Reduced order isogeometric boundary element methods for CAD-integrated shape optimization in electromagnetic scattering

Chen, Leilei, Wang, Zhongwang, Lian, Haojie, Ma, Yujing, Meng, Zhuxuan, Li, Pei, Ding, Chensen and Bordas, Stéphane P.A. ORCID: https://orcid.org/0000-0001-8634-7002 2024. Reduced order isogeometric boundary element methods for CAD-integrated shape optimization in electromagnetic scattering. Computer Methods in Applied Mechanics and Engineering 419 , 116654. 10.1016/j.cma.2023.116654

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Abstract

This paper formulates a model order reduction method for electromagnetic boundary element analysis and extends it to computer-aided design integrated shape optimization of multi-frequency electromagnetic scattering problems. Firstly, a series expansion technique is adopted to decouple frequency-dependent terms from the integrands in boundary element formulation, and the second-order Arnoldi procedure is utilized to reduce the order of original systems. Secondly, to ensure geometric exactness and avoid re-meshing during shape optimization, the isogeometric boundary element method is employed, which uses the Non-Uniform Rational B-splines to represent the geometry and to discretize boundary integral equations. Lastly, we employ the Grey Wolf Optimization-Artificial Neural Network as a surrogate model for shape optimization in multi-frequency electromagnetic scattering problems, with the radar cross section as the objective function. Several examples are provided to demonstrate the accuracy and efficiency of the proposed algorithm.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Publisher:	Elsevier
ISSN:	0045-7825
Date of Acceptance:	19 November 2023
Last Modified:	16 Jan 2024 15:08
URI:	https://orca.cardiff.ac.uk/id/eprint/164768

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