Stability estimates in inverse scattering
A.G.Ramm
TL;DR
This paper develops a rigorous mathematical method for recovering potentials from fixed-energy scattering data in three dimensions, providing error estimates and an algorithm for noisy data inversion.
Contribution
It introduces a new mathematically rigorous inversion method with error bounds and an algorithm tailored for noisy fixed-energy scattering data.
Findings
Error estimates for the inversion solution
Algorithm for noisy data inversion
Rigorous mathematical framework for potential recovery
Abstract
Mathematically rigorous inversion method is developed to recover compactly supported potentials from the fixed-energy scattering data in three dimensions. Error estimates are given for the solution. An algorithm for inversion of noisy discrete fixed-energy #D scattering data is developed and its error estimates are obtained
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Taxonomy
TopicsNumerical methods in inverse problems · Microwave Imaging and Scattering Analysis · Medical Imaging Techniques and Applications