Analytic Two-Dimensional Logarithm Integrals on Curvilinear Domains

Jordon N. Blackburn, John C. Young

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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 languageEnglish
Title of host publication2024 International Applied Computational Electromagnetics Society Symposium, ACES 2024
ISBN (Electronic)9781733509671
StatePublished - 2024
Event2024 International Applied Computational Electromagnetics Society Symposium, ACES 2024 - Orlando, United States
Duration: May 19 2024May 22 2024

Publication series

Name2024 International Applied Computational Electromagnetics Society Symposium, ACES 2024

Conference

Conference2024 International Applied Computational Electromagnetics Society Symposium, ACES 2024
Country/TerritoryUnited States
CityOrlando
Period5/19/245/22/24

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

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