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Research Group of Prof. Dr. Marc Alexander Schweitzer

Contact Information

Address:
Institut für Numerische Simulation
Endenicher Allee 19b
53115 Bonn
Phone: +49 228 73-69827
Office: EA19b 3.017
E-Mail: ed tod nnob-inu tod sni ta reztiewhcsa tod b@foo tod de

Research Interests

  • Meshfree Methods for Partial Differential Equations
  • Multilevel and Algebraic Multigrid Methods
  • Parallel Computing
  • Tree Codes, Spatial Data Structures, Space Filling Curves and Range Queries

Teaching

Winter semester 2018/19

Winter semester 2017/18

See teaching activities of the whole group.

Research Projects

Current

High-dimensional problems and multi-scale methods

Project Area J, Cluster of Excellence.

Homepage.

High-Performance Parallel Computing

Homepage.

Completed

Coupled Microscale Simulation of Nonlinear Processes in Structural Mechanics

Project C6, SFB 611.

Homepage.

Microscopic effects at fluid interfaces

Project C4, SFB 611.

Homepage.

Numerical optimization of dynamical wetting processes

Project C3, SFB 611.

Homepage.

Parallel Algebraic Multigrid

Homepage.

Parallel Partition of Unity Methods

Homepage.

See all projects of the group.

Publications

Books

  1. A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations. M. A. Schweitzer. Volume 29 of Lecture Notes in Computational Science and Engineering. Springer, 2003. BibTeX

Articles

  1. Orbital-enriched flat-top partition of unity method for the schrödinger eigenproblem. C. Albrecht, C. Klaar, J. E. Pask, M. A. Schweitzer, N. Sukumar, and A. Ziegenhagel. Computer Methods in Applied Mechanics and Engineering, 342:224 – 239, 2018. BibTeX Link
  2. Multilevel preconditioners for embedded enriched partition of unity approximations. M. A. Schweitzer and A. Ziegenhagel. Advanced Modeling and Simulation in Engineering Sciences, 5(1):13, May 2018. BibTeX Publisher
  3. Visualization of fracture progression in peridynamics. M. Bußler, P. Diehl, D. Pflüger, S. Frey, F. Sadlo, T. Ertl, and M. A. Schweitzer. Computers & Graphics, 67():45–57, 2017. BibTeX Publisher
  4. Variational mass lumping in the partition of unity method. M. A. Schweitzer. SIAM Journal on Scientific Computing, 35(2):A1073–A1097, 2013. BibTeX Publisher
  5. Generalizations of the finite element method. M. A. Schweitzer. Central European Journal of Mathematics, 10:3–24, 2012. BibTeX Publisher
  6. Multilevel particle–partition of unity method. M. A. Schweitzer. Numer. Math., 118:307–328, 2011. BibTeX
  7. Stable enrichment and local preconditioning in the particle–partition of unity method. M. A. Schweitzer. Numer. Math., 118(1):137–170, 2011. BibTeX
  8. Numerical Simulation of Bubble and Droplet-Deformation by a Level Set Approach with Surface Tension in Three Dimensions. R. Croce, M. Griebel, and M. A. Schweitzer. International Journal for Numerical Methods in Fluids, 62(9):963–993, 2009. Also available as SFB 611 Preprint no 431. BibTeX PDF Publisher
  9. An Algebraic Treatment of Essential Boundary Conditions in the Particle–Partition of Unity Method. M. A. Schweitzer. SIAM Journal on Scientific Computing, 31(2):1581–1602, 2009. BibTeX PDF Publisher Link
  10. An Adaptive hp-Version of the Multilevel Particle–Partition of Unity Method. M.A. Schweitzer. Comput. Methods Appl. Mech. Engrg., 198:1260–1272, 2009. BibTeX PDF Publisher
  11. Robust Norm Equivalencies for Diffusion Problems. M. Griebel, K. Scherer, and M. A. Schweitzer. Math. Comput., 76:1141–1161, 2007. BibTeX PDF Link
  12. Coarse grid classification: a parallel coarsening scheme for algebraic multigrid methods. M. Griebel, B. .Metsch, D. .Oeltz, and M. A. Schweitzer. Numerical Linear Algebra with Applications, 13(2–3):193–214, 2006. Also available as SFB 611 preprint No. 225, Universität Bonn, 2005. BibTeX PDF PostScript
  13. Feature sensitive multiscale editing on surfaces. U. Clarenz, M. Griebel, M. Rumpf, M. A. Schweitzer, and A. Telea. The Visual Computer, pages 329–343, 2004. Also as Preprint No.~89, SFB 611, Universität Bonn, Germany. BibTeX PDF PostScript
  14. An Algebraic Multigrid Method for Linear Elasticity. M. Griebel, D. Oeltz, and M. A. Schweitzer. SIAM J. Sci. Comp., 25(2):385–407, 2003. BibTeX PDF PostScript
  15. A Particle-Partition of Unity Method—Part II: Efficient Cover Construction and Reliable Integration. M. Griebel and M. A. Schweitzer. SIAM J. Sci. Comp., 23(5):1655–1682, 2002. BibTeX PDF PostScript
  16. A Particle-Partition of Unity Method—Part III: A Multilevel Solver. M. Griebel and M. A. Schweitzer. SIAM J. Sci. Comp., 24(2):377–409, 2002. BibTeX PDF PostScript
  17. A Particle-Partition of Unity Method for the solution of Elliptic, Parabolic and Hyperbolic PDE. M. Griebel and M. A. Schweitzer. SIAM J. Sci. Comput., 22(3):853–890, 2000. BibTeX PostScript

