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- W2783019506 abstract "This paper presents an approach to solving control problems of heat processes with phase transitions. It is based on the simultaneous use of three basic elements. First, the statement of a boundary value problem, that describes the process of heat transfer, is reformulated in terms of enthalpy. The second element is a special iterative algorithm for solving nonlinear systems of finite-difference equations obtained as a result of approximation of the initial-boundary value problem. The third element of the proposed approach is connected with the fact that the gradient of the cost function of the optimal control problem is calculated using the Fast Automatic Differentiation technique. The above-indicated approach is illustrated here by solving the problem of controlling the interface evolution in the process of molten metal crystallization in casting. The underlying mathematical model of the process is based on a three-dimensional non-stationary two-phase initial–boundary value problem of the Stefan type. The controls are determined numerically by solving the optimal control problems with the help of gradient optimization methods." @default.
- W2783019506 created "2018-01-26" @default.
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- W2783019506 date "2017-05-01" @default.
- W2783019506 modified "2023-10-11" @default.
- W2783019506 title "An Approach to Solving Control Problems of Heat Processes with Phase Transitions" @default.
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- W2783019506 doi "https://doi.org/10.1109/iccairo.2017.37" @default.
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