122
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Numerical analysis of a calibration problem for simulating electric fault arc tests

, , &
Pages 679-698 | Received 16 Dec 2005, Accepted 08 Jun 2006, Published online: 28 Sep 2007

References

  • Engl, HW, Hanke, M, and Neubauer, A, 1996. Regularization of Inverse Problems. Dordrecht: Kluwer; 1996.
  • Evans, C, 1998. Partial Differential Equations. Providence: AMS; 1998.
  • Hanke, M, 1997. Regularizing properties of a truncated Newton–CG algorithm for nonlinear inverse problems, Numerical Functional Analysis and Optimization 18 (1997), pp. 971–993.
  • Hansen, PC, 1998. Rank-Deficient and Discrete Ill-Posed Problems. Philadelphia: SIAM; 1998.
  • Hofmann, B, 1986. Regularization for Applied Inverse and Ill-Posed Problems. Leipzig: Teubner; 1986.
  • Hofmann, B, and Scherzer, O, 1994. Factors influencing the ill-posedness of nonlinear problems, Inverse Problems 10 (1994), pp. 1277–1297.
  • Jakob, M, 1949. Heat Transfer. Vol. I. New York: John Wiley & Sons; 1949.
  • Kunisch, K, and Ring, W, 1993. Regularization of nonlinear ill-posed problems with closed operators, Numerical Functional Analysis and Optimization 14 (3–4) (1993), pp. 389–404.
  • International Social Security Association (ISSA), 2002. "Section Electricity–Gas–Long-Distance Heating–Water". In: Guideline for the selection of personal protective clothing when exposed to the thermal effects of an electric arc. 2002, c/o Berufsgenossenschaft der Feinmechanik und Elektrotechnik, Köln.
  • Lady[zbreve]enskaja, OA, Solonnikov, VA, and Ural'ceva, NN, 1968. Linear and Quasilinear Equations of Parabolic Type. Providence, Rhode Island: American Mathematical Society; 1968.
  • Schau, H, and Haase, J, 2002. Electric Fault Arc Calorimetric Analysis Based on ENV 50354:2000. Presented at Proceedings of the 6th International Conference on Live Maintentance (ICOLIM 2002).
  • Steinhorst, P, 2003. "Simulation of the nonstationary heat transfer through heat protecting textiles (in German)". Chemnitz: Chemnitz University of Technology; 2003, Diploma thesis, Faculty of Mathematics.
  • Steinhorst, P, Hofmann, B, Meyer, A, and Weinelt, W, 2005. Gas temperature identification for the simulation of electric fault arc tests. Presented at 5th International Conference on Inverse Problems in Engineering: Theory and Practice. Cambridge, 11–15 July, 2005, In: D. Lesnic (Ed.).
  • Torvi, DA, and Dale, JD, 1999. Heat transfer in thin fibrous materials under high heat flux, Fire Technology 35 (3) (1999), pp. 210–231.
  • Vogel, CR, 2002. Computational Methods for Inverse Problems. SIAM: Philadelphia; 2002.
  • Zeidler, E, 1985. Nonlinear Functional Analysis and its Applications I–Fixed-Point Theorems. New York: Springer; 1985.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.