A second degree Newton method for an inverse obstacle scattering problem

Rainer Kress; Kuo-Ming Lee

doi:10.1016/j.jcp.2011.06.020

A second degree Newton method for an inverse obstacle scattering problem

Rainer Kress, Kuo-Ming Lee

Department of Mathematics

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

A regularized second degree Newton method is proposed and implemented for the inverse problem for scattering of time-harmonic acoustic waves from a sound-soft obstacle. It combines ideas due to Johansson and Sleeman [18] and Hettlich and Rundell [8] and reconstructs the obstacle from the far field pattern for scattering of one incident plane wave.

Original language	English
Pages (from-to)	7661-7669
Number of pages	9
Journal	Journal of Computational Physics
Volume	230
Issue number	20
DOIs	https://doi.org/10.1016/j.jcp.2011.06.020
Publication status	Published - 2011 Jan 1

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All Science Journal Classification (ASJC) codes

Numerical Analysis
Modelling and Simulation
Physics and Astronomy (miscellaneous)
Physics and Astronomy(all)
Computer Science Applications
Computational Mathematics
Applied Mathematics

Cite this

Kress, R., & Lee, K-M. (2011). A second degree Newton method for an inverse obstacle scattering problem. Journal of Computational Physics, 230(20), 7661-7669. https://doi.org/10.1016/j.jcp.2011.06.020

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Access to Document

10.1016/j.jcp.2011.06.020