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- W4386747835 abstract "Abstract The Fourier method approach to the Neumann problem for the Laplacian operator in the case of a solid torus contrasts in many respects with the much more straight forward situation of a ball in 3-space. Although the Dirichlet-to-Neumann map can be readily expressed in terms of series expansions with toroidal harmonics, we show that the resulting equations contain undetermined parameters which cannot be calculated algebraically. A method for rapidly computing numerical solutions of the Neumann problem is presented with numerical illustrations. The results for interior and exterior domains combine to provide a solution for the Neumann problem for the case of a shell between two tori." @default.
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- W4386747835 date "2023-09-14" @default.
- W4386747835 modified "2023-10-06" @default.
- W4386747835 title "Fourier method for the Neumann problem on a torus" @default.
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- W4386747835 doi "https://doi.org/10.1007/s13324-023-00836-4" @default.
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