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2003 | OriginalPaper | Buchkapitel

A Modified Frozen Newton Method to Identify a Cavity by Means of Boundary Measurements

verfasst von : Tuong Ha-Duong, Mohamed Jaoua, Faiza Menif

Erschienen in: Mathematical and Numerical Aspects of Wave Propagation WAVES 2003

Verlag: Springer Berlin Heidelberg

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We propose here a numerical procedure for reconstructing the shape of a cavity in a bounded domain by ultrasounds, from the boundary measurements. The ill posed nonlinear equation for the operator that maps the boundary of the cavity to the trace of the solution in the external surface is solved by a modified frozen Newton method.

Metadaten
Titel
A Modified Frozen Newton Method to Identify a Cavity by Means of Boundary Measurements
verfasst von
Tuong Ha-Duong
Mohamed Jaoua
Faiza Menif
Copyright-Jahr
2003
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-55856-6_100

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