Fast Fourier-Galerkin Methods for Nonlinear Boundary Integral Equations
โ Scribed by Xiangling Chen, Rui Wang, Yuesheng Xu
- Book ID
- 120721986
- Publisher
- Springer US
- Year
- 2013
- Tongue
- English
- Weight
- 256 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0885-7474
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๐ SIMILAR VOLUMES
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
In this paper we develop a fast collocation method for second boundary integral equations by the trigonometric polynomials. We propose a convenient way to compress the dense matrix representation of a compact integral operator with a smooth kernel under the Fourier basis and the corresponding colloc