A modified frozen Newton method to identify a cavity by means of boundary measurements

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

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Year of publication:	2004
Authors:	Ha-Duong, T ; Jaoua, M ; Menif, F
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 66.2004, 4, p. 355-366
Publisher:	Elsevier
Subject:	Boundary measurements \| Newton method \| Nonlinear equation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010749770