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Optimal control of two-dimensional nonaxisymmetric temperature field in a hollow cylinder with thermoelastic stress restrictions. (English. Russian original) Zbl 0900.73518

Int. Appl. Mech. 31, No. 6, 448-454 (1995); translation from Prikl. Mekh., Kiev 31, No. 6, 42-49 (1995).

MSC:

74P99 Optimization problems in solid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
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References:

[1] V. M. Vigak, Optimal Control of Unsteady Thermal Regimes [in Russian], Nauk. Dumka, Kiev (1979). · Zbl 0414.73018
[2] V. M. Vigak, Control of Thermal Stresses and Displacements [in Russian], Nauk. Dumka, Kiev (1988). · Zbl 0704.73005
[3] V. M. Vigak and A. V. Yasinskii, ”Optimal response-speed control of heating of simple heat-sensitive bodies with limitations on thermoplastic stress,” Dokl. Akad. Nauk Ukr., No. 8, 56 (1993). · Zbl 1267.74093
[4] V. M. Vigak, ”Control of thermoplastic stresses in a cylinder with a two-dimensional temperature field,” Mat. Metod. Fiz.-Mekh. Polya, No. 36, 56 (1992).
[5] N. N. Kalitkin, Numerical Methods [in Russian], Nauka, Moscow (1978).
[6] A. V. Lykov, Theory of Thermal Conduction [in Russian], Vyssh. Shkola, Moscow (1967).
[7] A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1983). · Zbl 0971.65076
[8] A. A. Samarskii and E. S. Nikolaev, Methods of Solving Grid Control Problems [in Russian], Nauka, Moscow (1978).
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