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

T Ha-Duong, M Jaoua and F Menif

Mathematics and Computers in Simulation (MATCOM), 2004, vol. 66, issue 4, 355-366

Abstract: 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.

Keywords: Boundary measurements; Newton method; Nonlinear equation (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:66:y:2004:i:4:p:355-366

DOI: 10.1016/j.matcom.2004.02.003

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