Solving integral equations on piecewise smooth boundaries using the RCIP method: a tutorial
(2013) In Abstract and Applied Analysis- Abstract
- Recursively compressed inverse preconditioning (RCIP) is a numerical method for obtaining highly accurate solutions to integral equations on piecewise smooth surfaces. The method originated in 2008 as a technique within a scheme for solving Laplace’s equation in two-dimensional domains with corners. In a series of subsequent papers, the technique was then refined and extended as to apply to integral equation formulations of a broad range of boundary value problems in physics and engineering. The purpose of the present paper is threefold: first, to review the RCIP method in a simple setting; second, to show how easily the method can be implemented in MATLAB; third, to present new applications of RCIP to integral equations of scattering... (More)
- Recursively compressed inverse preconditioning (RCIP) is a numerical method for obtaining highly accurate solutions to integral equations on piecewise smooth surfaces. The method originated in 2008 as a technique within a scheme for solving Laplace’s equation in two-dimensional domains with corners. In a series of subsequent papers, the technique was then refined and extended as to apply to integral equation formulations of a broad range of boundary value problems in physics and engineering. The purpose of the present paper is threefold: first, to review the RCIP method in a simple setting; second, to show how easily the method can be implemented in MATLAB; third, to present new applications of RCIP to integral equations of scattering theory on planar curves with corners. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3633902
- author
- Helsing, Johan LU
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Abstract and Applied Analysis
- article number
- 938167
- publisher
- Hindawi Limited
- external identifiers
-
- wos:000318089400001
- scopus:84877306767
- ISSN
- 1085-3375
- DOI
- 10.1155/2013/938167
- language
- English
- LU publication?
- yes
- additional info
- This is an Open Access publication. 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
- 383dc44b-1fde-4ece-9b51-cee38933e436 (old id 3633902)
- alternative location
- http://www.maths.lth.se/na/staff/helsing/Tutor/tutorial12.pdf
- date added to LUP
- 2016-04-01 11:13:35
- date last changed
- 2022-01-26 06:18:49
@article{383dc44b-1fde-4ece-9b51-cee38933e436,
abstract = {{Recursively compressed inverse preconditioning (RCIP) is a numerical method for obtaining highly accurate solutions to integral equations on piecewise smooth surfaces. The method originated in 2008 as a technique within a scheme for solving Laplace’s equation in two-dimensional domains with corners. In a series of subsequent papers, the technique was then refined and extended as to apply to integral equation formulations of a broad range of boundary value problems in physics and engineering. The purpose of the present paper is threefold: first, to review the RCIP method in a simple setting; second, to show how easily the method can be implemented in MATLAB; third, to present new applications of RCIP to integral equations of scattering theory on planar curves with corners.}},
author = {{Helsing, Johan}},
issn = {{1085-3375}},
language = {{eng}},
publisher = {{Hindawi Limited}},
series = {{Abstract and Applied Analysis}},
title = {{Solving integral equations on piecewise smooth boundaries using the RCIP method: a tutorial}},
url = {{https://lup.lub.lu.se/search/files/2487276/4113819.pdf}},
doi = {{10.1155/2013/938167}},
year = {{2013}},
}