A higher-order singularity subtraction technique for the discretization of singular integral operators on curved surfaces
(2013) In arXiv http://arxiv.org/abs/1301.7276.- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4113953
- author
- Helsing, Johan LU
- organization
- publishing date
- 2013
- type
- Working paper/Preprint
- publication status
- published
- subject
- in
- arXiv
- volume
- http://arxiv.org/abs/1301.7276
- pages
- 7 pages
- publisher
- Cornell University Library
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
- id
- 6f52485b-47f8-4be9-a562-c2f546655277 (old id 4113953)
- alternative location
- http://www.maths.lth.se/na/staff/helsing/tori.pdf
- date added to LUP
- 2016-04-04 10:42:58
- date last changed
- 2018-11-21 21:00:22
@misc{6f52485b-47f8-4be9-a562-c2f546655277, abstract = {{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.}}, author = {{Helsing, Johan}}, language = {{eng}}, note = {{Working Paper}}, publisher = {{Cornell University Library}}, series = {{arXiv}}, title = {{A higher-order singularity subtraction technique for the discretization of singular integral operators on curved surfaces}}, url = {{https://lup.lub.lu.se/search/files/5604747/4157473.pdf}}, volume = {{http://arxiv.org/abs/1301.7276}}, year = {{2013}}, }