@Article{AAMM-4-5,
author = {Wang, Li},
title = {The Collocation Method and the Splitting Extrapolation for the First Kind of Boundary Integral Equations on Polygonal Regions},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2012},
volume = {4},
number = {5},
pages = {603--616},
abstract = {<p style="text-align: justify;">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&#39;s periodic transformation and domain decomposition, the errors are proved to possess the multi-parameter 
asymptotic expansion at the interior point with the powers $h_{i}^{3}(i=1,...,d)$, 
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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.10-m11159},
url = {https://global-sci.com/article/73561/the-collocation-method-and-the-splitting-extrapolation-for-the-first-kind-of-boundary-integral-equations-on-polygonal-regions}
}