A new Chebyshev spectral element method has been developed in this paper, in which exact quadratures are used to overcome a shortfall of the Gauss–Chebyshev ...
This paper introduces the spectral element method based on high-order complete orthogonal polynomials into three-dimensional frequency-domain airborne ...
Spectral methods on bounded domains typically employ grids consisting of zeros or extrema of Chebyshev polynomials (\Chebyshev points"), zeros or extrema of ...
The Chebyshev spectral element approximation with exact quadratures. scientific article. Statements. instance of · scholarly article. 0 references. title.
Abstract In this paper we describe the use of multivariate Chebyshev polynomials in computing spec- tral derivations and Clenshaw–Curtis type quadratures.
May 3, 2013 · If {𝜙 } is a polynomial basis, then the inner products required by the Galerkin method can be accurately approximated by Gaussian quadrature.
Abstract In this paper we describe the use of multivariate Chebyshev polynomials in computing spectral derivations and Clenshaw–Curtis type quadratures.
2 Chebyshev & Fourier Series. 19. 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19. 2.2 Fourierseries .
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The aim of this research is to develop an accurate Chebyshev spectral element method to simulate the natural convection in a porous cavity with the LTNE model, ...
The spectral element method (SEM) is a formulation of the finite element method (FEM) that uses high-degree piecewise polynomials as basis functions.