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

Prof. Dr. Marc Alexander Schweitzer

Prof. Dr. Marc Alexander Schweitzer
Address: Institut für Numerische Simulation
Wegelerstr. 6
53115 Bonn
Germany
Office: We6 6.005
Phone: +49 228 7360461
Fax: +49 228 733979
E-Mail: schweitzer.ins.uni-bonn.de
URL: http://schweitzer.ins.uni-bonn.de/people/schweitzer.html

Research Interests

Research Projects

Cluster of Excellence: Hausdorff Center for Mathematics
Project Area J: High-dimensional problems and multi-scale methods
High-Performance Parallel Computing
Parallel Algebraic Multigrid
Cooperation with Lawrence Livermore National Laboratory, Center for Applied Scientific Computing, Scalable Linear Solvers Project
Parallel Partition of Unity Methods

Completed Research Projects

SFB 611: Singular phenomena and scaling in mathematical models
Project C6: Coupled Microscale Simulation of Nonlinear Processes in Structural Mechanics
SFB 611: Singular phenomena and scaling in mathematical models
Project C4: Microscopic effects at fluid interfaces
SFB 611: Singular phenomena and scaling in mathematical models
Project C3: Numerical optimization of dynamical wetting processes

Teaching

Publications

Books:

[1] M. A. Schweitzer. A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations, volume 29 of Lecture Notes in Computational Science and Engineering. Springer, 2003.
bib | Cover | springer.de ]

Edited volumes:

[1] M. Griebel and M. A. Schweitzer, editors. Meshfree Methods for Partial Differential Equations V, volume 79 of Lecture Notes in Computational Science and Engineering. Springer, 2011.
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[2] J. Adelsberger, M. Griebel, and M. A. Schweitzer, editors. Report on the First Five Years. Institute for Numerical Simulation, University of Bonn, Germany, 2009. (Available on request).
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[3] M. Griebel and M. A. Schweitzer, editors. Meshfree Methods for Partial Differential Equations IV, volume 65 of Lecture Notes in Computational Science and Engineering. Springer, 2008.
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[4] M. Griebel and M. A. Schweitzer, editors. Meshfree Methods for Partial Differential Equations III, volume 57 of Lecture Notes in Computational Science and Engineering. Springer, 2006.
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[5] M. Griebel and M. A. Schweitzer, editors. Meshfree Methods for Partial Differential Equations II, volume 43 of Lecture Notes in Computational Science and Engineering. Springer, 2005.
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[6] M. Griebel and M. A. Schweitzer, editors. Meshfree Methods for Partial Differential Equations, volume 26 of Lecture Notes in Computational Science and Engineering. Springer, 2002.
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Articles:

[1] R. Croce, M. Griebel, and M. A. Schweitzer. Numerical simulation of bubble and droplet-deformation by a level set approach with surface tension in three dimensions. International Journal for Numerical Methods in Fluids, 62(9):963-993, 2009. Also available as SFB 611 Preprint no 431.
bib | DOI | .pdf 1 ]
[2] M. A. Schweitzer. An Algebraic Treatment of Essential Boundary Conditions in the Particle-Partition of Unity Method. SIAM Journal on Scientific Computing, 31(2):1581-1602, 2009.
bib | DOI | http | .pdf 1 ]
[3] M. Schweitzer. An adaptive hp-version of the multilevel particle-partition of unity method. Comput. Methods Appl. Mech. Engrg., 198:1260-1272, 2009.
bib | DOI | .pdf 1 ]
[4] M. Griebel, K. Scherer, and M. A. Schweitzer. Robust norm equivalencies for diffusion problems. Math. Comput., 76:1141-1161, 2007.
bib | .html | .pdf 1 ]
[5] M. Griebel, B. Metsch, D. Oeltz, and M. A. Schweitzer. Coarse grid classification: A parallel coarsening scheme for algebraic multigrid methods. Numerical Linear Algebra with Applications, 13(2-3):193-214, 2006. Also available as SFB 611 preprint No. 225, Universität Bonn, 2005.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[6] M. A. Schweitzer. Implementation and Parallelization of Meshfree Methods. In J. Blowey and A. Craig, editors, Frontiers in Numerical Analysis (Durham 2004), Universitext, pages 195-257. Springer, 2005.
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[7] U. Clarenz, M. Griebel, M. Rumpf, M. Schweitzer, and A. Telea. Feature sensitive multiscale editing on surfaces. The Visual Computer, (20):329-343, 2004. Also as Preprint No. 89, SFB 611, Universität Bonn, Germany.
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[8] M. Griebel, T. Preusser, M. Rumpf, M. A. Schweitzer, and A. Telea. Flow field clustering via algebraic multigrid. In Proceedings of the IEEE Visualization 2004, pages 35-42, 2004.
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[9] M. Griebel, D. Oeltz, and M. A. Schweitzer. An algebraic multigrid method for linear elasticity. SIAM J. Sci. Comp., 25(2):385-407, 2003.
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[10] M. Griebel and M. A. Schweitzer. A particle-partition of unity method-Part III: A multilevel solver. SIAM J. Sci. Comp., 24(2):377-409, 2002.
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[11] M. Griebel and M. A. Schweitzer. A particle-partition of unity method-Part II: Efficient cover construction and reliable integration. SIAM J. Sci. Comp., 23(5):1655-1682, 2002.
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[12] M. Griebel and M. A. Schweitzer. A particle-partition of unity method for the solution of elliptic, parabolic and hyperbolic PDE. SIAM J. Sci. Comp., 22(3):853-890, 2000. also as SFB Preprint 600, SFB 256, Institut für Angewandte Mathematik, Universität Bonn.
bib | .ps.gz 1 | Abstract ]

