A High-order Density-Interpolation-Based Nyström Method for Three-Dimensional Electromagnetic Boundary Integral Equations

Rodrigo Arrieta, Luiz M. Faria, Carlos Perez-Arancibia*, Catalin Turc

*Corresponding author for this work

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

4 Downloads (Pure)

Abstract

This work presents a novel high-order Nystr\"om method for the numerical solution of electromagnetic boundary integral equations. Our method is based on the construction of suitable surface current interpolants as linear combination of electric dipole fields. Relying on Stratton-Chu formula applied to the density interpolants, we recast standard electromagnetic boundary integral equations, such as the classical EFIE, MFIE, and CFIE, in terms of smooth (at least bounded) surface integrands that can be accurately and inexpensively integrated over curved triangular or quadrilateral surface discretizations by means of elementary quadrature rules. Several numerical examples demonstrate the accuracy of the proposed approach.
Original languageEnglish
Title of host publicationThe 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation
Pages158-159
Number of pages2
Publication statusPublished - 25 Jul 2022
Event15th International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2022 - ENSTA, Palaiseau, France
Duration: 25 Jul 202229 Jul 2022
Conference number: 15
https://waves2022.apps.math.cnrs.fr/

Conference

Conference15th International Conference on Mathematical and Numerical Aspects of Wave Propagation, WAVES 2022
Abbreviated titleWAVES 22
Country/TerritoryFrance
CityPalaiseau
Period25/07/2229/07/22
Internet address

Fingerprint

Dive into the research topics of 'A High-order Density-Interpolation-Based Nyström Method for Three-Dimensional Electromagnetic Boundary Integral Equations'. Together they form a unique fingerprint.

Cite this