Research Group of Prof. Dr. Marc Alexander Schweitzer
Publications of this group
Books
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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
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Efficient modeling of internal cracks for laplace problem by xfem using joukowski mapping. S. Nakasumi and M. A. Schweitzer. International Journal for Numerical Methods in Engineering, 0(ja):, 2019. BibTeX DOI arXiv https://onlinelibrary.wiley.com/doi/10.1002/nme.6039
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Multilevel particle–partition of unity method. M. A. Schweitzer. Numer. Math., 118:307–328, 2011. BibTeX
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Stable enrichment and local preconditioning in the particle–partition of unity method. M. A. Schweitzer. Numer. Math., 118(1):137–170, 2011. BibTeX
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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 PostScript PDF
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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 PostScript PDF
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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 PostScript PDF
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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 PostScript PDF
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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 PostScript PDF
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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
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Scalable linear solvers for computational material design of filled rubbers. G. Hülsmann, A. Krechel, H.-J. Plum, M. A. Schweitzer, C. T. W. W. Hu, and M. Koishi. In NWC 2019, NAFEMS World Congress. Summary of Proceedings : A world of engineering simulation, NAFEMS, 144. 2019. BibTeX
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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 PostScript PDF
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A Particle-Partition of Unity Method—Part VI: A -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 PostScript PDF
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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 PostScript PDF
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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
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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 PostScript PDF
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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 PostScript PDF
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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 PostScript PDF
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Parnass2: A cluster of dual-processor PCs. M. A. Schweitzer, G. W. Zumbusch, and M. Griebel. In W. Rehm and T. Ungerer, editors, Proceedings of the 2nd Workshop Cluster-Computing, Karlsruhe, number CSR-99-02 in Chemnitzer Informatik Berichte, 45–54. Chemnitz, Germany, 1999. TU Chemnitz. BibTeX PostScript PDF
Technical reports
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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 PostScript PDF
Edited volumes
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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
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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
Talks
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Energy equivalence for the horizon independent bond-based peridynamic softening model according to classical theory. P. Diehl. The Mathematics of Finite Elements and Applications 2016 (MAFELAP), 14.06-17.06 2016. BibTeX
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Modeling ductile materials with bond-based softening peridynamic model. P. Diehl. 12th. World Congress on Computational Mechanics (WCCM XII), 24.07-29.07 2016. BibTeX
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Numerical validation of the bond-based peridynamic softening model against classical theory. P. Diehl. SIAM Mathematical Aspects of Materials Science 2016, 08.05-12.05 2016. BibTeX
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Visualization of Fragments, Stress, and Fracture Progression in Peridynamics. P. Diehl. Isogeometric Analysis and Meshfree Methods, 10.10-12.10 2016. BibTeX
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A benchmark study for Mode I crack opening for brittle materials. P. Diehl. 13th US National Congress on Computational Mechanics (USNCCM), 26.07-30.07 2015. BibTeX
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A sensitivity study for critical traction in quasi-static peridynamics simulations. P. Diehl. 1st. PAN-American Congress on Computational Mechanics, 27.04-30.04 2015. BibTeX
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Efficient particle-based simulation of dynamic cracks and fractures in ceramic material. P. Diehl. GPU Technology Conference 2014, 24.03-27.03 2014. BibTeX
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Sensivity study for wave propagation and impact damage in brittle materials using peridynamics. P. Diehl. ASME International mechanical Engineering Congress and Exposition, 14.11-20.11 2014. BibTeX
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Simulation of wave propagation and impact damage in brittle materials using the peridynamics technique. P. Diehl. 11th. World Congress on Computational Mechanics (WCCM XI), 20.07-25.07 2014. BibTeX
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Simulation of wave propagation and impact damage in brittle materials using the peridynamics technique. P. Diehl. 3rd Workshop on Computational Engineering, 06.10-10.10 2014. BibTeX
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Coupling CPU and GPU to simulate efficient dynamic cracks and fractures in solids. P. Diehl. 12th U.S. National Congress on Computational Mechanics (USNCCM12), 21.07-25.07 2013. BibTeX
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Efficient k-nearest neighbor search on the GPU. P. Diehl. Seventh International Workshop Meshfree Methods for Partial Differential Equations, 09.09-11.09 2013. BibTeX
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Simulation of high-speed velocity impact on ceramic materials using the Peridynamic technique. P. Diehl. III International Conference on Particle-Based Methods. Fundamentals and Applications. Particles 2013, 18.09-20.09 2013. BibTeX
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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
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A -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
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A -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
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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
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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
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Particle-Partition of Unity Methods in Elasticity. M. A. Schweitzer. Sixth World Congress on Computational Mechanics, Beijing, China, September 5–10, 2004. BibTeX
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Particle-Partition of Unity Methods in Elasticity. M. A. Schweitzer. International Conference on Computational Methods, Singapore, Singapore, December, 15–17, 2004. BibTeX
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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
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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
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A Parallel Multilevel Particle-Partition of Unity Method. M. A. Schweitzer. Eleventh Leslie Fox Prize, Cambridge, United Kingdom, June, 20, 2003. BibTeX
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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
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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
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A Parallel Multilevel Particle-Partition of Unity Method. M. A. Schweitzer. Fifth World Congress on Computational Mechanics, Wien, Austria, July, 7–12, 2002. BibTeX
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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
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A Parallel Multilevel Particle-Partition of Unity Method. M. A. Schweitzer. Seventh European Multigrid Conference, Hohenwart, Germany, October, 7–10, 2002. BibTeX
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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
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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
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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
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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
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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
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A Parallel Partition of Unity Method. M. A. Schweitzer. International Workshop Meshfree Methods, Iowa City, Iowa, USA, November, 4, 2000. BibTeX
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A Parallel Partition of Unity Method. M. A. Schweitzer. Einladungsvortrag Lucent Technologies, Murray Hill, New Jersey, USA, November, 7, 2000. BibTeX
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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
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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
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Parallel Scalable Linear Solvers. M. A. Schweitzer. International Workshop Scalable Linear Solvers, Lawrence Livermore National Laboratory, Livermore, California, USA, June, 23–25, 1999. BibTeX
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Parnass: A Cluster of Dual–Processor PCs. M. A. Schweitzer. Second Workshop Cluster Computing, Karlsruhe, Germany, March, 25–26, 1999. BibTeX
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Parnass: A Cluster of Dual–Processor PCs. M. A. Schweitzer. Einladungsvortrag Institut für Angewandte Informatik, Universität Wuppertal, Wuppertal, Germany, May, 4, 1999. BibTeX
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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