Affiliation:
1. School of Science, Civil Aviation Flight University of China, Guanghan, China
Abstract
Based on the single-layer potential theory, the Laplace equation can be
converted into the problem of the first-kind boundary integral equation
(BIE1st). The kernel of BIE1st is characterized by the logarithmic
singularity. In this paper, we investigate the Nystrom method for solving
the BIE1st. The numerical solutions possess high accuracy orders O(h3) and
the combination of two kinds of Nystrom solutions has the same accuracy as
the result with double grid. Furthermore, by the double power
transformation, the proposed method can be used to deal with the problem on
the non-smooth boundary and has the higher accuracy. The efficiency is
illustrated by some examples.
Publisher
National Library of Serbia
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