Solution Of Inverse Problem Cauchy Type (Design) For Plane Layer

EasyChair Preprint no. 4291, version 3

Abstract

In engineering practice not always is possible the measure-ments of temperature on both side of wall (for example turbine casing orcombustion chamber). On the other hand it is possible measurement both temperature and heat flux on outside wall. For transient heat conductionequation the measurements temperature and heat flux supplemented byinitial condition states Cauchy problem which is ill conditioned. In paper the stable solution is obtained for Cauchy problem by using Laplacetransformation and minimisation of continuity in process of integration of convolution. Test examples confirm proposed algorithm of solution of inverse problem.

Keyphrases: Cauchy problem, Inverse heat conduction, Laplace transformation, regularization

@Booklet{EasyChair:4291,
  author = {Michał Ciałkowski and Nikolai Botkin and Jan Kołodziej and Andrzej Frąckowiak and Wiktor Hoffmann},
  title = {Solution Of Inverse Problem Cauchy Type (Design) For Plane Layer},
  howpublished = {EasyChair Preprint no. 4291},

  year = {EasyChair, 2020}}