𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Fast Fourier–Galerkin Method for Solving Singular Boundary Integral Equations

✍ Scribed by Cai, Haotao; Xu, Yuesheng


Book ID
118190194
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
244 KB
Volume
46
Category
Article
ISSN
0036-1429

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Fast Fourier–Galerkin methods for solvin
✍ Ying Jiang; Yuesheng Xu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 463 KB

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

A fast Fourier-collocation method for se
✍ Haotao Cai 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 501 KB

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