Abstract
Analytic expressions are presented for two-dimensional integrals over curvilinear domains whose integrands are the product of a logarithmic kernel and a polynomial. Limitations of the expressions are discussed. Numerical results are validated in double precision using an arbitrary-precision math library [1]. Near-machine precision accuracy is achieved in many cases.
| Original language | English |
|---|---|
| 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 |
|---|
Conference
| Conference | 2024 International Applied Computational Electromagnetics Society Symposium, ACES 2024 |
|---|---|
| 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 by the Department of Education s GAANN Fellowship Program through the University of Kentucky Electrical and Computer Engineering Department.
| Funders |
|---|
| U.S. Department of Education, OSERS |
| University of Kentucky Department of Electrical and Computer Engineering |
Keywords
- analytic integration
- curvilinear domains
- higher-order numerical methods
- integral equation methods
ASJC Scopus subject areas
- Computational Mathematics
- Mathematical Physics
- Instrumentation
- Radiation
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