Series and conference contributions

  1. Extraction of fragments and waves after impact damage in particle-based simulations. P. Diehl, M. Bußler, D. Pflüger, S. Frey, T. Ertl, F. Sadlo, and M. A. Schweitzer. In Meshfree Methods for Partial Differential Equations VIII, pages 17–34. Springer International Publishing, 2017. BibTeX Publisher
  2. Scientific Computing and Algorithms in Industrial Simulations: Projects and Products of Fraunhofer SCAI, chapter Parallel Algebraic Multigrid, pages 121–134. H.-J. Plum, A. Krechel, S. Gries, B. Metsch, F. Nick, M. A. Schweitzer, and K. Stüben. Springer International Publishing, 2017. BibTeX
  3. Evaluation of local multiscale approximation spaces for partition of unity methods. M. A. Schweitzer and S. Wu. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations VIII, volume 115 of Lecture Notes in Science and Engineering, 163–194. Springer International Publishing, 2017. BibTeX
  4. Embedding enriched partition of unity approximations in finite element simulations. M. A. Schweitzer and A. Ziegenhagel. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations VIII, volume 115 of Lecture Notes in Science and Engineering, 195–204. Springer International Publishing, 2017. BibTeX
  5. Scientific Computing and Algorithms in Industrial Simulations: Projects and Products of Fraunhofer SCAI, chapter Rapid Enriched Simulation Application Development with PUMA, pages 207–228. M. A. Schweitzer and A. Ziegenhagel. Springer International Publishing, 2017. BibTeX
  6. Closing the Performance Gap with Modern C++. T. Heller, H. Kaiser, P. Diehl, D. Fey, and M. A. Schweitzer. In M. Taufer, B. Mohr, and J. M. Kunkel, editors, High Performance Computing, volume 9945 of Lecture Notes in Computer Science, 18–31. Springer International Publishing, 2016. BibTeX Publisher
  7. Simulation of wave propagation and impact damage in brittle materials using peridynamics. P. Diehl and M. A. Schweitzer. In M. Mehl, M. Bischoff, and M. Schäfer, editors, Recent Trends in Computational Engineering – CE2014, Lecture Notes in Computational Science and Engineering, pages 251–265. Springer, 2015. BibTeX PDF Publisher
  8. Efficient neighbor search for particle methods on GPUs. P. Diehl and M. A. Schweitzer. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations VII, volume 100 of Lecture Notes in Computational Science and Engineering, pages 81–95. Springer, 2014. BibTeX PDF Publisher
  9. Non-intrusive uncertainty quantification with sparse grids for multivariate peridynamic simulations. F. Franzelin, P. Diehl, and D. Pflüger. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations VII, volume 100 of Lecture Notes in Computational Science and Engineering, pages 115–143. Springer, 2014. BibTeX PDF Publisher
  10. A moving least squares approach to the construction of discontinuous enrichment functions. M. A. Schweitzer and S. Wu. In M. Griebel, editor, Singular Phenomena and Scaling in Mathematical Models, pages 347–360. Springer International Publishing, 2014. BibTeX Publisher
  11. Multilevel Partition of Unity Method for Elliptic Problems with Strongly Discontinuous Coefficients. M. A. Schweitzer. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations VI, volume 89 of Lecture Notes in Computational Science and Engineering, pages 93–110. Springer, 2013. BibTeX
  12. Direct Visualization of Particle-Partition of Unity Data. M. Üffinger, M. A. Schweitzer, F. Sadlo, and T. Ertl. In P. Eisert, K. Polthier, and J. Hornegger, editors, Vision, Modelling and Visualization, pages 255–262. Eurographics Association, 2011. BibTeX
  13. Treatment of General Domains in two Space Dimensions in a Partition of Unity Method. M. A. Schweitzer and M. Randrianarivony. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations V, volume 79 of Lecture Notes in Computational Science and Engineering, pages 27–50. Springer, 2010. BibTeX