Series- and conference contributions:

[1] Michael Griebel, Bram Metsch, and Marc Alexander Schweitzer. Coarse grid classification: AMG on parallel computers. In Gernot Münster, Dietrich Wolf, and Manfred Kremer, editors, NIC Symposium 2008, volume 39 of NIC Series, pages 299-306, February 2008. Also available as SFB 611 preprint No. 368, Universität Bonn, 2008.
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[2] K. Fackeldey, R. Krause, and M. A. Schweitzer. Stability of Energy Transfer in the Weak Coupling Method, Meshfree Methods for Partial Differential Equations IV. In M. Griebel and M. A. Schweitzer, editors, Lecture Notes in Computational Science and Engineering, volume 65, pages 111-119. Springer, 2008.
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[3] M. A. Schweitzer. A Particle-Partition of Unity Method Part VIII: Hierarchical Enrichment. In M. Griebel and M. A. Schweitzer, editors, Lecture Notes in Computational Science and Engineering, volume 65, pages 277-299. Springer, 2008.
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[4] M. Griebel and M. A. Schweitzer. A particle-partition of unity method-Part VII: Adaptivity. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations III, volume 57 of Lecture Notes in Computational Science and Engineering. Springer, 2006.
bib | .ps.gz 1 | .pdf 1 ]
[5] M. Griebel, P. Oswald, and M. A. Schweitzer. A particle-partition of unity method-Part VI: A p-robust multilevel solver. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations II, volume 43 of Lecture Notes in Computational Science and Engineering, pages 71-92. Springer, 2005.
bib | .ps.gz 1 | .pdf 1 ]
[6] M. Griebel and M. A. Schweitzer. Particle-partition of unity methods in elasticity. In Proceedings of the International Conference on Computational Methods. Springer, 2005.
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[7] M. Griebel and M. A. Schweitzer. A particle-partition of unity method-Part V: Boundary conditions. In S. Hildebrandt and H. Karcher, editors, Geometric Analysis and Nonlinear Partial Differential Equations, pages 517-540. Springer, 2002.
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[8] M. Griebel and M. A. Schweitzer. A particle-partition of unity method-Part IV: Parallelization. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations, volume 26 of Lecture Notes in Computational Science and Engineering, pages 161-192. Springer, 2002.
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[9] 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.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[10] 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.
bib | .ps.gz 1 | .pdf 1 | Abstract ]

Technical reports:

[1] R. Croce, M. Griebel, and M. A. Schweitzer. Numerical simulation of droplet-deformation by a level set approach with surface tension. Preprint 395, Sonderforschungsbereich 611, Universität Bonn, Bonn, Germany, 2008.
bib | .pdf 1 ]
[2] M. A. Schweitzer. Stable Enrichment and Local Preconditioning in the Particle-Partition of Unity Method. Technical report, Sonderforschungsbereich 611, Rheinische Friedrich-Wilhelms-Universität Bonn, 2008. submitted.
bib | .pdf 1 ]
[3] M. Griebel, B. Metsch, and M. A. Schweitzer. Coarse grid classification-Part II: Automatic coarse grid agglomeration for parallel AMG. Preprint 271, Sonderforschungsbereich 611, Universität Bonn, 2006.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[4] R. Croce, M. Griebel, and M. A. Schweitzer. A parallel level-set approach for two-phase flow problems with surface tension in three space dimensions. Preprint 157, Sonderforschungsbereich 611, Universität Bonn, 2004.
bib | .pdf 1 ]
[5] M. Griebel, K. Scherer, and M. A. Schweitzer. Robust norm equivalencies and optimal preconditioners for diffusion problems. Preprint 154, Sonderforschungsbereich 611, Universität Bonn, 2004.
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Theses:

