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

Publications of Prof. Dr. Marc Alexander Schweitzer:

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.
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Edited volumes:

[1] M. Griebel and M. A. Schweitzer, editors. Meshfree Methods for Partial Differential Equations VIII, volume 115 of Lecture Notes in Computational Science and Engineering. Springer, 2017.
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[2] M. Griebel and M. A. Schweitzer, editors. Meshfree Methods for Partial Differential Equations VII, volume 100 of Lecture Notes in Computational Science and Engineering. Springer, 2015.
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[3] 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.
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[4] 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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[5] 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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[6] 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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[7] 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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[8] 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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[9] 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.
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[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.
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[3] M. Schweitzer. An adaptive hp-version of the multilevel particle-partition of unity method. Comput. Methods Appl. Mech. Engrg., 198:1260-1272, 2009.
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[4] M. Griebel, K. Scherer, and M. A. Schweitzer. Robust norm equivalencies for diffusion problems. Math. Comput., 76:1141-1161, 2007.
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[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.
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[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.
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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.
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[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.
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[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.
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[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.
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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.
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[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.
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[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.
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[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.
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[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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