  14. Stability of Energy Transfer in the Weak Coupling Method. K. Fackeldey, R. Krause, and M. A. Schweitzer. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations IV, volume 65 of Lecture Notes in Computational Science and Engineering, pages 111–119. Springer, 2008. BibTeX PDF
  15. A Particle-Partition of Unity Method—Part VIII: Hierarchical Enrichment. M. A. Schweitzer. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations IV, volume 65 of Lecture Notes in Computational Science and Engineering, 277–299. Springer, 2008. BibTeX PDF
  16. Coarse Grid Classification: AMG on Parallel Computers. Michael Griebel, Bram Metsch, and Marc Alexander Schweitzer. In Gernot Münster, Dietrich Wolf, and Manfred Kremer, editors, NIC Symposium 2008, volume 39 of NIC Series, 299–306. February 2008. Also available as SFB 611 preprint No. 368, Universität Bonn, 2008. BibTeX PDF
  17. A Particle-Partition of Unity Method—Part VII: Adaptivity. M. Griebel and M. A. Schweitzer. 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. BibTeX PDF PostScript
  18. A Particle-Partition of Unity Method—Part VI: A pp-robust Multilevel Solver. M. Griebel, P. Oswald, and M. A. Schweitzer. 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, 71–92. Springer, 2005. BibTeX PDF PostScript
  19. Particle-Partition of Unity Methods in Elasticity. M. Griebel and M. A. Schweitzer. In Proceedings of the International Conference on Computational Methods. Springer, 2005. BibTeX PDF PostScript
  20. Implementation and Parallelization of Meshfree Methods. M. A. Schweitzer. In J. Blowey and A. Craig, editors, Frontiers in Numerical Analysis (Durham 2004), Universitext, 195–257. Springer, 2005. BibTeX
  21. Flow Field Clustering via Algebraic Multigrid. M. Griebel, T. Preusser, M. Rumpf, M. A. Schweitzer, and A. Telea. In Proceedings of the IEEE Visualization 2004, 35–42. 2004. BibTeX PDF
  22. A Particle-Partition of Unity Method—Part IV: parallelization. M. Griebel and M. A. Schweitzer. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations, volume 26 of Lecture Notes in Computational Science and Engineering, 161–192. Springer, 2002. BibTeX PDF PostScript
  23. A Particle-Partition of Unity Method—Part V: Boundary Conditions. M. Griebel and M. A. Schweitzer. In S. Hildebrandt and H. Karcher, editors, Geometric Analysis and Nonlinear Partial Differential Equations, pages 517–540. Springer, 2002. BibTeX PDF PostScript
  24. Dynamic load-balancing of hierarchical tree algorithms on a cluster of multiprocessor PCs and on the Cray T3E. A. Caglar, M. Griebel, M. A. Schweitzer, and G. Zumbusch. 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. BibTeX PDF PostScript

Technical reports

  1. Numerical verification of a bond-based softening peridynamic model for small displacements: deducing material parameters from classical linear theory. P. Diehl, R. Lipton, and M. A. Schweitzer. Technical Report, Institut für Numerische Simulation, 2016. BibTeX PDF
  2. Numerical Simulation of Droplet-Deformation by a Level Set Approach with Surface Tension. R. Croce, M. Griebel, and M. A. Schweitzer. Preprint 395, Sonderforschungsbereich 611, Universität Bonn, Bonn, Germany, 2008. BibTeX PDF
  3. Coarse grid classification–Part II: automatic coarse grid agglomeration for parallel AMG. M. Griebel, B. Metsch, and M. A. Schweitzer. Preprint 271, Sonderforschungsbereich 611, Universität Bonn, 2006. BibTeX PDF PostScript
  4. A Parallel Level-Set Approach for Two-Phase Flow Problems with Surface Tension in Three Space Dimensions. R. Croce, M. Griebel, and M. A. Schweitzer. Preprint 157, Sonderforschungsbereich 611, Universität Bonn, 2004. BibTeX PDF

