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Discrete-Analytic Schemes for Solving an Inverse Coefficient Heat Conduction Problem in a Layered Medium with Gradient Methods

为与坡度方法在分层的媒介解决一个反的系数热传导问题的分离分析的计划

作     者:Penenko, A. V. 

作者机构:Russian Acad Sci Inst Computat Math & Math Geophys Siberian Branch Pr Akad Lavrenteva 6 Novosibirsk 630090 Russia 

出 版 物:《NUMERICAL ANALYSIS AND APPLICATIONS》 (数值分析与应用)

年 卷 期:2012年第5卷第4期

页      面:326-341页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:Fundamental Research Programs of RAS Department of Mathematical Sciences RAS Russian Foundation for Basic Research [11-01-00187] Federal Program "Scientific and Scientific-Pedagogical Cadres of Innovative Russia [14.740.11.0350] 

主  题:inverse problem gradient algorithm numerical schemes locally-adjoint problems 

摘      要:A method for constructing numerical schemes for an inverse coefficient heat conduction problem with boundary measurement data and piecewise-constant coefficients is considered. Some numerical schemes for a gradient optimization algorithm to solve the inverse problem are presented. The method is based on locally-adjoint problems in combination with approximation methods in Hilbert spaces.

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