Research Group of Prof. Dr. M. Griebel
Institute for Numerical Simulation
maximize

Prof. Dr. Gerhard Zumbusch

See also: http://www.minet.uni-jena.de/~zumbusch
URL: http://wissrech.ins.uni-bonn.de/people/zumbusch.html

Former member of the institute

Now at Friedrich-Schiller-Universität Jena (http://www.uni-jena.de/)

Teaching

Publications

Monographs, expositions:

[1] M. Griebel, S. Knapek, and G. Zumbusch. Numerical Simulation in Molecular Dynamics. Springer, Berlin, Heidelberg, 2007.
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[2] M. Griebel, S. Knapek, G. Zumbusch, and A. Caglar. Numerische Simulation in der Moleküldynamik. Numerik, Algorithmen, Parallelisierung, Anwendungen. Springer, Berlin, Heidelberg, 2003.
bib | Cover | springer.de | amazon.de | http ]
[3] G. Zumbusch. Parallel Multilevel Methods. Adaptive Mesh Refinement and Loadbalancing. Teubner, 2003.
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[4] M. Griebel, F. Kiefer, and G. Zumbusch. Vorgänge möglichst realitätsnah simulieren. Wissenschaftliches Rechnen als neue Dimension in der Forschung. Bonner Universitätsnachrichten, 217:48-49, January 2000. also as `Simulating Processes as Realistically as Possible', Bonn University News International (BUNI), 7:28-29, November 2000.
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[5] M. Griebel and G. W. Zumbusch. Preface. Computing, 64(4):287, 2000. (guest editors) special issue multigrid methods.
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[6] G. W. Zumbusch. Simultanous h-p Adaptation in Multilevel Finite Elements. ISBN 3-8265-1136-0. Shaker, Aachen, Germany, 1996.
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Refereed journals, refereed proceedings:

[1] G. W. Zumbusch. On the quality of space-filling curve induced partitions. Z. Angew. Math. Mech., 81:25-28, 2001. Suppl. 1, also as report SFB 256, University Bonn, no. 674, 2000.
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[2] M. Griebel and G. W. Zumbusch. Parallel adaptive subspace correction schemes with applications to elasticity. Computer Methods in Applied Mechanics and Engineering, 184:303-332, 2000.
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[3] R. Hochmuth, S. Knapek, and G. Zumbusch. Tensor products of Sobolev spaces and applications. submitted, 2000. also as Technical Report 685, SFB 256, Univ. Bonn.
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[4] G. W. Zumbusch. A sparse grid PDE solver. In H. P. Langtangen, A. M. Bruaset, and E. Quak, editors, Advances in Software Tools for Scientific Computing, volume 10 of Lecture Notes in Computational Science and Engineering, chapter 4, pages 133-177. Springer, Berlin, Germany, 2000. (Proceedings SciTools '98).
bib | Zentralblatt Math | .ps.gz 1 | .pdf 1 | Abstract ]
[5] A. Caglar, M. Griebel, M. A. Schweitzer, and G. Zumbusch. Dynamic load-balancing of hierarchical tree algorithms on a cluster of multiprocessor PCs and on the Cray T3E. In H. W. Meuer, editor, Proceedings 14th Supercomputer Conference, Mannheim, ISBN 3-932178-08-4, Mannheim, Germany, 1999. Mateo. SuParCup '99 Award Winning Paper, also as SFB 256 report 27.
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[6] M. Griebel and G. W. Zumbusch. Parallel multigrid in an adaptive PDE solver based on hashing and space-filling curves. Parallel Computing, 25:827-843, 1999.
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[7] M. Griebel and G. W. Zumbusch. Adaptive sparse grids for hyperbolic conservation laws. In M. Fey and R. Jeltsch, editors, Hyperbolic Problems: Theory, Numerics, Applications. 7th International Conference in Zürich, February 1998, volume 1 of International Series of Numerical Mathematics 129, pages 411-422, Basel, Switzerland, 1999. Birkhäuser.
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[8] G. Zumbusch. Dynamic loadbalancing in a lightweight adaptive parallel multigrid PDE solver. In B. Hendrickson, K. Yelick, C. Bischof, I. Duff, A. Edelman, G. Geist, M. Heath, M. Heroux, C. Koelbel, R. Schrieber, R. Sinovec, and M. Wheeler, editors, Proceedings of 9th SIAM Conference on Parallel Processing for Scientific Computing (PP 99), San Antonio, Texas, ISBN 0-89871-435-4, page 10, Philadelphia, PA, 1999. SIAM.
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[9] G. W. Zumbusch. A parallel adaptive multigrid method. In W. Hackbusch and S. Sauter, editors, Proceedings of the 15th GAMM-Seminar Kiel on Numerical Techniques for Composite Materials, Notes on Numerical Fluid Mechanics, Wiesbaden, Germany, 1999. Vieweg. submitted.
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[10] A. M. Bruaset, H. P. Langtangen, and G. W. Zumbusch. Domain decomposition and multilevel methods in Diffpack. In P. E. Bjørstad, M. S. Espedal, and D. E. Keyes, editors, Proceedings of Domain Decomposition Methods 9, DD9, pages 655-662, Bergen, Norway, 1998. Domain Decomposition Press. also as report STF42 F96017, Sintef Applied Mathematics, Oslo, 1996.
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[11] M. Griebel and G. W. Zumbusch. Hash-storage techniques for adaptive multilevel solvers and their domain decomposition parallelization. In J. Mandel, C. Farhat, and X.-C. Cai, editors, Proceedings of Domain Decomposition Methods 10, DD10 (1997), number 218 in Contemporary Mathematics, pages 271-278, Providence, Rhode Island, 1998. AMS.
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[12] M. Griebel and G. W. Zumbusch. Parallel multigrid in an adaptive PDE solver based on hashing. In E. D'Hollander, G. Joubert, F. Peters, and U. Trottenberg, editors, Parallel Computing: Fundamentals, Applications and New Directions, number 12 in Advances in Parallel Computing, pages 589-600, Amsterdam, The Netherlands, 1998. Elsevier. Proceedings of ParCo 97, Bonn, Germany.
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[13] T. Schiekofer and G. W. Zumbusch. Software concepts of a sparse grid finite difference code. In W. Hackbusch and G. Wittum, editors, Proceedings of the 14th GAMM-Seminar Kiel on Concepts of Numerical Software, Notes on Numerical Fluid Mechanics, page 11, Wiesbaden, Germany, 1998. Vieweg. submitted.
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[14] G. W. Zumbusch. Symmetric hierarchical polynomials and the adaptive h-p-version. Houston Journal of Mathematics, pages 529-540, 1996. Proceedings of the Third International Conference on Spectral and High Order Methods, ICOSAHOM'95, also as report SC-95-18 ZIB, Berlin.
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[15] G. W. Zumbusch. Adaptive h-p approximation procedures, graded meshes and anisotropic refinement for numerical quadrature. In F. Brezzi, J. Periaux, R. Glowinski, R. Rannacher, and Y. Kuznetsov, editors, Proceedings of The First European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 95, page 12, 1995. accepted, also as report SC-95-24 ZIB, Berlin.
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Unrefereed proceedings, technical reports:

[1] M. Griebel and G. Zumbusch. Hash based adaptive parallel multilevel methods with space-filling curves. In H. Rollnik and D. Wolf, editors, NIC Symposium 2001, volume 9 of NIC Series, ISBN 3-00-009055-X, pages 479-492, Germany, 2002. Forschungszentrum Jülich.
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[2] G. Zumbusch. Load balancing for adaptively refined grids. Technical Report 722, SFB 256, University Bonn, 2001.
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[3] G. W. Zumbusch. Parallel adaptively refined sparse grids. In E. Dick, K. Riemslagh, and J. Vierendeels, editors, Multigrid Methods VI, volume 14 of Lecture Notes in Computational Science and Engineering, pages 285-292. Springer, Berlin, Germany, 2000. (Proceedings EMG 6).
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[4] M. A. Schweitzer, G. W. Zumbusch, and M. Griebel. Parnass2: A cluster of dual-processor PCs. In W. Rehm and T. Ungerer, editors, Proceedings of the 2nd Workshop Cluster-Computing, Karlsruhe, number CSR-99-02 in Chemnitzer Informatik Berichte, pages 45-54, Chemnitz, Germany, 1999. TU Chemnitz.
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[5] A. M. Bruaset, X. Cai, H. P. Langtangen, G. T. Lines, K. Samuelsson, W. Shen, A. Tveito, and G. W. Zumbusch. CPU-measurements of some numerical PDE-applications. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1997.
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[6] M. Griebel and G. W. Zumbusch. Parnass: Porting gigabit-LAN components to a workstation cluster. In W. Rehm, editor, Proceedings of the 1st Workshop Cluster-Computing, number CSR-97-05 in Chemnitzer Informatik Berichte, pages 101-124, Chemnitz, Germany, 1997. TU Chemnitz. also as Techn. Report No 19, SFB 256, Univ. Bonn.
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[7] M. Korzen, R. Schriever, K.-U. Ziener, O. Paetsch, and G. W. Zumbusch. Real-time 3-d visualization of surface temperature fields measured by thermocouples on steel structures in fire engineering. In J. Ziebs, J. Bressers, H. Frenz, D. R. Hayhurst, H. Klingelhöffer, and S. Forest, editors, Proceedings of International Symposium Local Strain and Temperature Measurements in Non-Uniform Fields at Elevated Temperatures, pages 253-262, Camridge, UK, 1996. Woodhead Pub.
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[8] G. W. Zumbusch. Multigrid methods in Diffpack. Technical Report STF42 F96016, Sintef Applied Mathematics, Oslo, Norway, 1996.
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[9] G. W. Zumbusch. Overlapping domain decomposition methods in Diffpack. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996.
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[10] G. W. Zumbusch. Schur complement domain decomposition methods in Diffpack. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996.
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[11] G. W. Zumbusch. Multigrid applied to different partial differential operators. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996.
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[12] G. W. Zumbusch. Multigrid on different grids. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996.
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[13] G. W. Zumbusch. Multigrid for different finite difference equations. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996.
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[14] G. W. Zumbusch. Multigrid methods for finite differences. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996.
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[15] Å. Ødegård and G. W. Zumbusch. Graphview - en java og cgi-pakke for 3d grafikk. Technical Report 9, Sintef Applied Mathematics, Oslo, Norway, 1996. STIM working notes.
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[16] C. Schütte, M. Dinand, G. W. Zumbusch, and R. Brinkmann. Dynamics of Erbium-doped waveguide lasers: Modelling, reliable simulation, and comparison with experiments. Technical Report SC-95-19, Konrad-Zuse-Zentrum, Berlin, Germany, 1995.
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[17] G. W. Zumbusch. Visualizing functions of the h-p-version of finite elements. Technical Report TR-94-05, Konrad-Zuse-Zentrum, Berlin, Germany, 1994.
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[18] G. W. Zumbusch. Symmetric hierarchical polynomials for the h-p-version of finite elements. Technical Report SC-93-32, Konrad-Zuse-Zentrum, Berlin, Germany, 1993.
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[19] G. W. Zumbusch. Adaptive parallele Multilevel-Methoden zur Lösung elliptischer Randwertprobleme. Technical Report 342/19/91 A, SFB 342, TU München, Munich, Germany, 1991.
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Theses:

[1] G. W. Zumbusch. Adaptive Parallel Multilevel Methods for Partial Differential Equations. Habilitation, Universität Bonn, 2001.
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[2] G. W. Zumbusch. Simultanous h-p Adaptation in Multilevel Finite Elements. Dissertation, Fachbereich Mathematik und Informatik, FU Berlin, 1995.
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[3] G. W. Zumbusch. Adaptive parallele Multilevel-Methoden zur Lösung elliptischer Randwertprobleme. Diplomarbeit, Mathematisches Institut, TU München, Munich, Germany, 1992.
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Talks

Conference contributions

[1] Parallel adaptive multigrid,
GAMM Jahrestagung 2001, Zürich, Switzerland, February 12-15, 2001.
[2] PARNASS - der Selfmade Supercomputer, der es in die TOP500 schaffte,
Supercomputer 2000, Mannheim, Germany, June 8-10, 2000.
[3] Adaptive grid refinement and parallel load balancing in elasticity.,
GAMM Jahrestagung, Göttingen, Germany, April 2-7, 2000.
[4] Why did we build Europe's fastest Linux system?,
WGCC'2000 - International Workshop on Global and Cluster Computing, Tsukuba, Japan, March 15-17, 2000.
[5] Multiskalen-Moleküldynamik und Krustenfluide,
Gigabit Testbed West, Abschlußkolloquium, Jülich, Germany, January 31 - February 1, 2000.
[6] Wie baut man einen Parallelrechner für numerische Simulationen?,
Workshop Paralleles Rechnen, Freiburg, Germany, November 2-3, 1999.
[7] Parallel multigrid and adaptively refined grids.,
Sixth European Multigrid Conference, Gent, Belgium, September 27-30, 1999.
[8] The cluster computer Parnass2,
NEC/SCAI-Workshop PC Clusters for Scientific and Industrial Applications, St. Augustin, Germany, September 14-15, 1999.
[9] Parallel adaptive multigrid,
ENUMATH 99, Jyväskylä, Finland, July 26-30, 1999.
[10] Dynamic load-balancing of hierarchical tree algorithms on a cluster of multiprocessor PCs and on the Cray T3E,
Supercomputer-Tage 1999, Mannheim, Germany, June 10-15, 1999.
[11] Parallelization of an Adaptive Multilevel Code Using Keys and a Space-Filling Curve,
Ninth Copper Mountain Conference on Multigrid Methods, Copper Mountain, USA, April 11-16, 1999.
[12] Dynamic Load balancing in a lightweight adaptive parallel multigrid PDE solver,
PP99 - Ninth SIAM Conference on Parallel Processing for Scientific Computing, San Antonio, USA, March 22-24, 1999.
[13] A parallel adaptive multigrid method,
15th GAMM-Seminar on Numerical Techniques for Composite Materials, Kiel, Germany, January 22-24, 1999.
[14] Key Based multigrid on adaptive grids,
10th GAMM-Workshop on Multigrid Methods, Bonn, Germany, October 5-8, 1998.
[15] Software tools for sparse grids,
SciTools '98 - International Workshop on Modern Software Tools for Scientific Computing, Oslo, Norway, September 14-16, 1998.
[16] Parallele Lastverteilung und effiziente Speichertechniken für adaptive PDE Löser,
Chemnitzer FEM-Symposium, Chemnitz, Germany, September 7-9, 1998.
[17] Finite difference schemes on sparse grids for time dependent problems,
11th International Conference on Domain Decomposition Methods, Greenwich, UK, July 20-24, 1998.
[18] Adaptive sparse grids for hyperbolic conservation laws.,
Seventh International Conference on Hyperbolic Problems, Zurich, Switzerland, February 9-13, 1998.