A higher-order singularity subtraction technique for the discretization of singular integral operators on curved surfaces
Författare
Summary, in English
This note is about promoting singularity subtraction as a helpful tool in the discretization of singular integral operators on curved surfaces. Singular and nearly singular kernels are expanded in series whose terms are integrated on parametrically rectangular regions using high-order product integration, thereby reducing the need for spatial adaptivity and precomputed weights. A simple scheme is presented and an application to the interior Dirichlet Laplace problem on some tori gives around ten digit accurate results using only two expansion terms and a modest programming- and computational effort.
Avdelning/ar
- Matematik LTH
- Harmonic Analysis and Applications
- eSSENCE: The e-Science Collaboration
Publiceringsår
2013
Språk
Engelska
Publikation/Tidskrift/Serie
arXiv
Volym
http://arxiv.org/abs/1301.7276
Fulltext
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Länkar
Dokumenttyp
Working paper
Förlag
Cornell University Library
Ämne
- Mathematics
Status
Published
Forskningsgrupp
- Harmonic Analysis and Applications
- Harmonic Analysis and Applications