Regularized numerical solution of the nonlinear, two-dimensional, inverse heat-conduction problem
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Mathematical Modeling Mechanical Engineer Industrial Mathematic
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References
- 1.O. M. Alifanov, Inverse Heat-Transfer Problems [in Russian], Mashinostroenie, Moscow (1988).Google Scholar
- 2.A. G. Temkin, Inverse Heat-Conduction Problems [in Russian], Energiya, Moscow (1973).Google Scholar
- 3.L. A. Kozdoba and P. S. Krukovskii, Methods for the Solution of Inverse Heat-Transfer Problems [in Russian], Naukova Dumka, Kiev (1982).Google Scholar
- 4.A. M. Grishin, A. Ya. Kuzin, V. L. Mikov, et al., Solution of Selected Problems in the Mechanics of Reacting Media [in Russian], Izd. Tomsk. Univ., Tomsk (1987).Google Scholar
- 5.O. M. Alifanov and N. V. Kerov, “Determination of the parameters of external heat input from the solution of the two-dimensional heat-conduction problem,” Inzh.-Fiz. Zh.,41, No. 4 (1981).Google Scholar
- 6.N. V. Kerov, “Solution of the two-dimensional inverse heat-conduction problem in cylindrical coordinates,” Inzh.-Fiz. Zh.,45, No. 5 (1983).Google Scholar
- 7.O. M. Alifanov and Yu. V. Egorov, “Algorithms for the solution of an inverse heat-conduction boundary-value problem in two dimensions,” Inzh.-Fiz. Zh.,48, No. 4 (1985).Google Scholar
- 8.O. M. Alifanov and A. V. Nenarokomov, “Three-dimensional inverse heat-conduction problem in an extremal formulation,” Dokl. Russk. Akad. Nauk,325, No. 5 (1992).Google Scholar
- 9.O. M. Alifanov and E. A. Artyukhin, “Determination of the boundary conditions in thermal gasdynamic testing,” Teplofiz. Vys. Temp.,16, No. 4 (1978).Google Scholar
- 10.A. Ya. Kuzin and N. A. Yaroslavtsev, “Application of regularizing algorithms for the solution of a nonlinear inverse heat-conduction boundary-value problem,” manuscript deposited at the All-Union Institute of Scientific and Technical Information [in Russian], VINITI Deposit No. 5280-V87, Tomsk (July 22, 1987).Google Scholar
- 11.A. M. Grishin, A. Ya. Kuzin, S. P. Sinitsyn, and N. A. Yaroslavtsev, “Solution of inverse problems in the mechanics of reacting media,” Inzh.-Fiz. Zh.,56, No. 3 (1989).Google Scholar
- 12.A. Ya. Kuzin and N. A. Yaroslavtsev, “Reconstruction of heat flux in a reacting body from the solution of the inverse heat- and mass-transfer problem,” in: Mechanics of Reacting Media and Its Applications [in Russian] (All-Union Collection), Nauka, Novosibirsk (1989).Google Scholar
- 13.A. Ya. Kuzin and N. A. Yaroslavtsev, “Numerical solution of a nonlinear inverse heat-conduction boundary-value problem for composite polymer materials,” in: Heat Physics and Hydrodynamics of Technological Systems [in Russian] (Intercollegiate Collection), Izd. Tomsk. Politekh. Inst., Tomsk (1990).Google Scholar
- 14.N. N. Yanenko, Method of Fractional Steps for the Solution of Multidimensional Problems in Mathematical Physics [in Russian], Nauka, Moscow (1967).Google Scholar
- 15.A. A. Samarskii and E. S. Nikolaev, Methods for the Solution of Network Equations [in Russian], Nauka, Moscow (1978).Google Scholar
- 16.V. P. Sosedov (ed.), Properties of Carbon-Base Construction Materials: Handbook [in Russian], Mashinostroenie, Moscow (1975).Google Scholar
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