Spectral collocation methods and polar coordinate singularities
โ Scribed by Henner Eisen; Wilhelm Heinrichs; Kristian Witsch
- Book ID
- 103159084
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 763 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0021-9991
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๐ SIMILAR VOLUMES
In this paper, we present a direct spectral collocation method for the solution of the Poisson equation in polar and cylindrical coordinates. The solver is applied to the Poisson equations for several different domains including a part of a disk, an annulus, a unit disk, and a cylinder. Unlike other
A new set of polynomial functions that can be used in spectral expansions of \(C^{\infty}\) functions in polar coordinates \((r, \phi)\) is defined by a singular Sturm-Liouville equation. With the use of the basis functions, the spectral representations remain analytic at the pole despite the coordi