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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.