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

X. T. Xiong; W. X. Shi; Y. C. Hon

doi:10.1016/j.apm.2015.01.004

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

X. T. Xiong
, W. X. Shi
, Y. C. Hon^*

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	5480-5494
Journal	Applied Mathematical Modelling
Volume	39
Issue number	18
Online published	14 Jan 2015
DOIs	https://doi.org/10.1016/j.apm.2015.01.004
Publication status	Published - 15 Sept 2015

Research Keywords

Composite materials
Error estimate
Ill-posedness
Inverse problem
Regularization

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title = "A one-dimensional inverse problem in composite materials: Regularization and error estimates",

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.",

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T1 - A one-dimensional inverse problem in composite materials

T2 - Regularization and error estimates

AU - Xiong, X. T.

AU - Shi, W. X.

AU - Hon, Y. C.

PY - 2015/9/15

Y1 - 2015/9/15

N2 - 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.

AB - 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.

KW - Composite materials

KW - Error estimate

KW - Ill-posedness

KW - Inverse problem

KW - Regularization

UR - https://www.scopus.com/pages/publications/84938550643

UR - https://www.scopus.com/pages/publications/84938550643#tab=impact

U2 - 10.1016/j.apm.2015.01.004

DO - 10.1016/j.apm.2015.01.004

M3 - RGC 21 - Publication in refereed journal

SN - 0307-904X

VL - 39

SP - 5480

EP - 5494

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

IS - 18

ER -

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

Abstract

Research Keywords

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