Research Group of Prof. Dr. J. Schweitzer
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

Awards

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 ]

Articles:

[1] M. A. Schweitzer. Generalizations of the finite element method. Central European Journal of Mathematics, 10:3-24, 2012.
bib | DOI | http ]
[2] M. A. Schweitzer. Multilevel particle-partition of unity method. Numer. Math., 118:307-328, 2011.
bib ]
[3] M. A. Schweitzer. Stable Enrichment and Local Preconditioning in the Particle-Partition of Unity Method. Numer. Math., 118(1):137-170, 2011.
bib ]
[4] 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 ]
[5] 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 ]
[6] 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 ]
[7] M. Griebel, K. Scherer, and M. A. Schweitzer. Robust Norm Equivalencies for Diffusion Problems. Math. Comput., 76:1141-1161, 2007.
bib | .html | .pdf 1 ]
[8] 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 ]
[9] 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.
bib | .ps.gz 1 | .pdf 1 ]
[10] M. Griebel, D. Oeltz, and M. A. Schweitzer. An Algebraic Multigrid Method for Linear Elasticity. SIAM J. Sci. Comp., 25(2):385-407, 2003.
bib | .ps.gz 1 | .pdf 1 ]
[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.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[12] 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.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[13] M. Griebel and M. A. Schweitzer. A Particle-Partition of Unity Method for the solution of Elliptic, Parabolic and Hyperbolic PDE. SIAM J. Sci. Comput., 22(3):853-890, 2000.
bib | .ps.gz 1 | Abstract ]

Series- and conference contributions:

[1] P. Diehl and M. A. Schweitzer. Simulation of wave propagation and impact damage in brittle materials using peridynamics. In M. Mehl, M. Bischoff, and M. Schäfer, editors, Recent Trends in Computational Engineering - CE2014, Lecture Notes in Computational Science and Engeneering. Springer, 2015.
bib ]
[2] M. A. Schweitzer and S. Wu. A moving least squares approach to the construction of discontinuous enrichment functions. In M. Griebel, editor, Singular Phenomena and Scaling in Mathematical Models, pages 347-360. Springer International Publishing, 2014.
bib | DOI | http ]
[3] M. A. Schweitzer. Multilevel Partition of Unity Method for Elliptic Problems with Strongly Discontinuous Coefficients, Meshfree Methods for Partial Differential Equations vi. In M. Griebel and M. A. Schweitzer, editors, Lecture Notes in Computational Science and Engineering, volume 89, pages 93-110. Springer, 2013.
bib ]
[4] M. Üffinger, M. A. Schweitzer, F. Sadlo, and T. Ertl. Direct Visualization of Particle-Partition of Unity Data. In P. Eisert, K. Polthier, and J. Hornegger, editors, Vision, Modelling and Visualization, pages 255-262. Eurographics Association, 2011.
bib ]
[5] M. A. Schweitzer and M. Randrianarivony. Treatment of General Domains in two Space Dimensions in a Partition of Unity Method, Meshfree Methods for Partial Differential Equations v. In M. Griebel and M. A. Schweitzer, editors, Lecture Notes in Computational Science and Engineering, volume 79, pages 27-50. Springer, 2010.
bib ]
[6] 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.
bib | .pdf 1 ]
[7] 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.
bib | .pdf 1 ]
[8] 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.
bib | .pdf 1 ]
[9] 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 ]
[10] 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 ]
[11] M. Griebel and M. A. Schweitzer. Particle-Partition of Unity Methods in Elasticity. In Proceedings of the International Conference on Computational Methods. Springer, 2005.
bib | .ps.gz 1 | .pdf 1 ]
[12] 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.
bib ]
[13] 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.
bib | .pdf 1 ]
[14] 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.
bib | .ps.gz 1 | .pdf 1 ]
[15] 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.
bib | .ps.gz 1 | .pdf 1 ]
[16] 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 ]
[17] 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. 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 ]
[3] 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 ]

Edited volumes:

[1] M. Griebel and M. A. Schweitzer, editors. Meshfree Methods for Partial Differential Equations VI, volume 89 of Lecture Notes in Computational Science and Engineering. Springer, 2013.
bib | http ]
[2] 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.
bib | http ]
[3] 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).
bib | http ]
[4] 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.
bib ]
[5] 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 | http ]
[6] 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.
bib | .html ]
[7] 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.
bib | .html ]

Theses:

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

Talks:

