Discrete-analytic schemes for solving an inverse coefficient heatconduction problem in a~layered medium with gradient methods
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 4, pp. 393-408
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A method for constructing numerical schemes for inverse coefficient inverse heatconduction problem with boundary measurement data and piecewise-constant coefficients is considered. A set of numerical schemes for a gradient optimization algorithm is presented. The method is based on the combined use of locally-adjoint problems along with approximation methods in the Hilbert spaces.
@article{SJVM_2012_15_4_a4,
author = {A. V. Penenko},
title = {Discrete-analytic schemes for solving an inverse coefficient heatconduction problem in a~layered medium with gradient methods},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {393--408},
publisher = {mathdoc},
volume = {15},
number = {4},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2012_15_4_a4/}
}
TY - JOUR AU - A. V. Penenko TI - Discrete-analytic schemes for solving an inverse coefficient heatconduction problem in a~layered medium with gradient methods JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2012 SP - 393 EP - 408 VL - 15 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2012_15_4_a4/ LA - ru ID - SJVM_2012_15_4_a4 ER -
%0 Journal Article %A A. V. Penenko %T Discrete-analytic schemes for solving an inverse coefficient heatconduction problem in a~layered medium with gradient methods %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2012 %P 393-408 %V 15 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2012_15_4_a4/ %G ru %F SJVM_2012_15_4_a4
A. V. Penenko. Discrete-analytic schemes for solving an inverse coefficient heatconduction problem in a~layered medium with gradient methods. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 4, pp. 393-408. http://geodesic.mathdoc.fr/item/SJVM_2012_15_4_a4/