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Inverse Problems in Science and Engineering Volume 14, 2006 - Issue 4: Proceedings of the Inverse Problems, Design and Optimization (IPDO-2004) Symposium, Rio de Janeiro, Brazil, March 17–19 2004
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Original Articles

Inverse problems in magnetohydrodynamics: theoretical and experimental aspects

Frank Stefani , Forschungszentrum Rossendorf, P.O. Box 510119, D-01314 Dresden, Germany
,
Thomas Gundrum , Forschungszentrum Rossendorf, P.O. Box 510119, D-01314 Dresden, Germany
,
Gunter Gerbeth , Forschungszentrum Rossendorf, P.O. Box 510119, D-01314 Dresden, Germany
,
Uwe Günther , Forschungszentrum Rossendorf, P.O. Box 510119, D-01314 Dresden, Germany
&
Mingtian Xu , Forschungszentrum Rossendorf, P.O. Box 510119, D-01314 Dresden, Germany
Pages 411-422 | Received 10 Jan 2005, Accepted 05 May 2005, Published online: 26 Jan 2007

References

  • Eckert, S, Gerbeth, G, Stefani, F, and Witke, W, 2003. "Measuring techniques for liquid metal velocity measurements". In: Lee, PD, Mitchell, A, and Jardy, A, eds. Proceedings of the 2003 International Symposium on Liquid Metal Processing and Casting. Nancy, France. 2003. pp. 261–271.
  • Gailitis, A, Lielausis, O, Platacis, E, Gerbeth, G, and Stefani, F, 2002. Laboratory experiments on hydromagnetic dynamos, Reviews of Modern Physics 74 (2002), pp. 973–990.
  • Stefani, F, Gerbeth, G, and Rädler, K-H, 2000. Steady dynamos in finite domains: an integral equation approach, Astronomische Nachrichten 321 (2000), pp. 65–73.
  • Xu, M, Stefani, F, and Gerbeth, G, 2004. The integral equation method for a steady kinematic dynamo problem, Journal of Computational Physics 196 (2004), pp. 102–125, (2003).
  • Xu, M, Stefani, F, and Gerbeth, G, 2004. Integral equation approach to time-dependent kinematic dynamos in finite domains, Physical Review E 70 (2004), p. 056305.
  • Stefani, F, and Gerbeth, G, 1999. Velocity reconstruction in conducting fluids from magnetic fields and electric potential measurements, Inverse Problems 15 (1999), pp. 771–786.
  • Stefani, F, and Gerbeth, G, 2000. On the uniqueness of velocity reconstruction in conducting fluids from measurements of induced electromagnetic fields, Inverse Problems 16 (2000), pp. 1–9.
  • Stefani, F, and Gerbeth, G, 2000. A contactless method for velocity reconstruction in electrically conducting fluids, Meas. Sci. Technol. 11 (2000), pp. 758–765.
  • Stefani, F, and Gerbeth, G, 2001. A toy model for inverse dynamo theory, Physics of the Earth and Planetary Interiors 128 (2001), pp. 109–124.
  • Günther, U, and Stefani, F, 2003. Isospectrality of spherical MHD dynamo operators. Pseudo- Hermiticity and a no-go theorem, Journal of Mathematical Physics 44 (2003), pp. 3097–3111.
  • Stefani, F, and Gerbeth, G, 2003. Oscillatory mean-field dynamos with a spherically symmetric, isotropic helical turbulence parameter α, Physical Review E 67 (2003), pp. 207–302.
  • Hansen, PC, 1992. Analysis of discrete ill-posed problems by means of the L-curve, SIAM Review 34 (1992), pp. 561–580.
  • Shercliff, JA, 1962. The Theory of Electromagnetic Flow-Measurement. Cambridge: Cambridge University Press; 1962.

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