S/37): Modeling and Numerical Methods
for Multi-dimensional and Multi-physical problems.
ICIAM07, International Congress on Industrial and applied
Mathematics, 16-20 July, 2007,
University and ETH Zurich Switzerland.
UG-School, Presentation of the Software-toolbox UG. University of Austin, 2004.
Partial Differential Equations,
Lecture : Discretisation-Methods
and Solver-methods for Parabolic Partial Differential Equations.
Humboldt University, Berlin, Germany,
Start : Fall-semester 2005/2006.
Computational Partial Differential Equations II,
Lecture : Finite Volume methods and Multi-grid methods.
(Together with S. Bartels and C. Carstensen)
Humboldt University, Berlin, Germany,
Start : Sommer-semester 2006.
Mathematics for computer scientists,
Lecture : Nonlinear Algebra and linear Algebra.
(Together with A. Griewank)
Humboldt University, Berlin, Germany,
Start : Winter-Semester 2006/2007.
Computational Partial Differential Equations I,
Lecture : Finite Difference methods, Finite Element Methods,
Adaptive methods and Finite Volume methods.
Humboldt University, Berlin, Germany,
Start : Winter-Semester 2006/2007.
Partial Differential Equations: Theory and Applications,
Seminar : Numerical Analysis, Modelling and Simulations.
Humboldt University, Berlin, Germany,
Start : Sommer-Semester 2007.
Ordinary and Partial Differential Equations,
Lecture: Modelling and Simulation of Real-Life Problems.
Humboldt University, Berlin, Germany,
Start : Winter-Semester 2008.
Series: Groundwater Modelling, Management and Contamination,
Nova Science Publishers, Inc. New York :
Discretization and Simulation of Systems for
Convection-Diffusion-Dispersion Reactions with Applications
in Groundwater Contamination,
Monograph, 2008, ISBN: 978-1-60456-612-3
Series: Groundwater Modelling, Management and Contamination,
Nova Science Publishers, Inc. New York :
Models and Simulation of deposition processes with
CVD apparatus,
Monograph, 2009, ISBN: 978-1-60692-325-2
Nova Science Publisher :
Decomposition Methods in MultiPhysics and Multiscale Problems,
Monograph, accepted, to be published Summer 2009.
CRC Press, Taylor and Francis Group :
Decomposition Methods for Differential Equations: Theory and Applications, Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series, edited by Magoules and Lai, 2009.
Stipendium for a Visiting Professor at College-Station, Invitation from Dr. Richard Ewing, ISC, Texas A & M University (February-May 2004)
Offer for a Research Collaboration at University of Rousse, Bulgaria,
Invitation from Prof. L. Vulkov,
(annual program for 2006 in porous media)
Habiltiation-Stipendium of the Kalkhofen-Rose-Stiftung,
Accademie of literature and science, Mainz, Germany,
(annual program for 1.1.2007-31.12.2007)
Research position of the BMBF-Project, Research Center Juelich (PtJ),
Germany,
Project: Metal-BiP, Nanocoating Metallic Bipolar Plate For PEFC,
(Research Program for 01.07.2007 - 30.06.2010)
SIAM, Society for Industrial and Applied Mathematics, Academic Membership, (since September 2004)
IANT, International Association of Nanotechnology, Academic Membership, (since November 2004)
AMS, American Mathematical Society, Academic Membership, (since November 2006)
BMS, Berlin Mathematical School, Junior Faculty Member, (since September 2009)
Nova Science Publishers, Inc. New York, USA
Editor for the Series:
Groundwater Modelling, Management and Contamination,
Elsevier, North Holland,
Referee for the Journals:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
COMPUTER AND STRUCTRUES
Begell House Inc., Redding, USA
Referee for the Journals:
Journal of Porous Media
International Journal of Computer Mathemtics, Taylor and Francis, UK
Referee since 2007.
Section B: Computer Mathematics: Application,
Journal of Electrochemical Society, Pennington, New Jersey, USA
Referee since 2008.
Section: Modelling and Simulations,
Mathematical Reviews, Ann Arbor, MI, USA
Reviewer since 2008.
Section: Numerical Analysis,