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Analysis of parameter estimation heat conduction problems with phase change using the finite element method
Author(s) -
Ouyang Tianhong
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620331003
Subject(s) - thermal conduction , interval (graph theory) , finite element method , heat equation , phase (matter) , estimation theory , mathematics , time domain , mathematical optimization , algorithm , mathematical analysis , computer science , thermodynamics , physics , combinatorics , quantum mechanics , computer vision
A solution to a parameter estimation problem in heat conduction with phase change is presented. Specifically, the thermophysical properties of the material are estimated by using the temperature measurements of several sensors located inside the fixed domain. In the parameter estimation problem the error is minimized between given and modelled temperatures at sensor locations over the time interval where the experiment involved variation of the material parameters. The methods are illustrated with several examples. The effects on the solution of the locations of the sensors, the number of the sensors, the time step and the number of time steps are examined.