As of 1 April 2026, the PSJD database will become an archive and will no longer accept new data. Current publications from Polish scientific journals are available through the Library of Science: https://bibliotekanauki.pl
Inverse heat transfer problems are very important for the thermal testability of integrated circuits. Temperature sensors integrated on the same chip measure in real time the power dissipation in one or more critical heat sources of the circuit in order to prevent overheating. It will be demonstrated that these kinds of problems can give rise to mathematical unstabilities or the ill conditioning of the inverse problem. This statement will be proved with the help of several particular cases.
AGH University of Science and Technology, Institute of Electronics, al. A. Mickiewicza 30, 30-059 Kraków, Poland
References
1. K. Azar, J. Electron. Cool. 6, 42 (2000)
2. G. De Mey, in: Proc. Thermal Problems in Electronics - Advanced Training Course Mixed Design of VLSI Circuits Proc., Dębe (Poland), Eds: A. Napieralski, Z. Ciota, A. Martinez, G. De Mey, J. Cabestany, Kluwer Academic Publishers, Boston 1994, p. 25
3. J.E. Solomon, IEEE J. Solid State Circ. 9, 314 (1974)
4. A.L. Cavaglia, A.A. Iliadis, IEEE Electron Dev. Lett. 14, 133 (1993)
5. M. Janicki, J. Soraghan, A. Napieralski, in: Proc. Conf. on Mixed Design of Integrated Circuits and Systems (MIXDES), Łódź (Poland), Ed: A. Napieralski, DMCS, Technical University of Łódź, Łódź 1998, p. 209
6. S. Kindermann, M. Janicki, Electron. Trans. Numer. Anal. 35, 164 (2009)
7. M. Janicki, S. Kindermann, Inverse Problems Sci. Eng. 17, 1129 (2009)
8. G. Stoltz, ASME J. Heat Transfer 82, 20 (1960)
9. J. Beck, ASME J. Heat Transfer 62, 46 (1962)
10. J. Beck, B. Blackwell, A. Haji-Sheikh, Int. J. Heat Mass Transfer 39, 3649 (1996)
11. O. Alifanov, Inverse Heat Transfer Problems, Springer, New York 1994
12. V. Székely, M. Tencz, S. Török, G. Farkas, Cs. Márta, in: Proc. Advances in the Thermal Testing of IC's 3rd Int. Workshop on Thermal Investigation of IC's and Microstructures (THERMINIC), Cannes, Ed: B. Courtois, CMP Laboratory, Grenoble 1997, p. 5
13. D.J. Dean, Thermal Design of Electronic Circuit Boards and Packages, Electrochemical Publications, Ayr, Scotland 1985
14. N. Rinaldi, Solid State Electron. 44, 1789 (2000)
15. G. Golub, C. Van Loan, Matrix Computations, The John Hopkins University Press, Baltimore 1996