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.

• Author: Johan Helsing; Anders Karlsson
• Department/s: Mathematics (Faculty of Engineering); Department of Electrical and Information Technology; Harmonic Analysis and Applications; eSSENCE: The e-Science Collaboration
• Publishing year: 2014
• Language: English
• Pages: 686-703
• Publication/Series: Journal of Computational Physics
• Volume: 272
• Full text: - 1 MB; Download statistics
• Links: http://www.maths.lth.se/na/staff/helsing/JCP14.pdf; http://dx.doi.org/10.1016/j.jcp.2014.04.053
• Document type: Journal article
• Publisher: Elsevier
• Topic: Mathematics; Other Electrical Engineering, Electronic Engineering, Information Engineering
• Keywords: Singular kernel; Boundary integral equation; Body of revolution; High order discretization; Acoustic resonator; Helmholtz equation
• Status: Published
• Research group: Electromagnetic theory; Harmonic Analysis and Applications; Harmonic Analysis and Applications
• ISBN/ISSN/Other: ISSN: 0021-9991