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