Exact calculation of Fourier series in nonconforming spectral-element methods

Details Exact calculation of Fourier series in nonconforming spectral-element methods Exact calculation of Fourier series in nonconforming spectral-element methods

2005-07-20

arxiv.org/abs/math/0507403v1

Mathematics

Numerical Analysis

7 pages, 4 figures, submitted to J. Comp. Phys. 2005 June 2

Scientific paper

10.1016/j.jcp.2005.11.023

In this note is presented a method, given nodal values on multidimensional nonconforming spectral elements, for calculating global Fourier-series coefficients. This method is ``exact'' in that given the approximation inherent in the spectral-element method (SEM), no further approximation is introduced that exceeds computer round-off error. The method is very useful when the SEM has yielded an adaptive-mesh representation of a spatial function whose global Fourier spectrum must be examined, e.g., in dynamically adaptive fluid-dynamics simulations.

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