Edited volumes

  1. Meshfree Methods for Partial Differential Equations VIII, volume 115 of Lecture Notes in Computational Science and Engineering, Springer, 2017. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  2. Scientific Computing and Algorithms in Industrial Simulations: Projects and Products of Fraunhofer SCAI, Springer International Publishing, 2017. M. Griebel, A. Schüller, and M. A. Schweitzer, editors. BibTeX Publisher
  3. Advanced mesh-based and particle-based numerical methods for engineering and applied mathematics problems. C.-T. Wu, L. Wang, B. Bonello, L. Ling, N. Ma, and M. A. Schweitzer. Mathematical Problems in Engineering, Volume 2017, Article ID 1273017, Editorial, 2017. BibTeX
  4. Meshfree Methods for Partial Differential Equations VII, volume 100 of Lecture Notes in Computational Science and Engineering, Springer, 2015. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  5. Meshfree Methods for Partial Differential Equations VI, volume 89 of Lecture Notes in Computational Science and Engineering, Springer, 2013. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  6. Meshfree Methods for Partial Differential Equations V, volume 79 of Lecture Notes in Computational Science and Engineering, Springer, 2011. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  7. Report on the First Five Years. J. Adelsberger, M. Griebel, and M. A. Schweitzer, editors. Institute for Numerical Simulation, University of Bonn, Germany, 2009. (Available on request). BibTeX Contact
  8. Meshfree Methods for Partial Differential Equations IV. M. Griebel and M. A. Schweitzer, editors. Volume 65 of Lecture Notes in Computational Science and Engineering. Springer, 2008. BibTeX
  9. Meshfree Methods for Partial Differential Equations III, volume 57 of Lecture Notes in Computational Science and Engineering, Springer, 2006. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  10. Meshfree Methods for Partial Differential Equations II, volume 43 of Lecture Notes in Computational Science and Engineering, Springer, 2005. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  11. Meshfree Methods for Partial Differential Equations, volume 26 of Lecture Notes in Computational Science and Engineering, Springer, 2002. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher

Theses

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

Talks

  1. Multilevel Solvers for Partition of Unity Methods. M. A. Schweitzer. Workshop on Meshless Methods, Generalized Finite Element Methods, and Related Approaches, University of Maryland, College Park, USA, March, 11–13, 2005. BibTeX
  2. A pp-robust Multilevel Solver for Particle-Partition of Unity Methods. M. A. Schweitzer. Sixth World Congress on Computational Mechanics, Beijing, China, September, 5–10, 2004. BibTeX
  3. A pp-robust Multilevel Solver for Particle-Partition of Unity Methods. M. A. Schweitzer. International Workshops on Advances in Computational Mechanics, Tokyo, Japan, November, 3–6, 2004. BibTeX
  4. Efficient Implementation and Parallelization of Meshfree and Particle Methods. M. A. Schweitzer. Eleventh LMS-EPSRC Summer School in Computational Mathematics and Scientific Computing, Durham, United Kingdom, June, 27 – July, 9, 2004. BibTeX
  5. Efficient Implementation and Parallelization of Meshfree and Particle Methods. M. A. Schweitzer. CAR/ISCR Seminar, Lawrence Livermore National Laboratory, Livermore, California, USA, August, 27, 2004. BibTeX
  6. Particle-Partition of Unity Methods in Elasticity. M. A. Schweitzer. Sixth World Congress on Computational Mechanics, Beijing, China, September 5–10, 2004. BibTeX
  7. Particle-Partition of Unity Methods in Elasticity. M. A. Schweitzer. International Conference on Computational Methods, Singapore, Singapore, December, 15–17, 2004. BibTeX
  8. A Multilevel Particle-Partition of Unity Method. M. A. Schweitzer. Seventh US National Congress on Computational Mechanics, Albuquerque, New Mexico, USA, July, 27 – August, 1, 2003. BibTeX
  9. A Multilevel Solver for Partition of Unity Methods. M. A. Schweitzer. Eleventh GAMM-Workshop on Multigrid Methods and Hierarchic Solution Techniques, Leipzig, Germany, August, 25–27, 2003. BibTeX
  10. A Parallel Multilevel Particle-Partition of Unity Method. M. A. Schweitzer. Eleventh Leslie Fox Prize, Cambridge, United Kingdom, June, 20, 2003. BibTeX
  11. A Parallel Multilevel Particle-Partition of Unity Method. M. A. Schweitzer. Fifth International Congress on Industrial and Applied Mathematics, Sydney, Australia, July, 7–11, 2003. BibTeX
  12. A Parallel Multilevel Particle-Partition of Unity Method. M. A. Schweitzer. Einladungsvortrag Insitut für Ingenieurmathematik und Ingenieurinformatik, Universität der Bundeswehr München, München, Germany, June, 4, 2002. BibTeX
  13. A Parallel Multilevel Particle-Partition of Unity Method. M. A. Schweitzer. Fifth World Congress on Computational Mechanics, Wien, Austria, July, 7–12, 2002. BibTeX
  14. A Parallel Multilevel Particle-Partition of Unity Method. M. A. Schweitzer. International Congress of Mathematicians Satellite Conference on Scientific Computing, Xi'an, China, August, 15–18, 2002. BibTeX
  15. A Parallel Multilevel Particle-Partition of Unity Method. M. A. Schweitzer. Seventh European Multigrid Conference, Hohenwart, Germany, October, 7–10, 2002. BibTeX
  16. An Algebraic Multigrid Method for Linear Elasticity. M. A. Schweitzer. International Congress of Mathematicians Satellite Conference on Scientific Computing, Xi'an, China, August, 15–18, 2002. BibTeX
  17. A Multilevel Particle-Partition of Unity Method. M. A. Schweitzer. Tenth Copper Mountain Conference: Multigrid Methods, Copper Mountain, Colorado, USA, April, 1–6, 2001. BibTeX
  18. A Multilevel Particle-Partition of Unity Method. M. A. Schweitzer. Sixth US National Congress on Computational Mechanics, Detroit, Michigan, USA, August, 1–4, 2001. BibTeX
  19. A Parallel Multilevel Particle-Partition of Unity Method. M. A. Schweitzer. International Workshop Meshfree Methods for Partial Differential Equations, Bonn, Germany, September, 11–14, 2001. BibTeX
  20. Algebraic Multigrid Methods for Systems of Partial Differential Equations. M. A. Schweitzer. Second International Workshop Scalable Linear Solvers, Lawrence Livermore National Laboratory, Livermore, California, USA, June, 11–13, 2001. BibTeX
  21. A Parallel Partition of Unity Method. M. A. Schweitzer. International Workshop Meshfree Methods, Iowa City, Iowa, USA, November, 4, 2000. BibTeX
  22. A Parallel Partition of Unity Method. M. A. Schweitzer. Einladungsvortrag Lucent Technologies, Murray Hill, New Jersey, USA, November, 7, 2000. BibTeX
  23. A Tree Partition of Unity Method. M. A. Schweitzer. International Workshop Gitterlose Diskretisierungen für Partielle Differentialgleichungen, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, April, 16–20, 2000. BibTeX
  24. A Particle-Partition of Unity Method for the Solution of Elliptic, Hyperbolic and Parabolic Partial Differential Equations. M. A. Schweitzer. Einladungsvortrag Center for Advanced Scientific Computing, Lawrence Livermore National Laboratory, Livermore, California, USA, June, 18, 1999. BibTeX
  25. Parallel Scalable Linear Solvers. M. A. Schweitzer. International Workshop Scalable Linear Solvers, Lawrence Livermore National Laboratory, Livermore, California, USA, June, 23–25, 1999. BibTeX
  26. Parnass2_2: A Cluster of Dual–Processor PCs. M. A. Schweitzer. Second Workshop Cluster Computing, Karlsruhe, Germany, March, 25–26, 1999. BibTeX
  27. Parnass2_2: A Cluster of Dual–Processor PCs. M. A. Schweitzer. Einladungsvortrag Institut für Angewandte Informatik, Universität Wuppertal, Wuppertal, Germany, May, 4, 1999. BibTeX
  28. Three Parallelization Strategies for Algebraic Multigrid Methods. M. A. Schweitzer. Ninth Copper Mountain Conference: Multigrid Methods, Copper Mountain, Colorado, USA, April, 11–16, 1999. BibTeX