A Self-Adaptive Multigrid Technique for 3-D Space Charge Calculations

IEEE Transactions on Magnetics

Volumn 44, Issue 6, 2008, Pages 1242-1245

  Pöplau, Gisela ^a   van Rienen, Ursula ^a  

^a UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

Adaptive mesh; particle beam dynamics; space charge

Indexed keywords

EID: 85008035322     PISSN: 00189464     EISSN: 19410069     Source Type: Journal    
DOI: 10.1109/TMAG.2007.914831     Document Type: Article

References (20)

1. U. Trottenberg, C. Oosterlee, and A. Schüller, Multigrid. San Diego, CA: Academic Press, 2001.
2. Das europäische Röntgenlaserprojekt XFEL,DESY, 2005.
3. What is the ILC, GDE (Global Design Effort) [Online]. Available: www.linearcollider.org
4. G. Pöplau, MOEVE: Multigrid Poisson Solver for Non-Equidistant Tensor Product Meshes, Universität Rostock, 2003.
5. General Particle Tracer (GPT), Pulsar Physics, De Bongerd 23, 3762 XA Soest, release 2.70, The Netherlands [Online]. Available: www.pulsar.nl/gpt
6. K. Flöttmann, ASTRA, DESY. Hamburg, Germany [Online]. Available: www.desy.de/mpyflo, 2000
7. G. Pöplau, U. van Rienen, S. van der Geer, and M. de Loos, “A multigrid based 3D space-charge routine in the tracking code GPT,” in Computational Accelerator Physics 2002 (Proceedings of the 7th International Computational Accelerator Physics Conference, East Lansing, Michigan, USA), M. Berz and K. Makino, Eds. Bristol and Philadelphia: Institute of Physics, 2005, pp. 281–288, 175.
8. G. Pöplau, U. van Rienen, S. van der Geer, and M. de Loos, “Multigrid algorithms for the fast calculation of space-charge effects in accelerator design,” IEEE Trans. Magn., vol. 40, no. 2, pp. 714–717, Mar. 2004.
9. G. Pöplau, U. van Rienen, and K. Flöttmann, “3D space charge calculations for bunches in the tracking code Astra,” in Proc. EPAC 2006 (10th European Particle Accelerator Conf.), Edinburgh, U.K., 2006, pp. 2203–2205.
10. C. Birdsall and A. Langdon, Plasma Physics via Computer Simulation. New York: The Adam Hilger Series on Plasma Physics, 1991.
11. G. Pöplau, U. van Rienen, S. van der Geer, and M. de Loos, “Fast calculation of space charge in beam line tracking by multigrid techniques,” in Scientific Computing in Electrical Engineering, ser. Mathematics in Industry, no. 4, W. Schilders, E. ter Marten, and S. Houben, Eds. Berlin, Germany: Springer-Verlag, 2004, pp. 329–336.
12. A. Markoviḱ, “Numerical computation of space-charge fields of electron bunches in a beam pipe of elliptical shape,” DESY, Hamburg, Germany, TESLA-Rep. 2005-21, 2005 [Online]. Available: tesla.desy.de/new_pages/TESLA/TTFnot05.html
13. A. Greenbaum, Iterative Methods for Solving Linear Systems, ser. Frontiers in Applied Mathematics. Philadelphia, PA: SIAM, 1997, vol. 17.
14. W. Hackbusch, Iterative Solution of Large Sparse Systems of Equations, ser. Applied Mathematical Sciences. New York: Springer-Verlag, 1994, vol. 94.
15. W. Briggs, V. E. Henson, and S. McCormick, A Multigrid Tutorial, 2nd ed. Philadelphia, PA: SIAM, 2000.
16. W. Hackbusch, Multi-Grid Methods and Applications. Berlin, Germany: Springer-Verlag, 1985.
17. M. Jung and U. Langer, “Applications of multilevel methods to practical problems,” Surv. Math. Ind., vol. 1, pp. 217–257, 1991.
18. S. McCormick, Multilevel Adaptive Methods for Partial Differential Equations, ser. Frontiers in Applied Mathematics. Philadelphia, PA: SIAM, 1989, vol. 6.
19. W. Hackbusch, Theory and Numerical Treatment of Elliptic Differential Equations. New York: Springer-Verlag, 1992.
20. J. Qiang, S. Lidia, R. D. Ryne, and C. Limborg-Deprey, “Three-dimensional quasistatic model for high brightness beam dynamics simulation,” Phys. Rev. ST Accel. Beams, vol. 9, no. 4, p. 044204, Apr. 2006.