Gradient-based shape optimization for electromagnetic problems using IGFEM

Kedi Zhang, Ahmad Raeisi Najafi, Philippe H. Geubelle, Jian Ming Jin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A gradient-based shape optimization scheme combined with an interface-enriched generalized finite-element method (IGFEM) is proposed to efficiently optimize electro-magnetic (EM) problems. To avoid mesh distortion or the expensive process of repeatedly creating a conformal mesh for each design configuration, the problem geometry is projected onto a fixed background mesh that is not necessarily conformal to the geometry. The IGFEM, with an enriched solution space in nonconformal elements, is adopted for an accurate EM simulation. An analytical sensitivity analysis is presented to compute the derivatives of the objective and constraint functions. Because of the fixed background mesh, the design velocity field term in the sensitivity analysis is evaluated only at the geometry interfaces, and the efficiency of this method is significantly enhanced. An optimization of the radius of a dielectric cylinder to achieve the desired echo width is presented for verification.

Original languageEnglish (US)
Title of host publication2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages579-580
Number of pages2
ISBN (Electronic)9781509028863
DOIs
StatePublished - Oct 25 2016
Event2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Fajardo, Puerto Rico
Duration: Jun 26 2016Jul 1 2016

Publication series

Name2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings

Other

Other2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016
CountryPuerto Rico
CityFajardo
Period6/26/167/1/16

ASJC Scopus subject areas

  • Instrumentation
  • Radiation
  • Computer Networks and Communications

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    Zhang, K., Najafi, A. R., Geubelle, P. H., & Jin, J. M. (2016). Gradient-based shape optimization for electromagnetic problems using IGFEM. In 2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings (pp. 579-580). [7695998] (2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APS.2016.7695998