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Journal of Scientific Computing
Published in: Journal of Scientific Computing 2/2016

14-05-2015

Trapezoidal Rule for Computing Supersingular Integral on a Circle

Authors: Jin Li, Hongxing Rui, Dehao Yu

Published in: Journal of Scientific Computing | Issue 2/2016

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Abstract

The computation of trapezoidal rule for the supersingular integrals on a circle in boundary element methods is discussed. When the singular point coincides with some priori known point, the convergence rate of the trapezoidal rule is higher than the global one which is considered as the superconvergence phenomenon. Then the error functional of density function is derived and the superconvergence phenomenon of composite trapezoidal rule occurs at certain local coordinate of each subinterval. At last, several numerical examples are provided to validate the theoretical analysis and show the efficiency of the algorithms.
previous article A Compact Difference Scheme for Fractional Sub-diffusion Equations with the Spatially Variable Coefficient Under Neumann Boundary Conditions
next article High Order Boundary Extrapolation Technique for Finite Difference Methods on Complex Domains with Cartesian Meshes

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Appendix
Available only for authorised users
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Metadata
Title
Trapezoidal Rule for Computing Supersingular Integral on a Circle
Authors
Jin Li
Hongxing Rui
Dehao Yu
Publication date
14-05-2015
Publisher
Springer US
Published in
Journal of Scientific Computing / Issue 2/2016
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-015-0042-3

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