@Article{JCM-10-231,
author = {Graham , I.G.Lin , Qun and Xie , Rui-Feng},
title = {Extrapolation of Nyström Solutions of Boundary Integral Equations on Non-Smooth Domains},
journal = {Journal of Computational Mathematics},
year = {1992},
volume = {10},
number = {3},
pages = {231--244},
abstract = {<p style="text-align: justify;">The interior Dirichlet problem for Laplace&#39;s equation on a plane polygonal region $\Omega$ with boundary $\Gamma$ may be reformulated as a second kind integral equation on $\Gamma$. This equation may be solved by the Nyström method using the composite trapezoidal rule. It is known that if the mesh has $O(n)$ points and is graded appropriately, then $O(1/n^2)$ convergence is obtained for the solution of the integral equation and the associated solution to the Dirichlet problem at any $x\in \Omega$. We present a simple extrapolation scheme which increases these rates of convergence to $O(1/n^4)$ . &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/9356.html}
}