Spectral Element Method: Finite Element Method, Mathematics - Softcover

 
9786131195228: Spectral Element Method: Finite Element Method, Mathematics

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the spectral element method is a high order finite element method. Introduced in a 1984 paper by A. T. Patera, the abstract begins: A spectral element method that combines the generality of the finite element method with the accuracy of spectral techniques..." The spectral element method is an elegant formulation of the finite element method with a high degree piecewise polynomial basis. The spectral method expands the solution in trigonometric series, a chief advantage is that the resulting method is of very high order. This approach relies on the fact that trigonometric polynomials are an orthonormal basis for L2(Ω). The spectral element method chooses instead high degree piecewise polynomial basis functions, also achieving a very high order of accuracy. "

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the spectral element method is a high order finite element method. Introduced in a 1984 paper by A. T. Patera, the abstract begins: A spectral element method that combines the generality of the finite element method with the accuracy of spectral techniques..." The spectral element method is an elegant formulation of the finite element method with a high degree piecewise polynomial basis. The spectral method expands the solution in trigonometric series, a chief advantage is that the resulting method is of very high order. This approach relies on the fact that trigonometric polynomials are an orthonormal basis for L2(Ω). The spectral element method chooses instead high degree piecewise polynomial basis functions, also achieving a very high order of accuracy. "

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