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2013 Solving Integral Equations on Piecewise Smooth Boundaries Using the RCIP Method: A Tutorial
Johan Helsing
Abstr. Appl. Anal. 2013(SI51): 1-20 (2013). DOI: 10.1155/2013/938167

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.

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Johan Helsing. "Solving Integral Equations on Piecewise Smooth Boundaries Using the RCIP Method: A Tutorial." Abstr. Appl. Anal. 2013 (SI51) 1 - 20, 2013. https://doi.org/10.1155/2013/938167

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1328.65271
MathSciNet: MR3045054
Digital Object Identifier: 10.1155/2013/938167

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI51 • 2013
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