paper

Exact calculation of Fourier series in nonconforming spectral-element methods

arXiv:math/0507403 · doi:10.1016/j.jcp.2005.11.023

Abstract

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.

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

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