@Article{CiCP-33-884,
author = {Liu , Meng and Yang , Jiaqing},
title = {Numerical Reconstruction of Locally Rough Surfaces with a Newton Iterative Algorithm},
journal = {Communications in Computational Physics},
year = {2023},
volume = {33},
number = {3},
pages = {884--911},
abstract = {<p style="text-align: justify;">In this paper, we propose a Newton iterative algorithm to numerically reconstruct a locally rough surface with Dirichlet and impedance boundary conditions
by near-field measurements of acoustic waves. The algorithm relies on the Fréchet differentiability analysis of the locally rough surface scattering problem, which is established by reducing the original model into an equivalent boundary value problem
with compactly supported boundary data. With a slight modification, the algorithm
can be also extended to reconstruct the local perturbation of a non-local rough surface.
Finally, numerical results are presented to illustrate the effectiveness of the inversion
algorithm with the multi-frequency data.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2022-0171},
url = {http://global-sci.org/intro/article_detail/cicp/21663.html}
}