This article is cited in 7 papers

Discrete-analytic schemes for solving an inverse coefficient heatconduction problem in a layered medium with gradient methods

A. V. Penenko

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: 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.

Key words: inverse problem, gradient algorithm, numerical schemes, locally-adjoint problems.

UDC: 519.633

Received: 09.08.2011
Revised: 23.11.2011

 English version: Numerical Analysis and Applications, 2012, 5:4, 326–341

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