[1] M. A. Schweitzer. Multilevel Solvers for Partition of Unity Methods. Workshop on Meshless Methods, Generalized Finite Element Methods, and Related Approaches, University of Maryland, College Park, USA, March, 11-13, 2005.
bib ]
[2] M. A. Schweitzer. A p-robust Multilevel Solver for Particle-Partition of Unity Methods. Sixth World Congress on Computational Mechanics, Beijing, China, September, 5-10, 2004.
bib ]
[3] M. A. Schweitzer. Particle-Partition of Unity Methods in Elasticity. Sixth World Congress on Computational Mechanics, Beijing, China, September 5-10, 2004.
bib ]
[4] M. A. Schweitzer. A p-robust Multilevel Solver for Particle-Partition of Unity Methods. International Workshops on Advances in Computational Mechanics, Tokyo, Japan, November, 3-6, 2004.
bib ]
[5] M. A. Schweitzer. 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.
bib ]
[6] M. A. Schweitzer. Particle-Partition of Unity Methods in Elasticity. International Conference on Computational Methods, Singapore, Singapore, December, 15-17, 2004.
bib ]
[7] M. A. Schweitzer. Efficient Implementation and Parallelization of Meshfree and Particle Methods. CAR/ISCR Seminar, Lawrence Livermore National Laboratory, Livermore, California, USA, August, 27, 2004.
bib ]
[8] M. A. Schweitzer. A Parallel Multilevel Particle-Partition of Unity Method. Eleventh Leslie Fox Prize, Cambridge, United Kingdom, June, 20, 2003.
bib ]
[9] M. A. Schweitzer. A Parallel Multilevel Particle-Partition of Unity Method. Fifth International Congress on Industrial and Applied Mathematics, Sydney, Australia, July, 7-11, 2003.
bib ]
[10] M. A. Schweitzer. A Multilevel Particle-Partition of Unity Method. Seventh US National Congress on Computational Mechanics, Albuquerque, New Mexico, USA, July, 27 - August, 1, 2003.
bib ]
[11] M. A. Schweitzer. A Multilevel Solver for Partition of Unity Methods. Eleventh GAMM-Workshop on Multigrid Methods and Hierarchic Solution Techniques, Leipzig, Germany, August, 25-27, 2003.
bib ]
[12] M. A. Schweitzer. A Parallel Multilevel Particle-Partition of Unity Method. Seventh European Multigrid Conference, Hohenwart, Germany, October, 7-10, 2002.
bib ]
[13] M. A. Schweitzer. A Parallel Multilevel Particle-Partition of Unity Method. Einladungsvortrag Insitut für Ingenieurmathematik und Ingenieurinformatik, Universität der Bundeswehr München, München, Germany, June, 4, 2002.
bib ]
[14] M. A. Schweitzer. A Parallel Multilevel Particle-Partition of Unity Method. Fifth World Congress on Computational Mechanics, Wien, Austria, July, 7-12, 2002.
bib ]
[15] M. A. Schweitzer. A Parallel Multilevel Particle-Partition of Unity Method. International Congress of Mathematicians Satellite Conference on Scientific Computing, Xi'an, China, August, 15-18, 2002.
bib ]
[16] M. A. Schweitzer. An Algebraic Multigrid Method for Linear Elasticity. International Congress of Mathematicians Satellite Conference on Scientific Computing, Xi'an, China, August, 15-18, 2002.
bib ]
[17] M. A. Schweitzer. A Parallel Multilevel Particle-Partition of Unity Method. International Workshop Meshfree Methods for Partial Differential Equations, Bonn, Germany, September, 11-14, 2001.
bib ]
[18] M. A. Schweitzer. Algebraic Multigrid Methods for Systems of Partial Differential Equations. Second International Workshop Scalable Linear Solvers, Lawrence Livermore National Laboratory, Livermore, California, USA, June, 11-13, 2001.
bib ]
[19] M. A. Schweitzer. A Multilevel Particle-Partition of Unity Method. Sixth US National Congress on Computational Mechanics, Detroit, Michigan, USA, August, 1-4, 2001.
bib ]
[20] M. A. Schweitzer. A Multilevel Particle-Partition of Unity Method. Tenth Copper Mountain Conference: Multigrid Methods, Copper Mountain, Colorado, USA, April, 1-6, 2001.
bib ]
[21] M. A. Schweitzer. A Parallel Partition of Unity Method. Einladungsvortrag Lucent Technologies, Murray Hill, New Jersey, USA, November, 7, 2000.
bib ]
[22] M. A. Schweitzer. A Parallel Partition of Unity Method. International Workshop Meshfree Methods, Iowa City, Iowa, USA, November, 4, 2000.
bib ]
[23] M. A. Schweitzer. A Tree Partition of Unity Method. International Workshop Gitterlose Diskretisierungen für Partielle Differentialgleichungen, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, April, 16-20, 2000.
bib ]
[24] M. A. Schweitzer. Parnass2: A Cluster of Dual-Processor PCs. Einladungsvortrag Institut für Angewandte Informatik, Universität Wuppertal, Wuppertal, Germany, May, 4, 1999.
bib ]
[25] M. A. Schweitzer. Parnass2: A Cluster of Dual-Processor PCs. Second Workshop Cluster Computing, Karlsruhe, Germany, March, 25-26, 1999.
bib ]
[26] M. A. Schweitzer. Parallel Scalable Linear Solvers. International Workshop Scalable Linear Solvers, Lawrence Livermore National Laboratory, Livermore, California, USA, June, 23-25, 1999.
bib ]
[27] M. A. Schweitzer. A Particle-Partition of Unity Method for the Solution of Elliptic, Hyperbolic and Parabolic Partial Differential Equations. Einladungsvortrag Center for Advanced Scientific Computing, Lawrence Livermore National Laboratory, Livermore, California, USA, June, 18, 1999.
bib ]
[28] M. A. Schweitzer. Three Parallelization Strategies for Algebraic Multigrid Methods. Ninth Copper Mountain Conference: Multigrid Methods, Copper Mountain, Colorado, USA, April, 11-16, 1999.
bib ]