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A fast Fourier-Galerkin method for solving integral equations of second kind with weakly singular kernels

✍ Scribed by Haotao Cai

Book ID
107619902
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
362 KB
Volume
32
Category
Article
ISSN
1598-5865

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We develop a fast fully discrete Fourier-Galerkin method for solving a class of singular boundary integral equations. We prove that the number of multiplications used in generating the compressed matrix is O(n log 3 n), and the solution of the proposed method preserves the optimal convergence order