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Unique determination of surface breaking cracks in three-dimensional bodies - MaRDI portal

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Unique determination of surface breaking cracks in three-dimensional bodies (Q2709822)

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scientific article
Language Label Description Also known as
English
Unique determination of surface breaking cracks in three-dimensional bodies
scientific article

    Statements

    title
    Unique determination of surface breaking cracks in three-dimensional bodies (English)
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    author
    Giovanni Alessandrini
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    Michele Di Cristo
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    publication date
    30 October 2001
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    zbMATH Keywords
    cracks
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    boundary measurements of voltages and current
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    perfectly conducting
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    perfectly insulating
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    uniqueness results for multiple cracks
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    review text
    This paper discusses the inverse problem of determining cracks in an electrical conducting medium by finitely many boundary measurements of voltages and current. The cracks are composed of two cases; one is perfectly conducting; the other one is perfectly insulating. The boundary is composed of two parts, one, denoted by \(\partial_A \Omega \), is accessible to measurements, but no crack edge emerges on it. The other one, denoted by \( \partial_I \Omega \), is electrically insulating, inaccessible to measurements, and cracks may emerge on it. NEWLINENEWLINENEWLINEThe author proves uniqueness results for multiple cracks, possibly emerging on the surface of the conductor in the perfectly conducting case and the perfectly insulating case, respectively.
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    reviewed by
    Zhang Wanguo
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    Identifiers

    Mathematics Subject Classification ID
    35R30
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    35J05
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    78A30
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    zbMATH DE Number
    1587236
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    OpenAlex ID
    W2076159192
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