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• W2001023302 abstract "This paper considers the numerical solution of elliptic differential equations on the unit disk. Using polar coordinates, the disk is mapped onto a rectangle. The resulting transformed problem is solved by a method related to collocation. Since the origin is a coordinate singularity, some natural trial functions are singular there and a special technique is applied to use zero as a collocation point. For Poisson and Helmholtz equations, a fast algorithm with an operation count of O(N2 log N) is presented. Numerical results show the different stability and convergence properties of the algorithms." @default.
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• W2001023302 date "1991-10-01" @default.
• W2001023302 modified "2023-09-24" @default.
• W2001023302 title "Spectral collocation methods and polar coordinate singularities" @default.
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• W2001023302 doi "https://doi.org/10.1016/0021-9991(91)90235-d" @default.
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