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

Summary, in English

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.

• Författare: Johan Helsing; Anders Karlsson
• Avdelning/ar: Matematik LTH; Institutionen för elektro- och informationsteknik; Harmonic Analysis and Applications; eSSENCE: The e-Science Collaboration
• Publiceringsår: 2014
• Språk: Engelska
• Sidor: 686-703
• Publikation/Tidskrift/Serie: Journal of Computational Physics
• Volym: 272
• Fulltext: - 1 MB; Download statistics
• Länkar: http://www.maths.lth.se/na/staff/helsing/JCP14.pdf; http://dx.doi.org/10.1016/j.jcp.2014.04.053
• Dokumenttyp: Artikel i tidskrift
• Förlag: Elsevier
• Ämne: Mathematics; Other Electrical Engineering, Electronic Engineering, Information Engineering
• Nyckelord: Singular kernel; Boundary integral equation; Body of revolution; High order discretization; Acoustic resonator; Helmholtz equation
• Status: Published
• Forskningsgrupp: Electromagnetic theory; Harmonic Analysis and Applications; Harmonic Analysis and Applications
• ISBN/ISSN/Övrigt: ISSN: 0021-9991