Abstract
This contribution investigates the connection between Iso geometric analysis (IGA) and integral equation (IE) methods for full-wave electromagnetic problems up to the low-frequency limit. The proposed spline-based IE method allows for an exact representation of the model geometry described in terms of nonuniform rational B-splines (NURBS) without meshing. This is particularly useful when high accuracy is required or when meshing is cumbersome, for instance, during the optimization of electric components. The augmented electric field IE (EFIE) is adopted, and the deflation method is applied, so the low-frequency breakdown is avoided. The extension to higher-order basis functions is analyzed and the convergence rate is discussed. Numerical experiments on academic and realistic test cases demonstrate the high accuracy of the proposed approach.
Recommended Citation
M. Nolte et al., "A Low-Frequency-Stable Higher-Order Isogeometric Discretization of the Augmented Electric Field Integral Equation," IEEE Transactions on Antennas and Propagation, vol. 73, no. 3, pp. 1688 - 1697, Institute of Electrical and Electronics Engineers, Jan 2025.
The definitive version is available at https://doi.org/10.1109/TAP.2024.3524031
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
B-splines; computer-aided design (CAD); electromagnetic modeling; integral equations (IEs); isogeometric analysis (IGA)
International Standard Serial Number (ISSN)
1558-2221; 0018-926X
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2025 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
01 Jan 2025
Comments
Deutscher Akademischer Austauschdienst, Grant 443179833