Geodesic
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/}
}
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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/