Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems

Summary, in English

The incorporation of analytical kernel information is exploited in the construction of Nyström discretization schemes for integral equations modeling planar Helmholtz boundary value problems. Splittings of kernels and matrices, coarse and fine grids, high-order polynomial interpolation, product integration performed on the fly, and iterative solution are some of the numerical techniques used to seek rapid and stable convergence of computed fields in the entire computational domain.

• Författare: Johan Helsing; Anders Holst
• Avdelning/ar: Matematik LTH; Partial differential equations; Harmonic Analysis and Applications
• Publiceringsår: 2015
• Språk: Engelska
• Sidor: 691-708
• Publikation/Tidskrift/Serie: Advances in Computational Mathematics
• Volym: 41
• Issue: 3
• Fulltext: - 1 MB; Download statistics
• Länkar: http://www.maths.lth.se/na/staff/helsing/helsholst.pdf; http://dx.doi.org/10.1007/s10444-014-9383-y
• Dokumenttyp: Artikel i tidskrift
• Förlag: Springer
• Ämne: Computational Mathematics
• Nyckelord: high-order quadrature; singular kernel; Helmholtz equation; Nyström discretization; integral equation
• Status: Published
• Forskningsgrupp: Harmonic Analysis and Applications; Partial differential equations; Harmonic Analysis and Applications
• ISBN/ISSN/Övrigt: ISSN: 1019-7168