A gradient descent method for solving an inverse coefficient heat conduction problem

被引：0
|
作者：
S. I. Kabanikhin
A. Hasanov
A. V. Penenko
机构：
[1] Russian Academy of Sciences,S. L. Sobolev Institute of Mathematics, Siberian Branch
[2] Kocaeli University,Applied Mathematical Sciences Research Center
来源：
Numerical Analysis and Applications | 2008年 / 1卷 / 1期
关键词：
coefficient identification; inverse heat conduction problem; gradient; adjoint problem; descent parameter;
D O I：
10.1134/S1995423908010047
中图分类号：
学科分类号：
摘要：
An iterative gradient descent method is applied to solve an inverse coefficient heat conduction problem with overdetermined boundary conditions. Theoretical estimates are derived showing how the target functional varies with varying the coefficient. These estimates are used to construct an approximation for a target functional gradient. In numerical experiments, iteration convergence rates are compared for different descent parameters.
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页码：34 / 45
页数：11
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