A numerical investigation of Newton-type methods applied to a parabolic inverse problem

Stefan Kindermann

doi:10.1515/jiip.1999.7.6.541

A numerical investigation of Newton-type methods applied to a parabolic inverse problem

Stefan Kindermann

Industrial Mathematics Institute

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper a parabolic parameter identification problem is investigated. The problem is formulated as a nonlinear operator equation between Hilbertspaces, and the Frechet-differentiability is shown. We use Newton-type methods to examine under which conditions they give a reasonable numerical approximation. The experiments show in particular the importance of the source condition.

Original language	English
Pages (from-to)	541-560
Number of pages	20
Journal	Journal of Inverse and Ill-Posed Problems
Volume	7
Issue number	6
DOIs	https://doi.org/10.1515/jiip.1999.7.6.541
Publication status	Published - 1999

Fields of science

101 Mathematics
101020 Technical mathematics

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10.1515/jiip.1999.7.6.541

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abstract = "In this paper a parabolic parameter identification problem is investigated. The problem is formulated as a nonlinear operator equation between Hilbertspaces, and the Frechet-differentiability is shown. We use Newton-type methods to examine under which conditions they give a reasonable numerical approximation. The experiments show in particular the importance of the source condition.",

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AB - In this paper a parabolic parameter identification problem is investigated. The problem is formulated as a nonlinear operator equation between Hilbertspaces, and the Frechet-differentiability is shown. We use Newton-type methods to examine under which conditions they give a reasonable numerical approximation. The experiments show in particular the importance of the source condition.

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DO - 10.1515/jiip.1999.7.6.541

M3 - Article

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JO - Journal of Inverse and Ill-Posed Problems

JF - Journal of Inverse and Ill-Posed Problems

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ER -

A numerical investigation of Newton-type methods applied to a parabolic inverse problem

Abstract

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