An inverse problem of heat conductivity
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 768-774
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An approximate mathematical model for the process of high-frequency induction heating of cylindrical steel specimens is presented. The problem of determining the density of the heat sources and the temperature of the field within the specimen is solved by the regularization concept with additional information about the temperature on the surface of the specimen. The dependence of the thickness of the hardened layer on the parameters of the hardening process is studied.
@article{ZVMMF_1979_19_3_a19,
author = {V. B. Glasko and N. I. Kulik and I. N. Shklyarov and A. N. Tikhonov},
title = {An~inverse problem of heat conductivity},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {768--774},
publisher = {mathdoc},
volume = {19},
number = {3},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a19/}
}
TY - JOUR AU - V. B. Glasko AU - N. I. Kulik AU - I. N. Shklyarov AU - A. N. Tikhonov TI - An inverse problem of heat conductivity JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1979 SP - 768 EP - 774 VL - 19 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a19/ LA - ru ID - ZVMMF_1979_19_3_a19 ER -
%0 Journal Article %A V. B. Glasko %A N. I. Kulik %A I. N. Shklyarov %A A. N. Tikhonov %T An inverse problem of heat conductivity %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1979 %P 768-774 %V 19 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a19/ %G ru %F ZVMMF_1979_19_3_a19
V. B. Glasko; N. I. Kulik; I. N. Shklyarov; A. N. Tikhonov. An inverse problem of heat conductivity. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 768-774. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a19/