A one-dimensional inverse problem in composite materials : Regularization and error estimates

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

3 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)5480-5494
Journal / PublicationApplied Mathematical Modelling
Volume39
Issue number18
Online published14 Jan 2015
Publication statusPublished - 15 Sep 2015

Abstract

In this paper we investigate an inverse one-dimensional heat conduction problem in multi-layer medium. The inverse problem is first formulated in the frequency domain via Fourier transform technique. An effective regularization method for the stable reconstruction of solution is given with proven error estimates. Several numerical examples are constructed to demonstrate the effectiveness of the proposed method.

Research Area(s)

  • Composite materials, Error estimate, Ill-posedness, Inverse problem, Regularization