Abstract
Analytic expressions are presented for surface integrals whose kernels are the gradient of the normal derivative of the static Green's function. The derived integrals are valid over linear triangular mesh elements for constant and linear basis functions. Numerical results are validated in double precision using an arbitrary-precision math library. Near-machine precision accuracy is achieved for the cases presented.
Original language | English |
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Title of host publication | 2024 International Applied Computational Electromagnetics Society Symposium, ACES 2024 |
ISBN (Electronic) | 9781733509671 |
State | Published - 2024 |
Event | 2024 International Applied Computational Electromagnetics Society Symposium, ACES 2024 - Orlando, United States Duration: May 19 2024 → May 22 2024 |
Publication series
Name | 2024 International Applied Computational Electromagnetics Society Symposium, ACES 2024 |
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Conference
Conference | 2024 International Applied Computational Electromagnetics Society Symposium, ACES 2024 |
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Country/Territory | United States |
City | Orlando |
Period | 5/19/24 → 5/22/24 |
Bibliographical note
Publisher Copyright:© 2024 The Applied Computational Electromagnetics Society.
Keywords
- analytic integration
- integral equation methods
- triangular mesh elements
ASJC Scopus subject areas
- Computational Mathematics
- Mathematical Physics
- Instrumentation
- Radiation