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Spectral element method

In the numerical solution of partial differential equations, a topic in mathematics, the spectral element method (SEM) is a formulation of the finite element method (FEM) that uses high-degree piecewise polynomials as basis functions. The spectral element method was introduced in a 1984 paper[1] by A. T. Patera. Although Patera is credited with development of the method, his work was a rediscovery of an existing method (see Development History)

  1. ^ Patera, A. T. (1984). "A spectral element method for fluid dynamics - Laminar flow in a channel expansion". Journal of Computational Physics. 54 (3): 468–488. Bibcode:1984JCoPh..54..468P. doi:10.1016/0021-9991(84)90128-1.

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Méthode des éléments spectraux French Метод спектрального элемента Russian Метод спектральних елементів Ukrainian

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