An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces

Research output: Contribution to journalArticlepeer-review

244 Downloads (Pure)

Abstract

A high-order accurate, explicit kernel-split, panel-based, Fourier–Nyström discretization scheme is developed for integral equations associated with the Helmholtz equation in axially symmetric domains. Extensive incorporation of analytic information about singular integral kernels and on-the-fly computation of nearly singular quadrature rules allow for very high achievable accuracy, also in the evaluation of fields close to the boundary of the computational domain.
Original languageEnglish
Pages (from-to)686-703
JournalJournal of Computational Physics
Volume272
DOIs
Publication statusPublished - 2014

Bibliographical note

The information about affiliations in this record was updated in December 2015.
The record was previously connected to the following departments: Electromagnetic Theory (LUR000030), Numerical Analysis (011015004), Department of Electroscience (011041000)

Subject classification (UKÄ)

  • Mathematics
  • Other Electrical Engineering, Electronic Engineering, Information Engineering

Free keywords

  • Singular kernel
  • Boundary integral equation
  • Body of revolution
  • High order discretization
  • Acoustic resonator
  • Helmholtz equation

Fingerprint

Dive into the research topics of 'An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces'. Together they form a unique fingerprint.

Cite this