Journal of Integral Equations and Applications
- J. Integral Equations Applications
- Volume 26, Number 2 (2014), 197-213.
A collocation method for a hypersingular boundary integral equation via trigonometric differentiation
Revisiting the author's paper from 1995 on this topic, a fully discrete collocation method is proposed for the hypersingular integral equation arising from the double-layer approach for the solution of Neumann boundary value problems in two dimensions which is based on trigonometric differentiation to discretize the principal part of the hypersingular operator. Convergence in a Sobolev space setting is proven and the spectral convergence of the method is exhibited by numerical examples.
J. Integral Equations Applications, Volume 26, Number 2 (2014), 197-213.
First available in Project Euclid: 21 July 2014
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Kress, Rainer. A collocation method for a hypersingular boundary integral equation via trigonometric differentiation. J. Integral Equations Applications 26 (2014), no. 2, 197--213. doi:10.1216/JIE-2014-26-2-197. https://projecteuclid.org/euclid.jiea/1405949662