A hybrid method for inverse scattering for Sound-soft obstacles in R3

Pedro Serranho

doi:10.3934/ipi.2007.1.691

Article Contents

2007, Volume 1, Issue 4: 691-712. Doi: 10.3934/ipi.2007.1.691

This issue Previous Article On the application of projection methods for computing optical flow fields Next Article Equilibrium measures and capacities in spectral theory

A hybrid method for inverse scattering for Sound-soft obstacles in R3

Pedro Serranho^1,

1.
Institut für Angewandt und Numerische Mathematik, University of Göttingen, Lotzestr. 16-18, 37083, Göttingen

Received: November 2006

Published: November 2007

Abstract Related Papers Cited by

Abstract

We present a hybrid method to numerically solve the inverse acoustic sound-soft obstacle scattering problem in $\R^3$, given the far-field pattern for one incident direction. This method combines ideas of both iterative and decomposition methods, inheriting advantages of each of them, such as getting good reconstructions and not needing a forward solver at each step. A related Newton method is presented to show convergence of the method and numerical results show its feasibility.

Keywords:

Mathematics Subject Classification: 35R30, 78A46.

Citation:

Article Metrics

HTML views() PDF downloads(139) Cited by(0)

A hybrid method for inverse scattering for Sound-soft obstacles in R3

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

A hybrid method for inverse scattering for Sound-soft obstacles in R3

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content