Professor Dr. Kunibert G. Siebert
Institut für Angewandte Analysis und Numerische Simulation (IANS)Numerische Mathematik für Höchstleistungsrechner (NMH)
Fakultät für Mathematik und Physik
Universität Stuttgart
Pfaffenwaldring 57
D-70569 Stuttgart
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Büro: | 7.157 |
| Telefon: | +49 (0) 711 - 685 62040 | ||
| Fax | +49 (0) 711 - 685 65507 | ||
| E-mail: | kg.siebert(at)ians.uni-stuttgart.de | ||
| Sprechstunde: | Mittwoch 13-14 Uhr |
Projekte
- Parallel-Adaptive Open Source Software für Diffusions dominierte Multi-Feld Prozesse
- Adaptive Finite Elemente für Parabolische Partielle Differentialgleichungen
- Konvergenz und Optimalität von adaptiven Finiten Elementen für Elliptische Partielle Differenzialgleichungen
- Entwicklung und Analyse von Adaptiven Finite Elemente Diskretisierungen für Optimalsteuerungsprobleme
- Entwicklung und Implementierung von Adaptiver Finite Elemete Software
- Verallgemeinerte Newtonsche und elektrorheologische Fluide
- Numerische Methoden für Flüssigkeiten mit vielen freien kapillaren Grenzen
Veröffentlichungen
C. Kreuzer, C.A. Möller, A. Schmidt, K.G. Siebert:
Design and Convergence Analysis for an Adaptive Discretization of the Heat Equation
IMA Journal of Numerical Analysis (January 2012), doi:10.1093/imanum/drr026 (Online First)
<internet service provider>K.G. Siebert:
Mathematically Founded Design of Adaptive Finite Element Software
pages 227-309 (73) in: Multiscale and Adaptivity: Modelling, Numerics and Applications, Lecture Notes in Mathematics vol. 2040, Springer, Berlin, 2012
<internet service provider>K. Kohls, A. Rösch, K.G. Siebert:
A Posteriori Error Estimators for Control Constrained Optimal Control Problems
pages 431-443 (13) in: Leugering et al (Eds): Constrained Optimization and Optimal Control for Partial Differential Equations, International Series of Numerical Mathematics 160, Springer, 2012.
<internet service provider>K.G. Siebert:
A Convergence Proof for Adaptive Finite Elements without Lower Bound
IMA Journal of Numerical Analysis (2011) 31 (3), pages 947-970 (24)
<internet service provider>C. Kreuzer, K.G. Siebert:
Decay Rates of Adaptive Finite Elements with Dörfler Marking
Numerische Mathematik, Springer, Volume 117, Issue 4, March 2011, pages 679-716 (38)
<internet service provider>R.H. Nochetto, K.G. Siebert, A. Veeser:
Theory of Adaptive Finite Element Methods: An Introduction
pages 409-542 (34) in: R.A. DeVore, A. Kunoth (Eds.): Multiscale, Nonlinear and Adaptive Approximation, Springer, 2009
<internet service provider>J.M. Cascon, C. Kreuzer, R.H. Nochetto, K.G. Siebert:
Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
SIAM Journal on Numerical Analysis, SIAM, Volume 46, Issue 5, June 2008, pages 2524-2550 (27)
<internet service provider>D. Köster, O. Kriessl, K.G. Siebert:
Design of Finite Element Tools for Coupled Surface and Volume Meshes
Numerical Mathematics: Theory, Methods and Applications, Volume 1, Issue 3, 2008, pages 245-274 (30)
<internet service provider>H. Antil, A. Gantner, R.H.W. Hoppe, D. Köster, K.G. Siebert, A. Wixforth:
Modeling and Simulation of Piezoelectrically Agitated Acoustic Streaming on Microfluidic Biochips
pages 305-312 (8) in: Langer et al. (Eds.): Domain Decomposition Methods in Science and Engineering XVII, Lecture Notes in Computational Science and Engineering - Volume 60, Springer, 2008
<internet service provider>P. Morin, K.G. Siebert, A. Veeser:
Basic Convergence Results for Conforming Adaptive Finite Elements
Proceedings in Applied Mathematics and Mechanics, WILEY-VCH Verlag, Volume 7, Issue 1, December 2008, pages 1026001-1026002 (1)
<internet service provider>K.G. Siebert, A. Veeser:
A Unilaterally Constrained Quadratic Minimization with Adaptive Finite Elements
SIAM Journal on Optimization, SIAM, Volume 18, Issue 1, April 2007, pages 260-289 (30)
<internet service provider>J.M. Cascon, R.H. Nocchetto, K.G. Siebert:
Design and Convergence of AFEM in H(div)
Mathematical Models & Methods in Applied Sciences, World Scientific, Volume 17, Issue 11, 2007, pages 1849-1881 (33)
<internet service provider>P. Morin, K.G. Siebert, A. Veeser:
Convergence of Finite Elements Adapted for Weaker Norms
pages 468-479 (12) in: V. Cutello, G. Fotia, L. Puccio (Eds.): Applied and Industrial Mathematics in Italy - II, Selected Contributions from the 8th SIMAI Conference, 2007
<internet service provider>A. Ganter, R.H.W. Hoppe, D. Köster, K.G. Siebert, A. Wixforth:
Numerical Simulation of Piezoelectrically Agitated Surface Acoustic Waves on Microfluidic Biochips
Computing and Visualization in Science, Springer, Volume 10, Issue 3, September 2007, pages 145-161 (17)
<internet service provider>R.H. Nochetto, A. Schmidt, K.G. Siebert, A. Veeser:
Pointwise A Posteriori Error Estimates for Monotone Semi-linear Equations
Numerische Mathematik, Springer, Volume 104, Issue 4, October 2006, pages 515-538 (24)
<internet service provider>A. Schmidt, K.G. Siebert:
Design of Adaptive Finite Element Software - The Finite Element Toolbox ALBERTA
Lecture Notes in Computational Science and Engineering - Volume 42, Springer, March 2005,
ISBN-10: 3-54022-842-X, ISBN-13: 978-3-540-22842-4
<internet service provider> <ALBERTA Homepage>K.G. Siebert, A. Veeser:
Convergence of the Equidistribution Strategy
pages 2129-2131 (3) of the Mini-Workshop: Convergence of Adaptive Algorithms
organized by Mark Ainsworth, Carsten Carstensen and Willy Dörfler
Oberwolfach reports, Volume 2, Issue 3, 2005, pages 2091-2138 (48)
<internet service provider>R.H. Nochetto, K.G. Siebert, A. Veeser:
Fully Localized A Posteriori Error Estimators and Barrier Sets for Contact Problems
SIAM Journal on Numerical Analysis, SIAM, Volume 42, Issue 5, 2005, pages 2118-2135 (18)
<internet service provider>A. Bamberger, E. Bänsch, K.G. Siebert:
Experimental and Numerical Investigation of Edge Tones
Journal of Applied Mathematics and Mechanics, WILEY-VCH Verlag, Volume 84, Issue 9, July 2004,
pages 632-646 (15)
<internet service provider>W. Dörfler, K.G. Siebert:
An Adaptive Finite Element Method for Minimal Surfaces
pages 146-175 (30) in: S. Hildebrandt, H. Karcher (Eds.): Geometric Analysis and Nonlinear Partial Differential
Equations, Springer, December 2003,
ISBN-10: 3-54044-051-8, ISBN-13: 978-3-540-44051-2
<internet service provider>R. H. Nochetto, K.G. Siebert, A. Veeser:
Pointwise A Posteriori Error Control for Elliptic Obstacle Problems
Numerische Mathematik, Springer, Volume 95, Number 1, July 2003, pages 163-195 (33)
<internet service provider>B. Haasdonk, M. Ohlberger, M. Rumpf, A. Schmidt, K.G. Siebert:
Multiresolution Visualization of Higher Order Adaptive Finite Element Simulations
Computing, Springer, Volume 70,Issue 3, June 2003, pages 181-204 (23)
<internet service provider>P. Morin, R.H. Nochetto, K.G. Siebert:
Local Problems on Stars: A Posteriori Error Estimators, Convergence, and Performance
Mathematics of Computation, American Mathematical Society, Volume 72, Issue 243, July 2003, pages 1067-1097 (33)
<internet service provider>S. Boschert, A. Schmidt, K.G. Siebert, E. Bänsch, K.W. Benz, G. Dziuk, T. Kaiser:
Simulation of Industrial Crystal Growth by the Vertical Bridgman Method
pages 315-330 (16) in: W. Jäger and H.-J. Krebs (Eds.): Mathematics - Key Technology for the Future Joint Projects Between Universities and Industry, Springer, 1. edition, June 2003,
ISBN-10: 3-54044-220-0, ISBN-13: 978-3-540-44220-2
<internet service provider>P. Morin, R.H. Nochetto, K.G. Siebert:
Convergence of Adaptive Finite Element Methods
SIAM Review, SIAM, Volume 44, Issue 4, 2002, pages 631-658 (28)
<internet service provider>K.-M. Lin, S. Boschert, P. Dold, K.W. Benz, O. Kriessl, A. Schmidt, K.G. Siebert, G. Dziuk:
Numerical Methods for Industrial Bridgman Growth of (Cd,Zn)Te
Journal of Crystal Growth, Elsevier Science, Volumes 237-239, Teil 3, April 2002, pages 1736-1740 (5)
<internet service provider>A. Schmidt, K.G. Siebert:
ALBERT - Software for Scientific Computations and Applications
Acta Mathematica Universitatis Comenianae, Volume 70, Issue 1, 2001, pages 105-122 (18)
<internet service provider> <ALBERTA Homepage>P. Morin, R.H. Nochetto, K.G. Siebert:
Data Oscillation and Convergence of Adaptive FEM
SIAM Journal on Numerical Analysis, SIAM, Volume 38, Issue 2, 2000, pages 466-488 (23)
<internet service provider>K. Deckelnick, K.G. Siebert:
W1,∞-Convergence of the Discrete Free Boundary for Obstacle Problems
IMA Journal of Numerical Analysis, IMA, Volume 20, Issue 3, 2000, pages 481-498 (18)
<internet service provider>A. Schmidt, K.G. Siebert:
A Posteriori Estimators for the h-p Version of the Finite Element Method in 1d
Applied Numerical Mathematics, Elsevier Science, Volume 35, Issue 1, September 2000, pages 43-66 (24)
<internet service provider>S. Boschert, A. Schmidt, K.G. Siebert:
Numerical Simulation of Crystal Growth by the Vertical Bridgman Method.
