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.
Funding
This work was supported in part by Office of Naval Research Grants N00014-21-1-2599 and in part by the Department of Education s GAANN Fellowship Program through the University of Kentucky Electrical and Computer Engineering Department.
| Funders | Funder number |
|---|---|
| U.S. Department of Education, OSERS | |
| University of Kentucky Department of Electrical and Computer Engineering | |
| Office of Naval Research Naval Academy | N00014-21-1-2599 |
| Office of Naval Research Naval Academy |
Keywords
- analytic integration
- integral equation methods
- triangular mesh elements
ASJC Scopus subject areas
- Computational Mathematics
- Mathematical Physics
- Instrumentation
- Radiation