Faster convergence and higher accuracy for the Dirichlet-Neumann map
(2009) In Journal of Computational Physics 228(7). p.2578-2586- Abstract
- New techniques allow for more efficient boundary integral algorithms to compute the Dirichlet–Neumann map for Laplace’s equation in two-dimensional exterior domains. Novelties include a new post-processor which reduces the need for discretization points with 50%, a new integral equation which reduces the error for resolved geometries with a factor equal to the system size, systematic use of regularization which reduces the error even further, and adaptive mesh generation based on kernel resolution.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1293815
- author
- Helsing, Johan LU
- organization
- publishing date
- 2009
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Fast multipole method, Integral equations, Dirichlet–Neumann map, Potential theory, Nyström method
- in
- Journal of Computational Physics
- volume
- 228
- issue
- 7
- pages
- 2578 - 2586
- publisher
- Elsevier
- external identifiers
-
- wos:000264291900015
- scopus:60149112743
- ISSN
- 0021-9991
- DOI
- 10.1016/j.jcp.2008.12.025
- 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
- e6760afd-1400-4203-98c7-a30e62115004 (old id 1293815)
- alternative location
- http://www.maths.lth.se/na/staff/helsing/JCP09a.pdf
- date added to LUP
- 2016-04-01 11:39:57
- date last changed
- 2022-01-26 08:22:32
@article{e6760afd-1400-4203-98c7-a30e62115004, abstract = {{New techniques allow for more efficient boundary integral algorithms to compute the Dirichlet–Neumann map for Laplace’s equation in two-dimensional exterior domains. Novelties include a new post-processor which reduces the need for discretization points with 50%, a new integral equation which reduces the error for resolved geometries with a factor equal to the system size, systematic use of regularization which reduces the error even further, and adaptive mesh generation based on kernel resolution.}}, author = {{Helsing, Johan}}, issn = {{0021-9991}}, keywords = {{Fast multipole method; Integral equations; Dirichlet–Neumann map; Potential theory; Nyström method}}, language = {{eng}}, number = {{7}}, pages = {{2578--2586}}, publisher = {{Elsevier}}, series = {{Journal of Computational Physics}}, title = {{Faster convergence and higher accuracy for the Dirichlet-Neumann map}}, url = {{https://lup.lub.lu.se/search/files/2585381/1370442.pdf}}, doi = {{10.1016/j.jcp.2008.12.025}}, volume = {{228}}, year = {{2009}}, }