INVERSE PROBLEM FOR A COUPLED PARABOLIC SYSTEM WITH DISCONTINUOUS CONDUCTIVITIES: ONE-DIMENSIONAL CASE

被引：10

作者：

Cristofol, Michel ^{[1
]}

Gaitan, Patricia ^{[2
]}

Niinimaki, Kati ^{[3
]}

Poisson, Olivier ^{[1
]}

机构：

[1] Aix Marseille Univ, LATP, F-13453 Marseille 13, France

[2] Aix Marseille Univ, CPT, F-13288 Marseille 9, France

[3] Univ Eastern Finland, Dept Appl Phys, FIN-70211 Kuopio, Finland

来源：

INVERSE PROBLEMS AND IMAGING | 2013年 / 7卷 / 01期

基金：

芬兰科学院;

关键词：

Inverse problems; parabolic system; Carleman; quadratic programming; interior-point method; INTERIOR-POINT METHOD; COEFFICIENTS;

D O I：

10.3934/ipi.2013.7.159

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the inverse problem of the simultaneous identification of two discontinuous diffusion coefficients for a one-dimensional coupled parabolic system with the observation of only one component. The stability result for the diffusion coefficients is obtained by a Carleman-type estimate. Results from numerical experiments in the one-dimensional case are reported, suggesting that the method makes possible to recover discontinuous diffusion coefficients.

引用

页码：159 / 182

页数：24

共 30 条

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