@inproceedings{5a078e17ba8e470898842ba1fdeba0dd,
title = "A Multipole Expansion Method for PDE Constrained Problems",
abstract = "It is crucial to choose the appropriate numerical method for treating partial differential equations in shape optimization and control problems. This paper introduces a meshless approach derived from the well-known charge simulation method. Instead of a large number of heuristically located monopoles (i.e. charges or sources), the proposed technique relies on more rigorously located poles with multiplicity. A well-conditioned method is devised by applying basis orthogonalization in this multipole expansion. The basis size is determined by a recursive process of orthogonalization in order to achieve the desired accuracy as shown in the numerical examples.",
author = "Rastko Zivanovic",
note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 30th Mediterranean Conference on Control and Automation, MED 2022 ; Conference date: 28-06-2022 Through 01-07-2022",
year = "2022",
doi = "10.1109/MED54222.2022.9837174",
language = "English",
series = "2022 30th Mediterranean Conference on Control and Automation, MED 2022",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1105--1110",
booktitle = "2022 30th Mediterranean Conference on Control and Automation, MED 2022",
address = "United States",
}