[1] M. A. Schweitzer. Meshfree and Generalized Finite Element Methods. Habilitation, Institute for Numerical Simulation, University of Bonn, 2008.
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[2] M. A. Schweitzer. A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations. Dissertation, Institut für Angewandte Mathematik, Universität Bonn, 2002.
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[3] M. A. Schweitzer. Ein Partikel-Galerkin-Verfahren mit Ansatzfunktionen der Partition of Unity Method. Diplomarbeit, Institut für Angewandte Mathematik, Universität Bonn, 1997.
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Awards

Talks

Conference contributions

[1] Numerical Simulation of Bubble and Droplet-Deformation by a Level Set Approach including Surface Tension,
Indo-German Conference on PDE, Scientific Computing and Optimization in Applications, Indian Institute of Technology, Kanpur, India, October 7-9, 2009.
[2] Stability and Local Preconditioning in Partition of Unity Methods,
USNCCM X - 10th US National Congress on Computational Mechanics, Columbus, Ohio, USA, July 16-19, 2009.
[3] Meshfree Multilevel Methods for Partial Differential Equations,
Colloquia on the Occasion of F. L. Bauer 85 Years - F. L. Bauer-Prize 2009 50 Years Numerische Mathematik, München, June 15-16, 2009.
[4] Particle-Partition of Unity Method - Hierarchical Enrichment & Conforming Boundary Treatment,
WCCM8 - 8th World Congress on Computational Mechanics, Venice, Italy, June 30 - July 3, 2008.
[5] Automatic hp-Refinement & Enrichment in the Particle-Partition of Unity Method,
Fourth International Workshop on Meshfree Methods for Partial Differential Equations, Bonn, Germany, September 17-20, 2007.
[6] Meshfree Methods for PDE - Multilevel Partition of Unity Method (Plenary lecture),
CMM 2007 - 17th International Conference on Computer Methods in Mechanics, Łódź-Spała, Poland, June 19-22, 2007.
[7] A Multilevel Enriched hp-Adaptive Partition of Unity Method,
International Workshop on High-Order Finite Element Methods, Herrsching, Germany, May 17-19, 2007.
[8] A Multilevel Enriched hp-Adaptive Partition of Unity Method,
International Conference on Computational Methods, Hiroshima, Japan, April 4-7, 2007.
[9] The Particle-Partition of Unity Method,
NMCD2006 - Numerical Methods for Computations on Complex Domains, Warwick, November 10-11, 2006.
[10] Adaptive Multilevel Techniques for Partition of Unity Methods,
NUMDIFF 11, Halle, Germany, September 4-8, 2006.
[11] Multilevel particle-partition of unity method - A p-robust solver,
8th European Multigrid Conference on Multigrid, Multilevel and Multiscale Methods, Scheveningen, Netherlands, September 27-30, 2005.
[12] Fast Solvers for Meshfree Methods,
Third International Workshop on Meshfree Methods for Partial Differential Equations, Bonn, Germany, September 12-15, 2005.
[13] Multilevel Solvers for Partition of Unity Methods,
Schnelle Löser für partielle Differentialgleichungen, Oberwolfach, Germany, May 22-28, 2005.
[14] Multilevel Solvers for Partition of Unity Methods,
Workshop on Meshless Methods, Generalized Finite Element Methods, and Related Approaches, College Park, Maryland, USA, March 11-13, 2005.
[15] Particle-Partition of Unity Methods in Elasticity,
ICCM 2004 - International Conference on Computational Methods, Singapore, Singapore, December 15-17, 2004.
[16] A p-robust Multilevel Solver for Particle-Partition of Unity Methods,
International Workshop on Advances in Computational Mechanics, Tokyo, Japan, November 3-6, 2004.
[17] A p-robust Multilevel Solver for Particle-Partition of Unity Methods,
WCCM VI - Sixth World Congress on Computational Mechanics, Beijing, China, September 5-10, 2004.
[18] A Parallel Multilevel Solver for Partition of Unity Methods,
Eleventh GAMM Workshop on Multigrid Methods and Hierarchical Solution Techniques, Max-Planck-Institut, Leipzig, Germany, August 25-27, 2003.
[19] A Multilevel Particle-Partition of Unity Method,
7th US National Congress on Computational Mechanics, Albuqerque, NM, USA, July 27-31, 2003.
[20] Multilevel Solvers for Meshfree Methods,
5th International Congress on Industrial and Applied Mathematics, Sydney, Australia, July 7-11, 2003.
[21] A Parallel Multilevel Particle-Partition of Unity Method,
Eleventh Leslie Fox Prize, Cambridge, United Kingdom, June 20, 2003.
[22] A Parallel Multilevel Partition of Unity Method,
Seventh European MultiGrid Conference 2002, Hohenwart, Germany, October 7-10, 2002.
[23] Multilevel Partition of Unity Methods,
ICM 2002, Satellite Conference on Scientific Computing, Xi'an, China, August 15-18, 2002.
[24] Algebraic Multigrid for Linear Elasticity,
ICM 2002, Satellite Conference on Scientific Computing, Xi'an, China, August 15-18, 2002.
[25] A Parallel Multilevel Particle-Partition of Unity Method,
Fifth World Congress on Computational Mechanics, Vienna, Austria, July 7-12, 2002.
[26] A Parallel Multilevel Particle-Partition of Unity Method,
International Workshop on Meshfree Methods for Partial Differential Equations, Bonn, Germany, September 11-14, 2001.
[27] A Multilevel Particle-Partition of Unity Method,
6 US National Congress on Computation Mechanics, Dearborn, Michigan, USA, August 1-4, 2001.
[28] Algebraic Multigrid Methods for Systems of Partial Differential Equations,
Scalable Solvers Workshop 2001, Lawrence Livermore National Laboratory, Livermore, California, USA, June 11-13, 2001.
[29] A Multilevel Particle-Partition of Unity Method,
10th Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado, USA, April 1-6, 2001.
[30] A Parallel Particle-Partition of Unity Method for PDEs,
Workshop on Meshfree Methods, Iowa City, USA, November 4, 2000.
[31] A Tree Partition of Unity Method,
International Workshop Gitterlose Diskretisierungen für partielle Differentialgleichungen, Mathematisches Forschungsinstitut Oberwolfach, Germany, April 16-22, 2000.
[32] Parallel scalable algebraic solvers,
Scalable Solvers Workshop '99, Lawrence Livermore National Laboratory, Livermore, USA, June 23-25, 1999.
[33] Three parallelization strategies for AMG,
Ninth Copper Mountain Conference on Multigrid Methods, Copper Mountain, USA, April 11-16, 1999.
[34] Parnass2 - A cluster of dual-processor PCs,
Second Workshop on Cluster Computing, Karlsruhe, Germany, March 25-26, 1999.
[35] A partition of unity particle method.,
189. Heraeus-Seminar on High Order Finite Element Methods, Bad Honnef, Germany, March 16-18, 1998.

