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

Revista Brasileira de Ciencias Mecanicas/Journal of the Brazilian Society of Mechanical Sciences

Volumn 23, Issue 3, 2001, Pages 321-334

  Su, J ^a   Neto, A J S ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Adjoint problem; Conjugate gradient method; Heat conduction; Inverse problem

Indexed keywords

ALGORITHMS; ESTIMATION; INVERSE PROBLEMS; ITERATIVE METHODS; MATHEMATICAL MODELS; OPTIMIZATION; PLATES (STRUCTURAL COMPONENTS); PROBLEM SOLVING; TEMPERATURE;

CONJUGATE GRADIENT METHOD; HEAT SOURCE; INVERSE LINEAR DIFFUSIVE PROBLEMS; MATHEMATICAL FORMULATION;

HEAT CONDUCTION;

EID: 0035185598     PISSN: 01007386     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0100-73862001000300005     Document Type: Article

References (32)

1. Solution of an inverse problem of heat conduction by iteration methods
2. Algorithms and results of solving the inverse heat conduction boundary problem in a two-dimensional formulation
3. Boundary inverse heat conduction problem in extreme formulation
4. On the solution of parabolic and hyperbolic inverse heat conduction problems
5. A direct analytic approach for solving two-dimensional linear inverse heat conduction problems
6. Method of inverse dynamic systems and its application for recovering internal heat sources
7. A comparison of different versions of the conjugate gradient method of function estimation
8. Transient inverse heat conduction problem solutions via Newton's method
9. A global time treatment for inverse heat conduction problems
10. Inverse problem of determining unknown wall heat flux in laminar flow through parallel plate duct
11. Two-dimensional inverse problem in estimating heat fluxes of an enclosure with unknown internal heat sources
12. Prediction of local thermal contact conductance in plate finned-tube heat exchangers
13. A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
14. Solution of the two-dimensional inverse heat conduction problem in a cylindrical coordinate system
15. Method of determining the thermophysical properties of orthotropic materials from the solution of a two-dimensional inverse heat conduction problem
16. Two-dimensional inverse heat conduction problem of estimating the time-varying strength of a line heat source
17. Inverse problem of simultaneously estimating the timewise-varying strengths of two plane heat sources
18. Simultaneous estimation of location and timewise varying strength of a plane heat source
19. An inverse heat conduction problem of unknown initial condition
20. The estimation of space and time dependent strength of a volumetric heat source in a one-dimensional plate
21. Function estimation with the conjugate gradient method in linear and non-linear heat conduction problems
22. The estimation of heat source strength in plate-type fuel elements with cladding
23. Heat source estimation with the conjugate gradient method in inverse linear diffusive problems
24. Two-dimensional inverse heat conduction problem of source strength estimation in cylindrical rods
25. A two-dimensional inverse heat conduction algorithm