The Superconvergence of Certain Two-Dimensional Hilbert Singular Integrals
Jin Li1, De-hao Yu2 3
School of Science, Shandong Jianzhu University, Jinan 250101, China.
School of Science, Xiamen University, Xiamen 361005, China.
LSEC, ICMSEC, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100190 , China.
The composite rectangle (midpoint) rule for the computation of multi-dimensional singular integrals is discussed and the superconvergence results is obtained. When the local coordinate is coincided with certain priori known coordinates, we get the convergence rate one order higher than the global one. At last, numerical examples are presented to illustrate our theoretical analysis which agree with it very well.
Cite This Article
Li, J., Yu, D. (2011). The Superconvergence of Certain Two-Dimensional Hilbert Singular Integrals. CMES-Computer Modeling in Engineering & Sciences, 82(3&4), 233–252.
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