Other Talks

[1] Automatic hp-refinement & enrichment in the Particle-Partition of Unity Method,
Max-Planck Institut Leipzig, December 4, 2007.
[2] Meshfree Methods for PDE,
Technische Universität Berlin, November 13, 2007.
[3] Effiziente Gitterfreie Methoden für partielle Differentialgleichungen,
Universität Stuttgart, Germany, May 4, 2007.
[4] Adaptive meshfree methods,
Warwick University, Warwick, United Kingdom, March 15, 2007.
[5] An Introduction to Meshfree Methods,
ASIM Workshop 2007, Aachen, Germany, February 28 - March 2, 2007.
[6] Adaptive Multilevel Techniques for Meshfree Methods,
Georg-August-Universität, Göttingen, Germany, June 18, 2006.
[7] The Particle-Partition of Unity Method,
Syracuse University, Syracuse, USA, March 21, 2006.
[8] Parallel Algebraic Multigrid Methods,
Syracuse University, Syracuse, USA, March 20, 2006.
[9] Parallelization of Meshfree Methods,
CAR/ISCR Seminar, Lawrence Livermore National Laboratory, , USA, August 27, 2004.
[10] Efficient Implementation and Parallelization of Meshfree and Particle Methods,
Eleventh LMS-EPSRC Summer School in Computational Mathematics and Scientific Computing, Durham, United Kingdom, June 27 - July 9, 2004.
[11] A Parallel Multilevel Particle-Partition of Unity Method,
Universität der Bundeswehr, München, Germany, June 4, 2002.
[12] Parallelization of Meshfree Methods,
Lucent Technologies, Murray Hill, USA, November 7, 2000.
[13] Parnass2: A Cluster of Dual-Processor PCs,
Universität Wuppertal, Germany, May 4, 1999.