Geometric multipole expansion and its application to semi-neutral inclusions of general shape
Numerical Analysis
2021-06-23 v7 Numerical Analysis
Abstract
This paper presents a new concept of geometric multipole expansion for the conductivity or anti-plane elasticity problem in two dimensions by using the Faber polynomials. As an application, we construct semi-neutral inclusions of general shape that show relatively negligible field perturbations for low-order polynomial loadings. These inclusions are of the multilayer structure whose material parameters are determined such that some coefficients of geometric multipole expansion vanish.
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@article{arxiv.1808.02446,
title = {Geometric multipole expansion and its application to semi-neutral inclusions of general shape},
author = {Doosung Choi and Junbeom Kim and Mikyoung Lim},
journal= {arXiv preprint arXiv:1808.02446},
year = {2021}
}
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23 pages