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 journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 5480-5494 |
| Journal / Publication | Applied Mathematical Modelling |
| Volume | 39 |
| Issue number | 18 |
| Online published | 14 Jan 2015 |
| Publication status | Published - 15 Sep 2015 |
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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
Citation Format(s)
A one-dimensional inverse problem in composite materials : Regularization and error estimates. / Xiong, X. T.; Shi, W. X.; Hon, Y. C.
In: Applied Mathematical Modelling, Vol. 39, No. 18, 15.09.2015, p. 5480-5494.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
