Principles of Ill-Posed Inverse Problem Solution

2018 ◽  
pp. 269-287
Author(s):  
Michael S. Zhdanov
Keyword(s):  
Inverse Problem ◽  
Problem Solution ◽  
Inverse Problem Solution ◽  
Ill Posed

scholarly journals Abundances of microRNAs in human cells can be estimated as a function of the abundances of YRHB and RHHK tetranucleotides in these microRNAs as an ill-posed inverse problem solution

2013 ◽  
Vol 4 ◽  
Author(s):  
Mikhail P. Ponomarenko ◽  
Valentin V. Suslov ◽  
Petr M. Ponomarenko ◽  
Konstantin V. Gunbin ◽  
Irina L. Stepanenko ◽  
...  
Keyword(s):  
Inverse Problem ◽  
Human Cells ◽  
Problem Solution ◽  
Inverse Problem Solution ◽  
Ill Posed

Inverse problem solution for a laser flash studies of a thin layer coatings

2017 ◽  
Vol 27 (3) ◽  
pp. 698-710 ◽  
Author(s):  
Wit Stryczniewicz ◽  
Janusz Zmywaczyk ◽  
Andrzej Jaroslaw Panas
Keyword(s):  
Inverse Problem ◽  
Heat Conduction ◽  
Thin Layer ◽  
Laser Flash ◽  
Problem Solution ◽  
Flake Graphite ◽  
Estimation Technique ◽  
Content Type ◽  
Inverse Problem Solution ◽  
Layer Sample

Purpose The paper aims to discuss the inverse heat conduction methodology in solution of a certain parameter identification problem. The problem itself concerns determination of the thermophysical properties of a thin layer coating by applying the laser flash apparatus. Design/methodology/approach The modelled laser flash diffusivity data from the three-layer sample investigation are used as input for the following parameter estimation procedure. Assuming known middle layer, i.e. substrate properties, the thermal diffusivity (TD) of the side layers’ material is determined. The estimation technique utilises the finite element method for numerical solution of the direct, 2D axisymmetric heat conduction problem. Findings The paper presents methodology developed for a three-layer sample studies and results of the estimation technique testing and evaluation based on simulated data. The multi-parametrical identification procedure results in identification of the out of plane thin layer material diffusivity from the inverse problem solution. Research limitations/implications The presentation itself is limited to numerical simulation data, but it should be underlined that the flake graphite thermophysical parameters have been utilised in numerical tests. Practical implications The developed methodology is planned to be applied in detailed experimental studies of flake graphite. Originality/value In the course of a present study, a methodology of the thin-coating layer TD determination was developed. In spite of the fact that it has been developed for the graphite coating investigation, it was planned to be universal in application to any thin–thick composite structure study.

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