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Volume 27, Issue 3
An Improved Hybrid Method for Inverse Obstacle Scattering Problems

Juan Liu & Fuming Ma

Commun. Math. Res., 27 (2011), pp. 215-226.

Published online: 2021-05

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  • Abstract

An improved hybrid method is introduced in this paper as a numerical method to reconstruct the scatterer by far-field pattern for just one incident direction with unknown physical properties of the scatterer. The improved hybrid method inherits the idea of the hybrid method by Kress and Serranho which is a combination of Newton and decomposition method, and it improves the hybrid method by introducing a general boundary condition. The numerical experiments show the feasibility of this method.

  • Keywords

hybrid method, inverse obstacle scattering, one incident direction, unknown scatterer.

  • AMS Subject Headings

78A46, 35J25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-27-215, author = {Liu , Juan and Ma , Fuming}, title = {An Improved Hybrid Method for Inverse Obstacle Scattering Problems}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {3}, pages = {215--226}, abstract = {

An improved hybrid method is introduced in this paper as a numerical method to reconstruct the scatterer by far-field pattern for just one incident direction with unknown physical properties of the scatterer. The improved hybrid method inherits the idea of the hybrid method by Kress and Serranho which is a combination of Newton and decomposition method, and it improves the hybrid method by introducing a general boundary condition. The numerical experiments show the feasibility of this method.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19084.html} }
TY - JOUR T1 - An Improved Hybrid Method for Inverse Obstacle Scattering Problems AU - Liu , Juan AU - Ma , Fuming JO - Communications in Mathematical Research VL - 3 SP - 215 EP - 226 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19084.html KW - hybrid method, inverse obstacle scattering, one incident direction, unknown scatterer. AB -

An improved hybrid method is introduced in this paper as a numerical method to reconstruct the scatterer by far-field pattern for just one incident direction with unknown physical properties of the scatterer. The improved hybrid method inherits the idea of the hybrid method by Kress and Serranho which is a combination of Newton and decomposition method, and it improves the hybrid method by introducing a general boundary condition. The numerical experiments show the feasibility of this method.

Liu , Juan and Ma , Fuming. (2021). An Improved Hybrid Method for Inverse Obstacle Scattering Problems. Communications in Mathematical Research . 27 (3). 215-226. doi:
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