Solving Integral Equations on Piecewise Smooth Boundaries Using the RCIP Method : A Tutorial
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-16
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Helsing, Johan. 2013. Solving Integral Equations on Piecewise Smooth Boundaries Using the RCIP Method : A Tutorial. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-20.
https://search.emarefa.net/detail/BIM-509727
Modern Language Association (MLA)
Helsing, Johan. Solving Integral Equations on Piecewise Smooth Boundaries Using the RCIP Method : A Tutorial. Abstract and Applied Analysis No. 2013 (2013), pp.1-20.
https://search.emarefa.net/detail/BIM-509727
American Medical Association (AMA)
Helsing, Johan. Solving Integral Equations on Piecewise Smooth Boundaries Using the RCIP Method : A Tutorial. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-20.
https://search.emarefa.net/detail/BIM-509727
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509727