pages 61-96 (36) in: J.S. Szmyd, K. Suzuki (Eds.): Modelling of Transport Phenomena in Crystal Growth, Development in Heat Transfer Series - Volume 6, WIT Press, 2000
ISBN-10: 1-85312-735-3, ISBN-13: 978-1-853-12735-9
<internet service provider>A. Schmidt, K.G. Siebert:
Abstract Data Structures for a Finite Element Package: Design Principles of ALBERT
Journal of Applied Mathematics and Mechanics, WILEY-VCH Verlag, Volume 79, Supplement 1, 1999,
pages 49-52 (3)
<ALBERTA Homepage>S. Boschert, T. Kaiser, A. Schmidt, K.G. Siebert, K.W. Benz, G. Dziuk:
Global Simulation of (Cd,Zn)Te Single Crystal Growth by the Vertical Bridgman Technique
In: Modeling and Simulation Based Engineering, S.N. Atluri and P.E. O'Donoghue (Eds.), Tech Science Press, Palmdale, 1998
<internet service provider>K.G. Siebert:
Einführung in die numerische Behandlung der Navier-Stokes-Gleichungen
Manuskript, Freiburg, 1998, 42 pages
<Abstract (german)>K.G. Siebert:
An A Posteriori Error Estimator for Anisotropic Refinement
Numerische Mathematik, Springer, Volume 73, Issue 3, May 1996, pages 373-398 (26)
<internet service provider>M. Rumpf, A. Schmidt, K.G. Siebert:
Functions Defining Arbitrary Meshes - A Flexible Interface Between Numerical Data and Visualization Routines
Computer Graphics Forum 15 (1996), 129-141.
<internet service provider>A. Schmidt, K.G. Siebert:
Numerical Aspects of Parabolic Free Boundary Problems - Adaptive Finite Element Methods.
Lecture Notes, 1996, Manuscript, Freiburg/Jyväskylä
<Abstract>M. Rumpf, A. Schmidt, K.G. Siebert:
On a Unified Visualization Approach for Data from Advanced Numerical Methods
pages 35-44 (10) in: R. Scateni, J. Van Wijk, P. Zanarini (Eds.): Visualization in Scientific Computing '95, Springer, August 1995, ISBN-10: 3-21182-729-3, ISBN-13: 978-3-211-82729-1
<internet service provider>A. Schmidt, K.G. Siebert:
Concepts of the Finite Element Toolbox ALBERT
Freiburg, Preprint 17, 1998, 12 pages
<internet service provider> <ALBERTA Homepage>E. Bänsch, K.G. Siebert:
A Posteriori Error Estimation for Nonlinear Problems by Duality Techniques
Freiburg, Preprint 30/1995
<Abstract>K.G. Siebert:
Local Refinement of 3D-Meshes Consisting of Prisms and Conforming Closure
IMPACT of Computing in Science and Engineering, Academic Press, Volume 5, Numer 4, December 1993,
pages 271-284 (14)
<internet service provider>K.G. Siebert:
An A Posteriori Error Estimator for Anisotropic Refinement
Dissertation, 54 pages, Freiburg, 1993K.G. Siebert:
Ein Finite-Elemente-Verfahren zur Lösung der inkompressiblen Euler-Gleichungen auf der Sphäre mit der Stromlinien-Diffusions-Methode
Diplomathesis, 47 pages, Bonn, 1990