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The Collocation Method and the Splitting Extrapolation for the First Kind of Boundary Integral Equations on Polygonal Regions

Published online by Cambridge University Press:  03 June 2015

Li Wang
Li Wang*
Affiliation:
Civil Aviation Flight University of China, Guanghan 618307, China
*
*Corresponding author. Email: Joy81216060@163.com
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Abstract

In this paper, the collocation methods are used to solve the boundary integral equations of the first kind on the polygon. By means of Sidi’s periodic transformation and domain decomposition, the errors are proved to possess the multi-parameter asymptotic expansion at the interior point with the powers (i = 1,...,d), which means that the approximations of higher accuracy and a posteriori estimation of the errors can be obtained by splitting extrapolations. Numerical experiments are carried out to show that the methods are very efficient.

Keywords

65R10Splitting extrapolationboundary integral equation of the first kind on polygoncollocation methodposteriori estimation
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 5 , October 2012 , pp. 603 - 616
Copyright
Copyright © Global-Science Press 2012

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References

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