Open Access
2013 The Modified Trapezoidal Rule for Computing Hypersingular Integral on Interval
Jin Li, Xiuzhen Li
J. Appl. Math. 2013: 1-9 (2013). DOI: 10.1155/2013/736834


The modified trapezoidal rule for the computation of hypersingular integrals in boundary element methods is discussed. When the special function of the error functional equals zero, the convergence rate is one order higher than the general case. A new quadrature rule is presented and the asymptotic expansion of error function is obtained. Based on the error expansion, not only do we obtain a high order of accuracy, but also a posteriori error estimate is conveniently derived. Some numerical results are also reported to confirm the theoretical results and show the efficiency of the algorithms.


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Jin Li. Xiuzhen Li. "The Modified Trapezoidal Rule for Computing Hypersingular Integral on Interval." J. Appl. Math. 2013 1 - 9, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

MathSciNet: MR3142567
zbMATH: 06950850
Digital Object Identifier: 10.1155/2013/736834

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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