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.
Keywords
- analytic integration
- curvilinear domains
- higher-order numerical methods
- integral equation methods
ASJC Scopus subject areas
- Computational Mathematics
- Mathematical Physics
- Instrumentation
- Radiation