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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 21, 1992 - Issue 3
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Original Articles

OPTIMAL HEATING OF A SLAB WITH A PLANE HEAT SOURCE OF TIMEWISE VARYING STRENGTH

Chung J. Chen Mechanical and Aerospace Engineering Department, North Carolina State University, Raleigh, North Carolina, 27695-7910
&
M. N. Özişik Mechanical and Aerospace Engineering Department, North Carolina State University, Raleigh, North Carolina, 27695-7910
Pages 351-361 | Received 10 Dec 1990, Accepted 23 May 1991, Published online: 13 Jul 2010

REFERENCES

  • A. G. Butkovskii and A. Y. Lerner , The Optimal Control of Systems with Distributed Parameters , Auto. Remote Contr ., vol. 21 , pp. 472 – 477 , 1960 .
  • Y. Sakawa , Solution of an Optimal Control Problem in a Distributed-Parameter System , IEEE Trans. Auto. Contr ., vol. AC-9 , no. 4 , pp. 420 – 426 , 1964 .
  • Y. Sakawa , Optimal Control of a Certain Type of Linear Distributed-Parameter System , IEEE Trans. Auto. Contr ., vol. AC-11 , no. 1 , pp. 35 – 41 , 1966 .
  • R. K. Cavin III and S. C. Tandon , Distributed Parameter System Optimum Control Design via Finite Element Discretization , Auwmatica , vol. 13 , pp. 611 – 614 , 1977 .
  • R. A. Meric , Finite Element Analysis of Optimal Heating of a Slab with Temperature Dependent Thermal Conductivity , Int. J. Heat and Mass Transfer , vol. 22 , pp. 1347 – 1353 , 1979 .
  • R. A. Meric , Finite Element and Conjugate Gradient Methods for a Nonlinear Optimal Heat Transfer Control Problem , Int. J. Numer. Meth. Eng ., vol. 14 , pp. 1851 – 1863 , 1979 .
  • W. H. Ray , Some Recent Applications of Distributed Parameter Systems Theory-A Survey , Auwmatica , vol. 14 , pp. 281 – 287 , 1978 .
  • A. P. Sage , Optimum Systems Control , Prentice-Hall , Englewood Cliffs , N.J ., 1968 .
  • R. Fletcher and C. M. Reeves , Function Minimization by Conjugate Gradients , Comput. J ., vol. 7 , pp. 149 – 154 , 1964 .

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