A Mixed-Order Divergence-Conforming Locally Corrected Nystrom Method for Triangular Cells

John C. Young, Stephen D. Gedney, Robert J. Adams

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

Abstract

A locally corrected Nystrom method is presented that better models a mixed-order, divergence-conforming space on triangular cells. The theory is developed for a space that is complete to the same order for both the unknown quantity and its divergence. The method is implemented for the electric field integral equation, and convergence results are presented for scattering from a perfectly conducting sphere.

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.

Funding

This work was supported in part by Office of Naval Research Grant N00014- 21-1-2599.

FundersFunder number
Office of Naval Research Naval AcademyN00014- 21-1-2599
Office of Naval Research Naval Academy

    Keywords

    • divergence-conforming
    • integral equation
    • mixed-order
    • Nystrom method

    ASJC Scopus subject areas

    • Computational Mathematics
    • Mathematical Physics
    • Instrumentation
    • Radiation

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