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- W4299810323 abstract "Integral equation methods for solving the Laplace-Beltrami equation on the unit sphere in the presence of multiple islands are presented. The surface of the sphere is first mapped to a multiply-connected region in the complex plane via a stereographic projection. After discretizing the integral equation, the resulting dense linear system is solved iteratively using the fast multipole method for the 2D Coulomb potential in order to calculate the matrix-vector products. This numerical scheme requires only O(N) operations, where $N$ is the number of nodes in the discretization of the boundary. The performance of the method is demonstrated on several examples." @default.
- W4299810323 created "2022-10-03" @default.
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- W4299810323 date "2013-06-03" @default.
- W4299810323 modified "2023-10-18" @default.
- W4299810323 title "Fast integral equation methods for the Laplace-Beltrami equation on the sphere" @default.
- W4299810323 doi "https://doi.org/10.48550/arxiv.1306.0612" @default.
- W4299810323 hasPublicationYear "2013" @default.
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