@Article{JCM-35-5,
author = {Tingting, Feng and Kang, Hyeonbae and Lee, Hyundae},
title = {Construction of GPT-Vanishing Structures Using Shape Derivative},
journal = {Journal of Computational Mathematics},
year = {2017},
volume = {35},
number = {5},
pages = {569--585},
abstract = {<p style="text-align: justify;">The Generalized Polarization Tensors (GPT) are a series of tensors which contain information on the shape of a domain and its material parameters. The aim of this paper is to provide a method of constructing GPT-vanishing structures using shape derivative for two-dimensional conductivity or anti-plane elasticity problem. We assume a multi-coating geometry as a candidate of GPT-vanishing structure. We define a cost functional to minimize GPT and compute the shape derivative of this functional deriving an asymptotic expansion of the perturbations of the GPTs due to a small deformation of interfaces of the structure. We present some numerical examples of GPT-vanishing structures for several different shaped inclusions.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1605-m2016-0540},
url = {https://global-sci.com/article/84528/construction-of-gpt-vanishing-structures-using-shape-derivative}
}