@Article{EAJAM-2-126,
author = {},
title = {Identification of a Corroded Boundary and Its Robin Coefficient},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {2},
number = {2},
pages = {126--149},
abstract = {<p style="text-align: justify;">An inverse geometric problem for two-dimensional Helmholtz-type equations
arising in corrosion detection is considered. This problem involves determining an unknown
corroded portion of the boundary of a two-dimensional domain and possibly its
surface heat transfer (impedance) Robin coefficient from one or two pairs of boundary
Cauchy data (boundary temperature and heat flux), and is solved numerically using the
meshless method of fundamental solutions. A nonlinear unconstrained minimisation of
the objective function is regularised when noise is added into the input boundary data.
The stability of the numerical results is investigated for several test examples, with respect
to noise in the input data and various values of the regularisation parameters.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.130212.300312a},
url = {http://global-sci.org/intro/article_detail/eajam/10871.html}
}