Journal
2021 INTERNATIONAL APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY SYMPOSIUM (ACES)
Volume -, Issue -, Pages -Publisher
IEEE
DOI: 10.1109/ACES53325.2021.00019
Keywords
integral equations; spectral methods; Nystrom method; scattering
Categories
Funding
- National Science Foundation [1849965, 2030859]
- Air Force Office of Scientific Research [FA9550-20-1-0087]
- Direct For Computer & Info Scie & Enginr
- Division of Computing and Communication Foundations [1849965] Funding Source: National Science Foundation
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Boundary element methods have been successfully used to solve complex electromagnetic problems, with high-order methods based on curvilinear discretization shown to outperform low-order methods in accuracy and computational efficiency.
Boundary element methods (BEM) have been successfully applied towards solving a broad array of complicated electromagnetic problems. Most BEM approaches rely on flat triangular discretizations and discretization via the Method of Moments (MoM) and low-order basis functions. Although more complicated from an implementation standpoint, it has been shown that high-order methods based on curvilinear patch mesh discretizations can significantly outperform low-order MoM in both accuracy and computational efficiency. In this work, we review a new high-order Nystrom method based on using Chebyshev basis functions with curvilinear elements that we have recently developed, present a few scattering examples, and discuss related on-going and future work.
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