An iterative approach to non-overdetermined inverse scattering at fixed energy

An iterative approach to non-overdetermined inverse scattering at fixed energy

We present an iterative approximate reconstruction algorithm for non-overdetermined inverse scattering at fixed energy with incomplete data, where the dimension . In particular, we obtain rapidly converging approximate reconstructions for this inverse scattering for . Bibliography: 38 titles.

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Bibliographische Detailangaben
Veröffentlicht in:Sbornik. Mathematics 2015-01, Vol.206 (1), p.120-134
1. Verfasser: Novikov, R. G.
Format: Artikel
Sprache:eng
Schlagworte:
ALGORITHMS
Analysis of PDEs
Approximation
APPROXIMATIONS
Functional Analysis
Infinity
Inverse scattering
INVERSE SCATTERING PROBLEM
iterative approximate reconstruction
ITERATIVE METHODS
Mathematical analysis
MATHEMATICAL METHODS AND COMPUTING
Mathematical Physics
Mathematics
non-overdetermined monochromatic data
rapid high energy convergence
Reconstruction
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Beschreibung
Zusammenfassung:We present an iterative approximate reconstruction algorithm for non-overdetermined inverse scattering at fixed energy with incomplete data, where the dimension . In particular, we obtain rapidly converging approximate reconstructions for this inverse scattering for . Bibliography: 38 titles.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM2015v206n01ABEH004449