Heat source estimation with the conjugate gradient method in inverse linear diffusive problems

被引：0

作者：

Su, J. ^{[1
]}

Neto, A.J.S. ^{[1
]}

机构：

[1] Nuclear Engineering Program, COPPE, Univ. Federal do Rio de Janeiro, Caixa Postal 68509, 21945-970 Rio de Janeiro, RJ, Brazil

来源：

Revista Brasileira de Ciencias Mecanicas/Journal of the Brazilian Society of Mechanical Sciences | 2001年 / 23卷 / 03期

关键词：

Algorithms - Estimation - Inverse problems - Iterative methods - Mathematical models - Optimization - Plates (structural components) - Problem solving - Temperature;

D O I：

10.1590/S0100-73862001000300005

中图分类号：

学科分类号：

摘要：

In this work, we present the solution of a class of linear inverse heat conduction problems for the estimation of unknown heat source terms, with no prior information of the functional forms of timewise and spatial dependence of the source strength, using the conjugate gradient with an adjoint problem. After describing the mathematical formulation of a general direct problem and the procedure for the solution of the inverse problem, we show applications to three transient heat transfer problems: a one-dimensional cylindrical problem; a two-dimensional cylindrical problem; and a one-dimensional problem with two plates.

引用

页码：321 / 334