@Article{EAJAM-14-1,
author = {Yixin, Tan and Zhu, Shengfeng},
title = {Numerical Shape Reconstruction for a Semi-Linear Elliptic Interface Inverse Problem},
journal = {East Asian Journal on Applied Mathematics},
year = {2024},
volume = {14},
number = {1},
pages = {147--178},
abstract = {<p style="text-align: justify;">We consider a shape reconstruction inverse problem constrained by a semi-linear elliptic interface problem in reaction diffusion. The existence of the model is
shown. We perform shape sensitivity analysis and propose two numerical optimization
algorithms based on the distributed shape gradient. The first algorithm allows shape
changes and the second algorithm uses a level set method allowing shape and topological
changes. Numerical results are presented to verify effectiveness of the algorithms.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2023-075.010623},
url = {https://global-sci.com/article/82402/numerical-shape-reconstruction-for-a-semi-linear-elliptic-interface-inverse-problem}
}