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. 
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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/

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