A Modified Frozen Newton Method to Identify a Cavity by Means of Boundary Measurements
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.
KeywordsInverse Problem Incident Plane Wave Boundary Measurement Newton Algorithm Inverse Scattering Problem
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